| 不确定时滞系统鲁棒镇定的优化方法 |
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| 引用本文： | 刘忠良,付艳明,王子华.不确定时滞系统鲁棒镇定的优化方法[J].控制工程,2005(Z2). |
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| 作者姓名： | 刘忠良 付艳明 王子华 |
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| 作者单位： | 哈尔滨工业大学控制理论与制导技术研究中心 黑龙江哈尔滨150001
(刘忠良，付艳明)，哈尔滨工业大学控制理论与制导技术研究中心 黑龙江哈尔滨150001(王子华) |
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| 摘 要： | 对一类含有时滞不确定的线性系统,考虑了鲁棒镇定问题。系统中的不确定性假设满足范数有界备件,通过用改进的Razmikhin-type定理,给出了鲁棒镇定控制器存在的充分条件。通过对Lyapunov矩阵方程的完全参数化求解,得到了鲁棒镇定控制器的参数化形式,鲁棒镇定问题转化为一类优化问题。基于这一条件与参数化特征结构配置结果,得到了状态反馈镇定控制器的设计算法。数值例子说明了该方法的有效性。
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| 关 键 词： | 鲁棒镇定 时滞系统 特征结构配置 Razumikhin-type定理 优化 |
Optimization Approach to Robust Stabilization of Linear Systems with Time-delay Uncertainties |
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| LIU Zhong-liang,FU Yan-ming,WANG Zi-hua Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin ,China.Optimization Approach to Robust Stabilization of Linear Systems with Time-delay Uncertainties[J].Control Engineering of China,2005(Z2). |
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| Authors: | LIU Zhong-liang FU Yan-ming WANG Zi-hua Center for Control Theory and Guidance Technology Harbin Institute of Technology Harbin China |
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| Affiliation: | LIU Zhong-liang,FU Yan-ming,WANG Zi-hua Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China |
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| Abstract: | The robust stabilization for a class of linear systems subject to delayed and time-varying nonlinear uncertainties is presented. The structure of the uncertainties is assumed to satisfy a boundedness condition. By using an improved Razumikhin-type theorem, a sufficient condition for the existence of controllers is proposed. Based on this condition and a parametric eigenstructure assignment result, an algorithm for robust state feedback controller synthesis is presented. A numerical example demonstrates the effect of the proposed design approach. |
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| Keywords: | robust stabilization time-delay systems eigenstructure assignment Razumikhin-type theorem optimization |
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