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Control Systems Analysis

by: Mrs. Lacy Schneider

Control Systems Analysis ECEN 4138

Mrs. Lacy Schneider

GPA 3.9


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This 2 page Class Notes was uploaded by Mrs. Lacy Schneider on Thursday October 29, 2015. The Class Notes belongs to ECEN 4138 at University of Colorado at Boulder taught by Staff in Fall. Since its upload, it has received 31 views. For similar materials see /class/231808/ecen-4138-university-of-colorado-at-boulder in ELECTRICAL AND COMPUTER ENGINEERING at University of Colorado at Boulder.



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Date Created: 10/29/15
F Hansen ECEN41385038 December 7 2008 Final Review topics First the final will be comprehensive The topics listed here are in addition to those on the Midterm review list Second I intend to take one problem almost directly from the midterm It won t be exactly the same so you can t simply memorize the midterm solutions But if go over the midterm and understand the solutions then one of the final problems will be a slam dunk 7 Frequency response design a b c d D f g Bode magnitude and phase plots Determining stability from a Bode plot Gain and phase margins Definition of the sensitivity and complementary sensitivity functions Frequency domain constraints i Bode Integral fox lnISIda 0 open stable systems ii 5 T 1 Nyquist plots Nyquist stability criterion 2 State Space design a U DO Relations the state space and transfer function representations ie how do you get from one to the other Canonical forms control observer modal Controllability and observability i Definitions of the controllability and observability matrixes ii An understanding of what uncontrollable and unobservable really mean Similarity transforms State feedback and estimator design methods i Equate coef ii Transform to canonical form and back F Hansen ECEN41385038 December 7 2008 iii Ackerman s formula f Duality i Controlobserver canonical forms and the controllability and observability matrixes are duals I expect you to know how they are duals ii The control and estimator design problems are mathematically equivalent g Combined estimator controller system i Block diagram ii Poles of the final closed loop iii Compensator transfer function for a estimator based controller


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