Design of resilient H∞ filter for discrete-time piecewise-affine singular systems

Abstract:

This paper investigates the robust admissibility analysis and resilient filter controller synthesis for a class of discrete-time piecewise affine singular systems with asymptotic stability which possesses H∞ performance is considered in this paper, in order to eliminate the adverse effects of external disturbances and measurement noise of control system performance. By using the piecewise-affine singular Lyapunov functions combined with Projection lemma and some basic lemmas, an approach of designing robust H∞ feedback controller is given, the conclusions ensure resilient filtering error dynamic system possessing H∞ performance. It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by scalar variables. The feedback controller gain and resilient filter system matrix can ensure the stability of systems and guarantee the H∞ performance of the piecewise-affine singular systems. Finally, the practicability of the proposed methodologies is confirmed via some simulation examples.