hw12 - MEEN 651 Control System Design Homework 12 LQR LQG...

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MEEN 651 Control System Design Homework 12: LQR, LQG, and LTR Assigned: Tuesday, 18 Nov. 2008 Due: Tuesday, 25 Nov. 2008, 5:00 pm Textbook Problems Do the following problem from “ Feedback Control of Dynamic Systems ” 5 th ed., Franklin and Powell. Problem 1) Problem 7.57 Exam Problems from 2007 (actual and potential exam problems) Problem 2) Consider the diagrams provided below, where G 1 (s) and G 2 (s) are stable, completely controllable, and completely observable. For each configuration, determine if the composite system is always: a) Stable b) Completely Controllable c) Stabilizeable Please provide a proof or counter-example to justify your answer. Parallel Connection Series Connection Feedback Connection
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Design Problems Problems 3) – 5) are concerned with the linearized and normalized dynamics of the magnetically suspended ball, described by: ݔሶ ሺݐሻൌݔ ሺݐሻ ሺݐሻ ൅ ݑሺݐሻ Problem 3) Assume a quadratic performance index of: ܬൌන ሾݔ ൅2ݔ ݔ ൅ݔ ൅ݑ
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hw12 - MEEN 651 Control System Design Homework 12 LQR LQG...

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