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| 区间时滞相关离散非线性系统的鲁棒模型预测控制 | |
| 引用本文： | 赵杰梅,胡忠辉,张利军.区间时滞相关离散非线性系统的鲁棒模型预测控制[J].控制与决策,2015,30(1):59-64. |
| 作者姓名： | 赵杰梅 胡忠辉 张利军 |
| 作者单位： | 1. 武汉轻工大学数学与计算机学院，武汉430023； 2. 中船重工第709研究所，武汉430074； 3. 西北工业大学航海学院，西安710072. |
| 基金项目： | 国家自然科学基金项目(61174047);西北工业大学基础研究基金项目(JC201230);武汉轻工大学引进(培养)人才科研启动项目(2014RZ04) |
| 摘 要： | 针对一类带有扰动、输入约束和凸多面体不确定性的区间时滞离散非线性系统, 提出一种鲁棒模型预测控制方法. 一方面, 利用min-max 模型预测控制求解鲁棒模型预测控制器, 以研究鲁棒预测控制在范数有界意义下的扰动抑制问题; 另一方面, 充分利用时滞的上下界信息构造Lyapunov 函数以得到控制器存在的充分条件. 最后给出了闭环系统鲁棒稳定性证明. |
| 关 键 词： | 离散非线性系统 预测控制 区间时滞相关 线性矩阵不等式 |
| 收稿时间： | 2013-09-21 |
| 修稿时间： | 2014/1/20 0:00:00 |
Robust model predictive control for discrete-time nonlinear systems with delay-range-dependent |
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| ZHAO Jie-mei HU Zhong-hui ZHANG Li-jun.Robust model predictive control for discrete-time nonlinear systems with delay-range-dependent[J].Control and Decision,2015,30(1):59-64. | |
| Authors: | ZHAO Jie-mei HU Zhong-hui ZHANG Li-jun |
| Affiliation: | 1. School of Mathematic and Computer Science，Wuhan Polytechnic University，Wuhan 430023，China； 2. 709th Research Institute of China Shipbuilding Industry Corporation，Wuhan 430074，China； 3. School of Marine, Northwestern Polytechnical University，Xi’an 710072，China． |
| Abstract: | A robust model predictive control method is proposed for a class of discrete-time nonlinear systems with interval time-delay, perturbation, input constraint and polytopic-type uncertainties. Based on the min-max model predictive control method, the robust model predictive controller is obtain. Then the disturbance rejection of the robust model predictive control in the sense of normbounded is studied. Besides, the informations of the upper and lower bounds of delay are applied to construct the Lyapunov function for obtaining the existence of the controller. Finally, the asymptotic stability of close-looped system is proved. |
| Keywords: | discrete-time nonlinear systems predictive control delay-range-dependent linear matrix inequality |
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