Abstract
In this paper, the guaranteed cost static 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 computation algorithm that is based on Newton's method for solving the CALRE is provided. The local quadratic convergence of the algorithm is proved. A numerical example is solved to show a reduction of the average CPU time compared with the existing result. Moreover, the existing static output feedback control problem for nominal SPS is also considered.
