An improved output feedback controller design for linear discrete‐time systems using a matrix decomposition method. Issue 2 (18th July 2022)

• Record Type: Journal Article
• Authors: Goyal, Jitendra Kumar; Aggarwal, Shubham; Sachan, Ankit; Sahoo, Pradosh Ranjan; Ghosh, Sandip; Kamal, Shyam
• Is Part Of: Asian journal of control. Volume 25:Issue 2(2023)
• Page Start: 769
• Page End: 782
• Publication Date: 2022-07-18
• Subjects: discrete‐time system -- dynamic output feedback control -- H2$$ {H}_2 $$– H∞$$ {H}_{\infty } $$ controller -- linear matrix inequalities -- static output feedback control; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2913
• Languages: English
• ISSNs: 1561-8625

Abstract

Summary: This paper presents the design of output feedback controllers for discrete‐time (DT) linear systems. New sufficient LMI conditions are derived for designing static H 2 $$ {H}_2 $$ and H ∞ $$ {H}_{\infty } $$ 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 H ∞ $$ {H}_{\infty } $$ controller is designed for a quarter‐car suspension system. Simulation results are provided to show the efficacy of the proposed design method.