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A Study on Robust Control for Uncertain Time-delay Systems

Author: ChenZhenYi
Tutor: ZuoJian；SuHongYe
School: Zhejiang University
Course: Control Theory and Control Engineering
Keywords: Delay Uncertainty Continuous Robust Stabilization Robust H_ ∞ control Guaranteed Cost Control Reliable control State feedback Output Feedback Delay-dependent Delay-independent
CLC: TP13
Type: Master's thesis
Year: 2002
Downloads: 360
Quote: 4
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Abstract


In practical engineering applications, people have been hoping to get the accurate mathematical model of the controlled object, but in the model reduction approximation, the linear approximation of the non-linear characteristics, as well as difficult to model the dynamic characteristics of the object is ignored, the resulting The object model with the actual characteristics of the object there is always a gap. In a sense, this gap can often be seen as a kind of uncertainty of the system model. Usually these uncertainties is not impossible to measure, usually given some of these uncertainties size constraint, the robust control theory it is used to deal with the system model with uncertainty effective method. On the other hand, in the actual industrial production, large inertia, the transmission process and the complexity of the online analyzer, etc. will inevitably lead to the generation of hysteresis, the hysteresis characteristics often will seriously affect the stability of the control system and system performance indicators delay systems research has also been one of the hot control theory. In this paper, based on Lyapunov stability theory, Razumikhin stability theorem and the theory of convex sets, and the use of linear matrix inequalities, matrix analysis and convex programming tools to study uncertain time-delay systems with state-space model described robust control problem . For norm-bounded uncertain parameters or the convex polyhedron uncertain parameters uncertain time-delay system, using state feedback controller output feedback controller to study the robust stability analysis, robust stabilization controller design and Lu rod performance controller design constraints, the corresponding delay-independent or delay-dependent results. The main contents include 1, for a class at the same time there are state and control delays for Uncertain Systems state feedback robust stabilization. A system robust quadratic stabilization necessary and sufficient condition, as well as a sufficient condition for system Delay-dependent Robust calm and the corresponding state feedback robust stabilization controller design method, results are given in linear matrix inequalities form . And simulation results. For a class of uncertain time-delay systems, the output feedback robust H_ ∞ control problem, review of existing with uncertainties Delay Output Feedback Robust Stabilization result of its robust quadratic stabilization controller design method and its output feedback robust H_ ∞. The controller design method over Zhejiang University, a master's degree thesis. 3, for the time-delay systems with norm bounded uncertainties, research output feedback guaranteed cost control problems, the delay-independent output feedback guaranteed cost controller design method. Delay systems for a class of convex polyhedron in the form of uncertain parameter model to study the problem of guaranteed cost control for the corresponding controller design method. The results of linear matrix inequalities. For a class of uncertain time-delay systems with state and control delays reliable hall control problem, a state feedback robust reliable H. Controller design method. 6, for a class of time-delay systems with nonlinear uncertain disturbances, CLF function of its robust stability, has been the delay systems robust stability, nonlinear uncertainty required to meet upper bound. Numerical example and gives the results of the analysis. Finally, there is the full text summary and outlook.

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