Stability Analysis And Controller Design For Some Classes Of Uncertainty Nonlinear Systems | Posted on:2009-06-27 | Degree:Master | Type:Thesis | Country:China | Candidate:Z H Huang | Full Text:PDF | GTID:2178360242485852 | Subject:Applied Mathematics | Abstract/Summary: | PDF Full Text Request | The stability analysis and controller design for uncertainty nonlinear systems are very important areas in nonlinear control theory.This thesis has investigated respectively that the problems of stability analysis for a class of uncertain system with time-delay,the asymptotic stability of a class of singularly perturbed systems with multiple time delays and the problem of robust stability of singularly perturbed systems with nonlinear uncertainties.The main research results are given as follows:Firstly,the problem of reliable controller design by robust output feedback is investigated for a class of uncertain system with time-delay.The system under consideration involves state time delay and parameter uncertainties.A reliable controller is designed such that the closed-loop system remains asymptotically stable for all admissible uncertainties independently of the time-delay,not only when the system is operating properly,but also when there exist a simultaneous presence of actuator and sensor failures.Secondly,the asymptotic stability of a class of singularly perturbed systems with multiple time delays is investigated.The feedback controls for the slow subsystem and the fast subsystem have been separately designed by frequency-domain stability criteria.Furthermore,a stabilizing composite feedback control has been proposed to guarantee the asymptotic stability of the singularly perturbed systems with multiple time delays.A stability boundε~* of singular perturbation parameterεhas been derived such that the original system under the composite feedback control is asymptotically stable for allε∈(0,ε~*).Finally,the problem of robust stability of singularly perturbed systems with nonlinear uncertainties is concerned.Via introducing state transformation and constructing the Lyapunov function,a stability boundε~* is derived and a sufficient condition which guarantees the singularly perturbed systems asymptotically stable is presented.An example is illustrated to show how to apply the proposed results. | Keywords/Search Tags: | Nonlinear system, uncertainty, time-delay systems, singularly perturbed systems, robust stability, Global stabilization, Lyapunov function | PDF Full Text Request | Related items |
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