Linear System Theory and Control

Catalog description

Advanced problems and techniques in the design of automatic control systems with emphasis on stability, controller design, and optimum performance. M E 555 Linear System Theory and Control (3) This course examines problems and techniques in the analysis and design of linear systems. The course assumes a fundamental background in dynamic system modeling and frequency-domain SISO control input analysis and design. Topics include: vectors and vector spaces; Eigenvalues and Eigenvectors; the Cayley-Hamilton theorem; Jordan canonical forms; internal and BIBO stability; Lyapunov stability analysis; observability and controllability; similarity transformations, state-space realization, and observer/controller canonical forms; pole placement; elementary observer and state-feedback controller design; the separation principle; Kalman filtering; and linear quadratic regulation.