An improved output feedback controller design for linear discrete-time systems using a matrix decomposition method

Abstract

This paper presents the design of output feedback controllers for discrete-time (DT) linear systems. New sufficient LMI conditions are derived for designing static (Formula presented.) and (Formula presented.) controllers using decomposition of an auxiliary matrix. The decomposition facilitates linearization of nonlinear term of reduced size to obtain linear matrix inequality criteria. This leads to less conservative results as shown in the numerical examples. In addition, the proposed static output feedback criteria is also used for designing dynamic output feedback controllers for DT systems. Furthermore, a comparative study is also made for the proposed design method with the results existing in the literature. Finally, a DT static output feedback (Formula presented.) controller is designed for a quarter-car suspension system. Simulation results are provided to show the efficacy of the proposed design method. © 2022 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd.