Title :
Guaranteed Cost Control of Uncertain Singularly Perturbed Systems via Static Output Feedback
Author :
Mukaidani, Hiroaki ; Oya, Hidetoshi ; Xu, Hua ; Yamamoto, Toru
Author_Institution :
Graduate School of Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-Hiroshima, 739-8524 Japan. mukaida@hiroshima-u.ac.jp
Abstract :
In this paper, the guaranteed cost output feedback control problem for singularly perturbed systems (SPS) with uncertainties is investigated. In order to solve this problem, we must solve a set of cross-coupled algebraic Lyapunov equations and algebraic Riccati equations (CALRE). In this paper, a new algorithm to solve the CALRE is provided which is based on Newton’s method. The quadratic local convergence of the algorithm is proved. A numerical example is solved to show a 18.4% reduction of the average CPU time compared with the existing result.
Keywords :
Control systems; Convergence; Costs; Design methodology; Output feedback; Riccati equations; Robust control; Robust stability; State feedback; Uncertainty;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583050
