Design of robust tracking observer for perturbed descriptor linear systems

The design of robust tracking observer for a class of perturbed descriptor control systems is investigated in this paper. Based on the parametric solutions to a generalized Sylvester matrix equation, the robust index and the matrices of tracking observer are parameterized and the problem of designing robust tracking observer is changed into a minimization problem. A simple and effective algorithm for the design of robust tracking observer is proposed. An illustrative example and its simulation results show the simplicity and effectiveness of the proposed algorithm.