Guaranteed Cost Control of Uncertain Singularly Perturbed Systems via Static Output Feedback

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.