Title :
Sufficient LMI conditions for the design of static and reduced order controllers
Author :
Trofino, Alexandre
Author_Institution :
Dept. of Autom. & Syst., Univ. Fed. de Santa Catarina, Florianopolis, Brazil
Abstract :
In this paper we address the problem of designing static and reduced order dynamic controllers for linear continuous-time invariant systems. A new LMI controller parametrization is proposed allowing for the design of stable and strictly proper controllers. In the static output feedback case the Lyapunov function matrices do not appear in the controller parametrization. The results are illustrated through several examples.
Keywords :
Lyapunov methods; continuous time systems; feedback; linear matrix inequalities; linear systems; reduced order systems; LMI conditions; Lyapunov function; continuous-time invariant systems; control stability; linear matrix inequalities; linear systems; reduced order controller; static controller; static output feedback; Automatic control; Automation; Control systems; Eigenvalues and eigenfunctions; Lyapunov method; Output feedback; Performance analysis; Stability; State feedback; Symmetric matrices;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400640
