Fundamental course on feedback control systems. Basic principles, modeling, optimization and design to meet specifications. Topics to be treated include:
 

• System modeling and analysis: system design as a control problem - constraints, goals and performance specifications, input-output and state space models; linearization; review of linear algebra; fundamentals of state-space analysis of linear systems
• System structural properties: stability; introduction to Lyapunov methods; controllability, observability; canonical forms and minimal realizations. Modeling uncertainties; system sensitivity and robustness measures.
• Feedback system design: basic properties of feedback; stabilization and eigenvalue placement by state and output feedback; disturbance rejection; observers for estimating states, and observer feedback systems
• Optimum feedback control: dynamic programming and the Hamilton-Jacobi-Bellman equation; synthesis of optimum state regulator systems; numerical methods
• Introduction to the minimum principle: calculus of variations and necessary conditions for optimal trajectories; minimum principle for bounded controls; time-optimal control of linear systems; numerical methods

Panos J. Antsaklis and Anthony N. Michel, Linear Systems, McGraw Hill, 1997.

Tamer Basar, Sean Meyn, and William R. Perkins, Lecture Notes on Control System Theory and Design, 1997.

William L. Brogan, Modern Control Theory, 3rd edition, Prentice Hall, 1991 (Recommended).

ECE 386 or equivalent, or consent of instructor.
 

ECE 417, ECE 453, ECE 454, ECE 455, ECE/ME 468, CHE 469ST, ECE 476 (recommended), and GE/ECE 489

1 unit.

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