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Output-Feedback Control in Nonlinear Singular Systems With Exogenous Disturbance Based on State Decomposition Technique

Fang Gao, Wenbin Chen, Min Wu, Jinhua She

2023IEEE Transactions on Industrial Informatics10 citationsDOI

Abstract

In this article, a state decomposition technique (SDT) is used to address the output-feedback control challenge for nonlinear singular systems with exogenous disturbance. The objective is to design an output-feedback controller to enhance system performance. First, a disturbance estimator is built to estimate and compensate for the adverse impacts of exogenous disturbance on the system. Second, the closed-loop nonlinear singular system is decomposed into an algebraic subsystem and a differential subsystem based on the SDT. Then, a state decomposition Lyapunov function is designed to obtain a new admissible criterion with fewer decision variables. Third, an output-feedback controller is designed using the admissible criterion and depends on the controller gain's decomposition component. Finally, a comparison between a sliding-mode control and the presented approach through a practical application model demonstrates the practicability and efficacy of the presented approach.

Topics & Concepts

Control theory (sociology)Nonlinear systemController (irrigation)Disturbance (geology)Lyapunov functionEstimatorSingular value decompositionControl engineeringControl systemSliding mode controlComputer scienceEngineeringMathematicsControl (management)Artificial intelligencePhysicsAgronomyBiologyPaleontologyElectrical engineeringQuantum mechanicsStatisticsStability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsFault Detection and Control Systems
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