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H_∞ Control for Sampled-data Systems Based on Dynamic Compensation

Author: ZhangZhenYan
Tutor: ZhangGuoShan
School: Tianjin University
Course: Control Theory and Control Engineering
Keywords: Sampling system Dynamic compensation To enhance law Jump method H_ ∞ control Linear matrix inequalities Uncertainty
CLC: TP13
Type: Master's thesis
Year: 2009
Downloads: 22
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Abstract


Sampling control exists widely in all kinds of physical systems , such as radar tracking system , time-sharing systems, and industrial process control system . The disturbance input tends to seriously affect the performance of the system , and even lead to system instability . On the other hand , in the the engineering conditions under actual control system is affected by factors such as environment, equipment error , so our analysis , impossible to accurately match between integrated mathematical model , there will be a certain degree of uncertainty . The traditional methods for the analysis of the sampling system resulting in loss of signal between sampling time in recent years, more attention to enhance law and jumping law by the majority of scholars . In this paper, based on the the dynamic compensation sampling system H ∞ control problem , the main contents are as follows : 1 using the lifting method to study a class of the disturbance input sampling system H ∞ dynamic output feedback control problem . Discrete-time systems based on H ∞ equivalent sampling system upgrade , the sampling system H ∞ dynamic compensator necessary and sufficient conditions are given in the form of linear matrix inequalities , a fairly complete controller solution program . Numerical example is given to the feasibility and effectiveness of the method . 2 jumping studied a class the disturbance input sampling system on H ∞ dynamic output feedback control problem . Based on the sampling system into a class of transition systems , time-varying systems theory applied directly to the transition system , and then given in the form of linear matrix inequalities sufficient conditions for existence of H ∞ controller and parameter expressions . Given the definition and nature of the H ∞ guaranteed cost sampling system and H ∞ guaranteed cost controller exists sufficient condition and controller parameter expression . Study a class of uncertain sampling system robust H ∞ control problem , and to enhance the intrinsic link of the law and jumping method were analyzed. Sampling system robust control problem is converted into an auxiliary system H ∞ control , H ∞ controller design method can be used to solve the problem of robust controller design . Sampling system model for this study were given to enhance the inference method and jump method , and finally pointed out that the analysis of the two methods to get the same form of H ∞ controller .

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