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Study on InputToState Stability and Dynamic Output Feedback Control for Impulsive Systems
Author: TangYouJian
Tutor: ChenWuHua
School: Guangxi University
Course: Operational Research and Cybernetics
Keywords: Uncertain impulsive systems The uncertain impulsive nerve network Input to state stability (ISS) H_ ∞ control H_ ∞ filter Linear matrix inequalities (LMIs)
CLC: TP13
Type: Master's thesis
Year: 2008
Downloads: 66
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Abstract
Impulsive differential system better reflects the instantaneous mutation system status, control system, the ecological system, economic system has been widely used in aerospace technology. Pulse system can be viewed as hybrid systems consisting of continuous subsystems and discrete subsystems, and its stability analysis and controller design has been an important topic in control theory research. From the stability analysis and pulse of the the existing pulse system research focuses on the no outside input conditions. Stable under the action of the state feedback controller design, but in practical applications, the pulse control systems are often subject to outside interference, and its status can not be directly derived from the measurement, it is necessary to study the existence of the external input pulse control system ISS, dynamic output feedback. This paper studies exist outside interference input pulse neural network input to state stability, the the pulse system's dynamic output feedback controller design problem and H _{ ∞ } filter design problem. Its main work is as follows: 1. Use the linear matrix inequalities skills, of uncertain continuous and discrete two types of pulse neural network input to state stability (ISS) problem, given the nature of the impulsive neural networks in different sectors under the conditions ISS a sufficient condition. A numerical example illustrates the validity of our results. Uncertain linear pulse system presents a dynamic output feedback H _{ ∞ } control design methodology. Consider the two types of pulse forms: a class of impulsive disturbance type, a class of pulse is stable type. Each type of pulse system, robust stability and has a finite L _{ 2 } on the basis of gain, based on linear matrix inequalities, given the robust dynamic output feedback H _{ ∞ sufficient condition for the existence of controller. Numerical examples and graphical simulation illustrates the validity of our results. On the the uncertain linear pulse system has the general form of the proposed asymptotically stable linear H ∞ filter design methods. Consider three pulse system: when the external input is zero, the continuous subsystem stable / discrete subsystems unstable, continuous subsystems unstable / discrete subsystems stable, continuous subsystems stable / discrete subsystems stable. Pulse of each type of system, based on linear matrix inequalities, given the continuous input signal to a continuous error signal from the discrete input signal to a discrete error signal has limited L 2 l 2 gain sufficient condition. A numerical example illustrates the validity of our results.
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