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

Expertise Nonlinear Control (Geometry and Algebra)Classical DynamicsRoboticsStatistics Mission Provide rigorous technical and scientific training in nonlinear control, classical mechanics, and statistical theory Current Work Research and teaching in the fields of control theory, statistics, dynamical systems, and general mechanics. Philippe Mullhaupt received his Diplôme d Education Ingï¿½nieur | Electricitï¿½ 1993 – 1993 EPFL DEA | Automatique et Traitement du Signal 199

Official source

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

Moodle Page

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

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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)

Stability and State Feedback

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

SISO Polynomial Controllers: Sylvester Matrix, Internal Model Principle

Covers the design of SISO polynomial controllers using concepts such as the Sylvester matrix and model matching.

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.

System Equivalence

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

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