Lecture

Reachability and Controllability of LTI Systems

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In course

ME-422: Multivariable control

This course covers methods for the analysis and control of systems with multiple inputs and outputs, which are ubiquitous in modern technology and industry. Special emphasis will be placed on discrete-time systems due to their relevance to digital and embe ...

Description

This lecture covers the concepts of reachability and controllability of Linear Time-Invariant (LTI) systems. It explains how to test reachability, the properties of unreachable subspaces, and the conditions for a system to be reachable. The lecture also delves into the definitions of reachability, the reachability matrix, and the reachability test. Additionally, it discusses controllability, controllable states, and the relationship between controllability and reachability. The instructor provides examples, proofs, and insights on how to build the reachability matrix and determine controllability. The lecture concludes by exploring whether controllability and reachability coincide and the implications of reversible LTI systems.

Instructor

Giancarlo Ferrari Trecate

Expertise Automatic control, Dependable control, Neural-network Control, Machine learning, Microgrids, Hybrid systems Mission See the webpage of the DECODE (Dependable Control and Decision) group. Teaching & PhD PhD Students Laura Meroi, Julien Pallage, Nicolas Léo Pierre Kirsch, Simone Baratto, Daniele Martinelli, Riccardo Cescon, Jakob Nylöf, Sabri El Amrani Past EPFL PhD Students Pulkit Nahata, Mustafa Sahin Turan, Baiwei Guo, Jean-Sébastien Brouillon, Clara Galimberti, Andrea Martin, Muhammad Zakwan,

Official source

Ontological neighbourhood

Information engineering

Control theory and engineering: Control theory

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