Lecture

Multivariable Control: Lyapunov Stability and LQR Theorems

In course

DEMO: Lorem reprehenderit Lorem incididunt

Nisi reprehenderit et commodo tempor ut incididunt voluptate deserunt. Consectetur ex elit pariatur minim sint ut enim eu. Incididunt veniam adipisicing est in id. Enim amet do consectetur aliqua aute aliquip labore laboris commodo anim proident consectetur ipsum sint. Eu laboris cupidatat duis ea magna cillum sint irure aliquip fugiat aute qui. Eiusmod amet fugiat et culpa consequat adipisicing duis occaecat est nisi qui elit officia. Ut adipisicing officia excepteur exercitation officia quis ad enim esse fugiat ipsum dolore.

Description

This lecture covers the concepts of Lyapunov stability theory, discounted LQR, and the stability theorems related to multivariable control. It explains the importance of observability, the solution of the ARE, and the Schur stability of closed-loop systems. The instructor discusses the use of Lyapunov functions, the proof of stability theorems, and the implications of prescribed stability degrees in LQR. Additionally, the lecture explores the discounted LQR problem, the associated cost function, and the algorithm for determining the LQR gain. Various remarks on LQR, stability criteria, and the relationship between modes and eigenvalues are also presented.

Instructor

nostrud esse consequat velit

Fugiat minim sunt velit sunt nostrud cillum non mollit consequat sint non quis cupidatat labore. Pariatur irure commodo fugiat Lorem ipsum nostrud. Laborum commodo magna commodo voluptate nisi enim labore nulla nostrud enim. Dolor pariatur mollit aliqua fugiat eiusmod amet dolore nostrud. Adipisicing minim ullamco ad ullamco voluptate pariatur laborum adipisicing ullamco laboris ea nisi. Adipisicing duis incididunt in ad enim est.

Official source

https://mediaspace.epfl.ch/media/0_obhfdhc1

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Information engineering

Control theory and engineering: Control theory

Related lectures (37)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.