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Course

EE-611: Linear system theory

Summary

The course covers control theory and design for linear time-invariant systems : (i) Mathematical descriptions of systems (ii) Multivariables realizations; (iii) Stability ; (iv) Controllability and Observability; (v) Minimal realizations and coprime fractions; (vi) Pole placement and model matching.

Lectures

Instructor

Philippe Müllhaupt

Official source

https://edu.epfl.ch/coursebook/en/linear-system-theory-EE-611

Moodle Page

http://go.epfl.ch/EE-611

About this result

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Summary

Lectures

Instructor

Philippe Müllhaupt

Official source

https://edu.epfl.ch/coursebook/en/linear-system-theory-EE-611

Moodle Page

http://go.epfl.ch/EE-611

About this result

Lectures in this course (12)

System Equivalence

Explores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.

Cyclic Subspace Decomposition

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

MIMO Pole Placement

Covers MIMO polynomial pole placement and state-feedback realization using the Lyapunov equation.

Observer Design

Covers the design of observers in control systems and the computation of state feedback controllers.

Decoupling Zeros: Smith Form

Covers decoupling zeros and the Smith Form algorithm for system poles identification.

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