Reduced-order full information estimation observer-based dissipative control for nonlinear discrete-time switched singular systems with unknown inputs

Hongpeng Shi, Zhenli Zhao and Shuping Ma

Applied Mathematics and Computation, 2025, vol. 493, issue C

Abstract: The dissipative control problem for nonlinear discrete-time switched singular systems (NDSSSs) is investigated via a novel reduced-order observer in this paper. Firstly, based on the generalized Sylvester equations and the introduced nonlinear injection term, a novel reduced-order observer is designed for each subsystem. The designed reduced-order observer can still produce accurate full-information estimation even though the dynamics and the output of the systems both contain unknown inputs. Then, by using average dwell-time scheme and multi-Lyapunov functions, some new sufficient conditions are proposed such that the resulted closed-loop NDSSSs are regular and causal, have a unique solution, and are globally uniformly asymptotically stable with a strict (Q,S,V)-γ-dissipative. A novel relaxation technique is proposed for decoupling nonlinear inequalities involving products of multiple nonsquare unknown variables. The design procedures of reduced-order observer and controller are presented by a specific algorithm. Finally, two numerical examples and an electronic circuit example are provided to illustrate the effectiveness of the theoretical results.

Keywords: Dissipative control; Discrete switched singular systems; Reduced-order observer; Observer-based control; Nonlinear systems (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:493:y:2025:i:c:s0096300324007173

DOI: 10.1016/j.amc.2024.129256

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