Lecture

Controllability and Observability

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In course

EE-611: Linear system theory

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 fracti ...

Description

This lecture covers the concepts of controllability and observability in linear systems. It starts by defining controllability as the ability to transfer the system from any initial state to any final state in finite time with an appropriate input. The lecture then discusses the necessary and sufficient conditions for controllability, including the controllability matrix and the controllability Gramian. It also explores the implications of unimodular matrices on the solution space and the importance of the controllability and observability matrices in system analysis.

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

Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Information engineering

Control theory and engineering: Control theory

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