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Study of H_∞ Robust Control for a Class of Time Delay Uncertain Systems

Author: LiGangSheng
Tutor: QuBaiDa
School: Jiangnan University
Course: Control Theory and Control Engineering
Keywords: Uncertain Systems Delay H_ ∞ Fuzzy Non-fragile Linear matrix inequalities
CLC: TP13
Type: Master's thesis
Year: 2006
Downloads: 258
Quote: 2
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Abstract


Research and analysis process control system , the mathematical model used completely true picture of an actual controlled object is almost impossible . We study the mathematical model are actually controlled object an approximate description of this approximation aspects of the usual sources : Reducing the Order of the high-end systems , linearization of nonlinear systems , measurement error , all kinds of interference signal and so on. The these approximations sources generally classified as uncertainties that uncertainty . On the other hand , in many practical industrial systems , such as in the rolling process , pipeline transmission , signal transmission network in presence of the hysteresis phenomenon , the presence of these delay characteristics will lead to lower the dynamic response performance of the instability of the system or systems , can not meet the requirements of system operation . The delay uncertainty analysis has important theoretical and practical engineering significance , is currently one of the hot control theory . Robust control theory study of these problems in many of the conclusions , but there are still many problems to be studied . The basis of previous work , based on Lyapunov stability theory , the use of linear matrix inequalities and analysis tools to study the complexity of discrete time uncertain systems by the fuzzy model , and a class of systems with multiple delays Robust H_ ∞ control , the main contents are as follows: (1 ) for a class of complex discrete - time uncertain systems by analyzing its fuzzy modeling to study at the same time satisfy the linear quadratic optimal performance index and H_ ∞ norm indicators hybrid control problems . Based on Lyapunov stability theory, linear matrix inequality approach , given the stability of the closed-loop system to meet the quadratic performance index and H_ ∞ norm indicators and compliance with the appropriate performance requirements of the controller design method . (2) for a class of uncertain systems described by the state space research in the case of the presence of controller gain perturbation H_ ∞ robust control problem . Consider perturbations of controller gain plus perturbation and multiplicative perturbation both cases . Based on the Lyapunov stability theory, the use of a linear matrix inequalities approach , given the stability of the system , as well as in the perturbations of controller gain under robust controller and H_ ∞ robust controller design method .

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