| 时滞LPV离散系统的稳定新准则及控制器设计 |
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| 引用本文： | 王俊玲,王常虹,袁伟.时滞LPV离散系统的稳定新准则及控制器设计[J].电机与控制学报,2004,8(1):44-47. |
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| 作者姓名： | 王俊玲 王常虹 袁伟 |
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| 作者单位： | 1. 哈尔滨工业大学,控制科学与工程系,黑龙江,哈尔滨,150001
2. 黑龙江省教育厅,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金(69874008) |
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| 摘 要： | 针对一类具有状态时滞的线性参数变化离散时间系统，提出了一种新的依赖于参数的Lyapunov稳定条件。该准则通过引入一个附加矩阵解除了系统矩阵与依赖于参数的Lyapunov函数之间的耦合而更易于控制系统的分析与综合。在此基础上设计了此类系统的状态反馈控制器，并将控制器存在的充分条件转化为参数线性矩阵不等式的解存在条件。数值仿真验证了所提出算法的可行性。
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| 关 键 词： | 时滞LPV离散系统 稳定准则 控制器 设计 Lyapunov函数 数值仿真 |
| 文章编号： | 1007-449X(2004)01-0044-04 |
| 修稿时间： | 2003年6月2日 |
Advanced stability criteria and control for time-delayed LPV discrete-time systems |
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| WANG Jun-ling,WANG Chang-hong,YUAN Wei.Advanced stability criteria and control for time-delayed LPV discrete-time systems[J].Electric Machines and Control,2004,8(1):44-47. |
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| Authors: | WANG Jun-ling WANG Chang-hong YUAN Wei |
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| Affiliation: | WANG Jun-ling,WANG Chang-hong,YUAN Wei Department of Control Science and Engineering,Harbin Institute of Technology,Harbin 150001,China Education Department of Heilongjiang Province,Harbin 150001,China |
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| Abstract: | New parameter-dependent Lyapunov conditions are proposed for the stability of LPV discrete-
systems with a state delay. These criteria, which enables us to obtain more easily tractable conditions
for the analysis and synthesis of control systems, are achieved by the introduction of a slack variable,
which eliminates the coupling between Lyapunov functions and system matrices. Upon the new condi-
tions, the corresponding state feedback controllers are designed. Sufficient conditions for the existence
of such controllers are established in terms of parameterized linear matrix inequalities. Moreover, a
numerical example is provided to demonstrate the feasibility of the proposed conditions and controllers
design procedure. |
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| Keywords: | linear parameter-varying system parameterized linear matrix inequality state delay |
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