Finite-time decentralized H∞ control for singular large-scale systems⁎This work was supported by the National Natural Science Youth Foundation of China under grant 61903166, 61803186, 11901061. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Li, Bo; Zhao, Junjie; Wo, Songlin; Ren, Xuejing
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 4297
• Page End: 4303
• Publication Date: 2020
• Subjects: Finite-time bounded -- Singular large-scale systems -- LMIs -- Time-varying exogenous disturbances -- Finite-time H∞ control; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.2485
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper, the definition of finite-time robust H ∞ control for linear continuous-time singular large-scale systems is presented. The main aim of this paper is to design a decentralized state feedback controller which ensures that the closed-loop system is finite-time bounded (FTB), and the effect of the disturbance input on the controller output, meanwhile, is reduced to a prescribed level. A sufficient condition is presented for the solvability of this problem, which can be reduced to a feasibility problem involving linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, examples are given to show the validity of the methodology.