| 一类多状态时滞不确定系统的鲁棒预测控制 |
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| 引用本文： | 陆妹,邵惠鹤.一类多状态时滞不确定系统的鲁棒预测控制[J].系统仿真学报,2007,19(11):2547-2549,2615. |
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| 作者姓名： | 陆妹 邵惠鹤 |
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| 作者单位： | 上海交通大学自动化系,上海,200240 |
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| 摘 要： | 针对一类多状态时滞多面体不确定对象,提出了一种鲁棒预测控制算法。基于参数相关的李亚普诺夫函数,给出了系统稳定的充分条件。通过求解满足若干线性矩阵不等式条件的上界值的最优化问题,获得了约束范围内满足系统鲁棒性能的最优控制律。优化问题的可行性保证了算法的鲁棒稳定性。仿真实例证明了该算法的有效性。
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| 关 键 词： | 预测控制 鲁棒控制 多时滞 李亚普诺夫函数 线性矩阵不等式 |
| 文章编号： | 1004-731X（2007）11-2547-03 |
| 收稿时间： | 2006-04-25 |
| 修稿时间： | 2006-04-252006-07-06 |
Robust Predictive Control for Uncertain Systems with Multiple State Delays |
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| LU Mei,SHAO Hui-he.Robust Predictive Control for Uncertain Systems with Multiple State Delays[J].Journal of System Simulation,2007,19(11):2547-2549,2615. |
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| Authors: | LU Mei SHAO Hui-he |
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| Institution: | Institute of Automation, Shanghai Jiaotong University, Shanghai 200240, P R China |
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| Abstract: | A robust predictive control algorithm for polytopic uncertain systems with multiple state delays was proposed. Based on a parameter dependent Lyapunov function, sufficient conditions for the robust stability of the system were given. By solving an upper bound optimization problem with several linear matrix inequality (LMI) conditions, the optimal control laws which are within constraints and satisfy some robust performance objective could be obtained. The feasibility of the above optimization problem guarantees the robust stability of the system. And the simulation results verify the effectiveness of the proposed algorithm. |
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| Keywords: | predictive control robust control multiple delays Lyapunov function LMI |
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