18-771   Linear Systems

Course description

A modern approach to the analysis and engineering applications of linear systems. Modeling and linearization of multi-input multi-output dynamic physical systems. State-variable and transfer function matrices. Emphasis on linear and matrix algebra. Numerical matrix algebra and computational issues in solving systems of linear algebraic equations, singular value decomposition, eigenvalue-eigenvector, and least-squares problems. Analytical and numerical solutions of systems of differential and difference equations. Structural properties of linear dynamic physical systems, including controllability, observability, and stability. Canonical realizations, linear state-variable feedback controller, and asymptotic observer design. Design and computer applications to electronic circuits, control engineering, dynamics, and signal processing.

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Prerequisites

18-370 Fundamentals of Control or 18-474 Embedded Control Systems

Faculty

Shaun Skelton