Title :
H∞ control synthesis via reduced order LMIs
Author :
Yu, Jie ; Sideris, Athanasios
Author_Institution :
Dept. of Mech. & Aerosp. Eng., California Univ., Irvine, CA, USA
Abstract :
In H∞ control synthesis for systems with weighting functions, linear matrix inequality (LMI)-based approaches face heavy computation and possibly numerical ill-conditioning. In this paper, a new formulation is presented to find a full order controller via reduced order LMIs and fewer decision variables, by exploiting the potential pole-zero cancellation in the closed loop. As a result, both numerical conditioning and numerical efficiency are improved. An interesting application of the results to servomechanism problems is also given
Keywords :
H∞ control; closed loop systems; control system synthesis; feedback; linear systems; matrix algebra; poles and zeros; servomechanisms; H∞ control; closed loop systems; full order controller; linear matrix inequality; linear time invariant systems; order reduction; pole-zero cancellation; reduced order LMI; servomechanism; Aerospace engineering; Centralized control; Closed loop systems; Control system synthesis; Controllability; Lyapunov method; Null space; Observability; Radio control; Riccati equations;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650612
