| 不确定时滞系统的Min-Max预测控制 |
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| 引用本文： | 张军,裴润. 不确定时滞系统的Min-Max预测控制[J]. 哈尔滨商业大学学报(自然科学版), 2004, 20(1): 39-43 |
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| 作者姓名： | 张军 裴润 |
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| 作者单位： | 哈尔滨工业大学,控制科学与工程系,黑龙江,哈尔滨,150001;哈尔滨工业大学,控制科学与工程系,黑龙江,哈尔滨,150001 |
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| 基金项目： | 黑龙江省自然科学基金项目，哈尔滨工业大学自然科学基金(HIT 2000 40). |
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| 摘 要： | 对于状态和输入有约束的离散不确定时滞系统，提出Min—Max预测控制方法，将有限预测时域以后的鲁棒性能指标用终端惩罚近似，而终端惩罚用线性矩阵不等式(LMI)离线求解，因此无限时域的代价转化为有限时域代价，使得Min—Max优化问题求解简单，保留原有的鲁棒稳定性．给出了该方法稳定性的充分条件，通过仿真验证了此方法的有效性．
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| 关 键 词： | 不确定时滞系统 LMI 稳定性 预测控制 |
| 文章编号： | 1672-0946(2004)01-0039-04 |
| 修稿时间： | 2003-12-02 |
Study on Min-Max model predictive control for uncertain time-delay systems |
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| ZHANG Jun,PEI Run. Study on Min-Max model predictive control for uncertain time-delay systems[J]. Journal of Harbin University of Commerce :Natural Sciences Edition, 2004, 20(1): 39-43 |
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| Authors: | ZHANG Jun PEI Run |
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| Abstract: | Proposed an Min-Max model predictive control for discrete uncertain time-delay systems with input and states constraints. The infinite horizon cost is transformed to a finite horizon one by approximating the robust performance criterion after the terminal time with penalty that is obtained by offline involving linear matrix inequality (LMI), which makes the Min-Max optimization problem easy to solve and the robust stability preserved. Presented the sufficient conditions of stability and proof. Simulation results verified the effectiveness of the proposed method. |
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| Keywords: | uncertain time-delay systems linear matrix inequalities stability model predictive control |
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