A Sequential Linear Programming Matrix Method to Insensitive Hâˆ‍ Output Feedback for Linear Discrete Time Systems

Abstract

This paper studies the problem of designing insensitive Hâˆ‍ outputfeedback controllers for linear discretetime systems. The designed controllers are insensitive to additive/multiplicative controller coefficient variations. An LMIbased procedure, which is a sequential linear programming matrix method (SLPMM), is proposed to solve the considered problem which is a nonconvex problem itself. It is worth mentioning that the nonfragile control design method is adopted to obtain an effective solution for accelerating convergence of SLPMM algorithm due to the fact that a good starting point for the iteration is very important.