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Robust Sliding Mode Control Method Research Of Uncertain Nonlinear Systems

Posted on:2014-08-16Degree:DoctorType:Dissertation
Country:ChinaCandidate:Y LiFull Text:PDF
GTID:1268330422966737Subject:Control Science and Engineering
Abstract/Summary:PDF Full Text Request
Man-made systems with advanced functionalities in practical industrial processesusually exhibit nonlinearities, time-varying, unpredictable parameters and othercomplexities from design limitation, operation conditions, integrated inherent dynamics,even internal and external disturbances. In addition, delay is also common phenomenonencountered in the actual industrial production process, which makes the control systemdesign even challenging. Therefore, the robust sliding mode control method for uncertainnonlinear systems with time delay has attracted greater attention. In the thesis, theproblems of robust sliding mode control method for uncertain nonlinear systems withtime delay are studied by using linear matrix inequality, adaptiveļ¼Œbackstepping andneural network, robust control and finite time control methods. A brief introduction of themajor research contents and achievement is outlined below.Firstly, it studies unified chaotic systems with uncertain parameters, and the robustfeedback synchronization controller is designed based on finite time control method andLyapunov stability theory, in order to achieve finite time synchronization between themaster and slave systems. Secondly, it studies chaotic systems with unknown parametersand uncertainties, the integral sliding mode surface proposed based on finite time controlmethod, the unknown parameters estimated by adaptive technique, the adaptive slidingmode synchronization controller is designed based on Lyapunov stability theory, in orderto achieve finite time synchronization between the master and slave systems.Firstly, it studies nonlinear neutral systems with uncertain parameters and externaldisturbance, the new robust stability criterion is provided in the form of linear matrixinequality based on Lyapunov stability theory, the system uncertainties are disposed bymatrix inequality technique. Secondly, it studies nonlinear neutral systems with uncertainparameters and external disturbance, the new robust stability criterion is provided in theform of linear matrix inequality based on Lyapunov stability theory, the systemsuncertainties were disposed by matrix inequality technique, the new sliding mode surfacewithout time delay term is designed, the robust sliding mode controller designed based on Lyapunov stability theory, in order to achieve uniformly asymptotic stability of theclosed-loop systems.Firstly, it studies cellular neural networks with uncertain parameters andtime-varying delays, the robust stability criterion is provided in the form of linear matrixinequality based on Lyapunov stability theory. Secondly, it studies non-affine nonlinearsystems, the nonlinear systems identified by neural network technique, the weightingcoefficients of neural network are adjusted by adaptive technique, the adaptive neuralnetwork sliding mode controller is designed based on Lyapunov stability theory, in orderto achieved uniformly ultimately boundedness of the closed-loop systems. Thirdly, itstudies non-affine nonlinear systems with time delays, the nonlinear systems identifiedby neural network technique, the weighting coefficients of neural network are adjusted byadaptive technique, the adaptive neural network sliding mode controller is designedbased on Lyapunov stability theory, so that the system trajectories can track the set pointvalues.Firstly, it studies discrete nonlinear systems with matching perturbations, the slidingfunction proposed, the nonlinear sliding mode controller is designed based on Lyapunovstability theory, the controller parameters obtained by matrix technique, the controllerinput obtained by Newton-Raphson Algorithm, in order to achieve uniformly asymptoticstability of the closed-loop system meanwhile eliminating the chattering effect,. Secondly,it studies discrete nonlinear switched systems with uncertain parameters and time-varyingdelays, the new robust stability criterion is provided in the form of linear matrixinequality based on Lyapunov stability theory, the systems uncertainties were disposedby matrix inequality technique, the new sliding mode surface without time delay term isdesigned, the robust sliding mode controller designed based on Lyapunov stability theory,the controller input obtained by Newton-Raphson Algorithm in order to achieveuniformly asymptotic stability of the closed-loop system.
Keywords/Search Tags:Uncertainties, Lyapunov stability theory, Linear matrix inequality, Adaptiveneural network technique, Robust sliding mode control
PDF Full Text Request
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