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Robust Stability of Time-delay Lurie Control System with Uncertainty

Author: ZhangJingLing
Tutor: BaoJunDong
School: Inner Mongolia Normal
Course: Operational Research and Cybernetics
Keywords: Lurie control system Delay-dependent Linear matrix inequalities Robust H_ ∞ control H_ ∞ filter
CLC: TP13
Type: Master's thesis
Year: 2011
Downloads: 34
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Abstract


Lurie control system is a very important non-linear system, its special point of the study is to meet certain conditions of the nonlinear terms of their own limited fan-shaped area, so this nonlinear system into a linear system . So that the stability of Lurie control systems have been greatly simplified. Lurie control system has a very important in many practical engineering applications such as aircraft control, aerospace control, hydraulic servo control, etc., must be involved in the control of the system. Lurie control system has profound practical significance. This article is mainly for Lurie control systems with state feedback and output feedback control. Specific work as follows: (1) study the direct control of Lurie systems with continuously distributed delays as well as indirect absolute stability control system. (2) study uncertain Lurie control system Delay-dependent Robust Stabilization and guaranteed cost control problem. Obtained by constructing a suitable Lyapunov-Krasovskii functional and the use of matrix inequalities system by memoryless state feedback Stabilization dependent sufficient conditions discussed in this system guaranteed cost. And to obtain a specific controller design method. (3) by constructing suitable Lyapunov functional, and using the integral inequality and the introduction of the right to freedom of matrix studied varying delay Lurie control system is absolutely stable and sufficient condition for the existence of non-fragile guaranteed cost H ∞ controller by line Matrix Inequality feasible solution structure controller gain perturbation plus French and multiplicative perturbation non-fragile controller. (4) Research output feedback controller Lurie system with parameter uncertainty. Delay boundaries and fan-shaped area allowed by the appropriate structure Lyaunov function and LMI method, resulting in a closed-loop system is asymptotically stable and satisfies H. . The condition of the performance index. And feasible solution of linear matrix inequalities controller parameters (5) non-fragile H Lurie control systems with time delay. Filtering problem. By constructing suitable Lyapunov functional and using linear matrix inequalities method to get non-fragile H Lurie Control Systems. . Sufficient condition for existence of the filter. And the design of the full-order filter has a multiplicative gain variations.

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CLC: > Industrial Technology > Automation technology,computer technology > Automated basic theory > Automatic control theory
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