Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems

A bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generate...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2015-01, Vol.2015 (2015), p.104-119-010
Main Authors: Wu, Bei, Chen, Xiaoming, Chen, Mou
Format: Article
Language:English
Subjects:
Closed loop systems
Colleges & universities
Controllers
Design
Digital signal processors
Discrete-time systems
Disturbance observers
Disturbances
Dynamical systems
Estimates
Estimators
Inequalities (Mathematics)
Mathematical research
Nonlinear dynamics
Nonlinear theories
State vectors
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Summary:A bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generated by an exogenous system; a disturbance observer is designed to estimate the unknown disturbance. The parameters of the state estimator and the disturbance observer are calculated by solving linear matrix inequalities (LMIs). By applying the outputs of the state estimator and the disturbance observer, the sufficient condition for the existence of the bounded controller is derived based on an appropriate Lyapunov function candidate. Under the developed bounded controller, the stability of the closed-loop system can be guaranteed. Simulation examples are provided to show the effectiveness of the proposed bounded control scheme.
ISSN:1026-0226
1607-887X
DOI:10.1155/2015/135248