Parametric control systems design with applications in missile control

This paper considers parametric control of high-order descriptor linear systems via proportional plus derivative state feedback. By employing general parametric solutions to a type of so-called high-order Sylvester matrix equations, complete parametric control approaches for high-order linear systems are presented. The proposed approaches give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices, and produce all the design degrees of freedom. Furthermore, important special cases are particular treated, and an application of the proposed parametric design approaches to two missile control problems are also investigated. The simulation results show that the method is superior to the traditional one in sense of either global stability or system performance.