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Sivanagaraju, S.. Control Systems Engineering. : New Academic Science, . p 223 http://site.ebrary.com/id/10595617?ppg=223 Copyright © New Academic Science. . All rights reserved. May not be reproduced in any form without permission from the publisher, except fair uses permitted under U.S. or applicable copyright law.
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Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

May 26, 2017

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Page 1: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 223http://site.ebrary.com/id/10595617?ppg=223Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 2: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 224http://site.ebrary.com/id/10595617?ppg=224Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 3: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 225http://site.ebrary.com/id/10595617?ppg=225Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 4: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 226http://site.ebrary.com/id/10595617?ppg=226Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 5: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 227http://site.ebrary.com/id/10595617?ppg=227Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 6: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 228http://site.ebrary.com/id/10595617?ppg=228Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 7: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 229http://site.ebrary.com/id/10595617?ppg=229Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 8: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 230http://site.ebrary.com/id/10595617?ppg=230Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 9: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 231http://site.ebrary.com/id/10595617?ppg=231Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 10: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 232http://site.ebrary.com/id/10595617?ppg=232Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 11: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 233http://site.ebrary.com/id/10595617?ppg=233Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 12: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 234http://site.ebrary.com/id/10595617?ppg=234Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 13: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 235http://site.ebrary.com/id/10595617?ppg=235Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 14: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 236http://site.ebrary.com/id/10595617?ppg=236Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 15: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 237http://site.ebrary.com/id/10595617?ppg=237Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 16: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 238http://site.ebrary.com/id/10595617?ppg=238Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 17: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 239http://site.ebrary.com/id/10595617?ppg=239Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 240http://site.ebrary.com/id/10595617?ppg=240Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 241http://site.ebrary.com/id/10595617?ppg=241Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 20: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 242http://site.ebrary.com/id/10595617?ppg=242Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 243http://site.ebrary.com/id/10595617?ppg=243Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 244http://site.ebrary.com/id/10595617?ppg=244Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 245http://site.ebrary.com/id/10595617?ppg=245Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 246http://site.ebrary.com/id/10595617?ppg=246Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 247http://site.ebrary.com/id/10595617?ppg=247Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 248http://site.ebrary.com/id/10595617?ppg=248Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 249http://site.ebrary.com/id/10595617?ppg=249Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 250http://site.ebrary.com/id/10595617?ppg=250Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 251http://site.ebrary.com/id/10595617?ppg=251Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 30: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 252http://site.ebrary.com/id/10595617?ppg=252Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 253http://site.ebrary.com/id/10595617?ppg=253Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 254http://site.ebrary.com/id/10595617?ppg=254Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 255http://site.ebrary.com/id/10595617?ppg=255Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 256http://site.ebrary.com/id/10595617?ppg=256Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 257http://site.ebrary.com/id/10595617?ppg=257Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 258http://site.ebrary.com/id/10595617?ppg=258Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 259http://site.ebrary.com/id/10595617?ppg=259Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 260http://site.ebrary.com/id/10595617?ppg=260Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 261http://site.ebrary.com/id/10595617?ppg=261Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 262http://site.ebrary.com/id/10595617?ppg=262Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 263http://site.ebrary.com/id/10595617?ppg=263Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 264http://site.ebrary.com/id/10595617?ppg=264Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 265http://site.ebrary.com/id/10595617?ppg=265Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 266http://site.ebrary.com/id/10595617?ppg=266Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 267http://site.ebrary.com/id/10595617?ppg=267Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 268http://site.ebrary.com/id/10595617?ppg=268Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 269http://site.ebrary.com/id/10595617?ppg=269Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 270http://site.ebrary.com/id/10595617?ppg=270Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 271http://site.ebrary.com/id/10595617?ppg=271Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 272http://site.ebrary.com/id/10595617?ppg=272Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 274http://site.ebrary.com/id/10595617?ppg=274Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 53: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 275http://site.ebrary.com/id/10595617?ppg=275Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

Page 54: Control Systems Engineering Chapter 5 Stability Analysis and Root Locus Technique

Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 276http://site.ebrary.com/id/10595617?ppg=276Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.

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Sivanagaraju, S.. Control Systems Engineering.: New Academic Science, . p 277http://site.ebrary.com/id/10595617?ppg=277Copyright © New Academic Science. . All rights reserved.May not be reproduced in any form without permission from the publisher,except fair uses permitted under U.S. or applicable copyright law.