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Stability Analysis Of A Class Of Uncertain Neutral Delay Systems With Nonlinear Perturbation And Calm

Posted on:2010-08-20Degree:MasterType:Thesis
Country:ChinaCandidate:J M SunFull Text:PDF
GTID:2208360275955210Subject:Operational Research and Cybernetics
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Time delays are frequently encountered in various engineering systems such as aircraft, long transmission lines in pneumatic systems,and chemical or process control systems.It has been shown that the existence of time delays is often one of the main causes of instability and poor performance of a control system.Therefore,the study of stability analysis and control synthesis for time-delay systems of neutral type has attracted a great deal of attention over the past years.This thesis addresses the question of stability analysis and stabilization of a class neutral type time-delay systems defined by differential equations which contain nonlinear perturbation and norm-bound parametric uncertainty.The results are formulated in LMIs(Linear Matrix Inequations).In Chapters 2,in particular,we analyze the stability of a class time-delay systems with nonlinear perturbation and norm-bound parametric uncertainty.By constructing a new Lyapunov-Krasovskii functional together with using a new bounding technique of crossing terms,We propose a delay-dependent stability criteria of the systems in term of LMIs(Linear Matrix Inequations).Numerical examples illustrate that the criteria are less conservative than existing results.In Chapter 3,we analyze the stability of a class neutral time-delay systems with nonlinear perturbation and norm-bound parametric uncertainty.We propose delay-dependent robust stability criteria of the systems in term of LMIs(Linear Matrix Inequations) through the use of descriptor model transformation and S-procedure Lemma.Numerical examples illustrate that the criteria are efficient and less conservative than existing results.In Chapters 4,we consider the question of stabilization of the systems in Chapter 3. Based on the results of Chapter 3,we propose a method of designing memoryless state feedback controller u=Kx(t),which makes the systems stabilized.Numerical examples illustrate that the method is feasible and efficient.
Keywords/Search Tags:neutral systems, descriptor model transformation, robust stabilization, time-varying delays, delay-dependent asymptotic stability, integral inequality, linear matrix inequality, free-weighting-matrix
PDF Full Text Request
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