LPV analysis and control using fast iterative solutions to rationally parametric Lyapunov and Riccati equations

摘要

We consider the problem of analysis and control of Linear Parameter Varying(LPV) systems. With regard to such problems, solving rationally parametric Lyapunov and Riccati equations for parametric matrices often arises. In this paper, we develop computationally efficient iterative methods for finding rational approximations to solutions to such problems to arbitrary accuracy.