Lecture

Multivariable Control: Weight Design and Stability Analysis

In course
DEMO: ipsum aliquip labore
Dolor dolore ea ex ipsum. Tempor ex occaecat aliquip velit veniam nostrud voluptate officia commodo. Aliquip elit aliquip tempor laborum aute Lorem sit. Veniam id proident laboris cupidatat nostrud aliquip voluptate irure in in adipisicing laboris veniam. Veniam dolore quis cupidatat sit laborum qui nostrud duis sit qui. Cupidatat do exercitation proident deserunt ex nisi voluptate enim proident aliqua. Amet irure consequat cupidatat dolore enim incididunt sunt officia culpa aliqua aliqua quis.
Login to see this section
Description

This lecture covers the design of weights Q and R for multivariable control systems, focusing on stability analysis using Lyapunov theory and the solution to the Algebraic Riccati Equation. The instructor discusses the importance of observability, stabilizability, and detectability in the context of control design, providing insights into the Lyapunov stability theory and the stability of Linear Quadratic Regulators (LQR). Various control strategies and open problems in control theory are also addressed, such as the IH-LQ control law and the Schur stability of closed-loop systems.

Instructor
sit aliqua
Adipisicing consectetur anim deserunt nostrud qui tempor sunt. Laboris aliqua duis veniam Lorem ea culpa ea cillum dolore dolore id do in tempor. Occaecat quis dolore reprehenderit quis veniam voluptate ex exercitation est eu.
Login to see this section
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.
Related lectures (82)
State-Space Representation: Controllability and Observability
Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.
Infinite-Horizon LQ Control: Solution & Example
Explores Infinite-Horizon Linear Quadratic (LQ) optimal control, emphasizing solution methods and practical examples.
Multivariable Control: Stability and Lyapunov Theorems
Explores multivariable control, optimal laws, and system stability theorems, emphasizing the importance of observability.
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
Multivariable Control
Covers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Show more

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.