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Analysis and Synthesis for Time-Delay Systems with Actuator Saturation

Author: Gu
Tutor: WangMao
School: Harbin Institute of Technology
Course: Control Science and Engineering
Keywords: Delay systems Actuator saturation Domain of attraction Improved free - weighting matrix Delays split
CLC: TP13
Type: Master's thesis
Year: 2011
Downloads: 25
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Abstract

As we all know, time delay phenomenon exists in many practical systems, such as transmission systems, communication systems, power systems, etc.. Delay phenomenon often poor dynamic characteristics of the system, or even cause system oscillation, divergence, instability. The actuator saturation phenomenon is also a common problem in the control system. The saturation system stability issues of broad interest in recent years how to expand the estimate of the domain of attraction has been the focus of research scholars. In many practical control system, the time delay phenomenon actuator saturation phenomenon will occur at the same time, which makes the control system more complex control more difficult. Notwithstanding some literature research system exist at the same time on the two phenomena, the results of the current study, however, there are still large conservative. In this paper, the results have been based on in-depth analysis and to study the stability of delay systems with actuator saturation phenomenon, the state feedback controller design H_ ∞ state feedback controller design. First, it summarizes the main results of the stability analysis of delay systems with actuator saturation phenomenon, and point out the inadequacies of the existing research, that most of the research results can only be applied to the constant delays; Although some research The results can handle varying delay within some range, but the results are still conservative. On this basis, we study the stability and stabilization problem of the continuous delay systems with actuator saturation phenomenon, has been a series of results including stability conditions for state feedback controller design method, and estimates the domain of attraction conditions. The stability criteria given in the form of linear matrix inequalities and through MATLAB toolbox for solving. In this paper, the right to freedom of matrix method and delay divided ideological processing system delay entry, and the additional feedback matrix processing system saturation. Stability criteria can be applied not only to the constant delays in the continuous system with actuator saturation phenomenon, but also applied in the the varying delay continuous system with actuator saturation. Numerical examples show that this stability criterion is compared with other methods used in the literature with smaller conservative. Second, the study of the conditions of stability of the discrete time delay systems with actuator saturation phenomenon, the state feedback controller design method and its domain of attraction estimated conditions. The improved free-weighting matrix method and the combination of convex hull combined use of the idea of ??\This stability criterion can deal with the constant delays in the system with Variable Delay. Numerical simulation shows the feasibility of the proposed method. Third, the continuous delay systems with actuator saturation phenomenon H_ ∞ control problem. The first closed-loop system is given in the presence of interference, the state trajectory in the oval-vivo conditions; thus H_ ∞ state feedback controller design method. The numerical examples to verify the effectiveness of the theoretical results.

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