引用本文:赵敏,李少远.约束非线性系统切换鲁棒预测控制[J].控制理论与应用,2010,27(4):495~500.[点击复制]
ZHAO Min,LI Shao-yuan.Switching robust model-predictive-control strategy for constrained nonlinear system[J].Control Theory and Technology,2010,27(4):495~500.[点击复制]
约束非线性系统切换鲁棒预测控制
Switching robust model-predictive-control strategy for constrained nonlinear system
摘要点击 1752  全文点击 1279  投稿时间:2008-10-05  修订日期:2009-05-28
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DOI编号  
  2010,27(4):495-500
中文关键词  约束非线性系统  鲁棒预测控制  多LPV蕴含  参数Lyapunov函数  切换策略
英文关键词  constrained nonlinear systems  robust predictive control  multi-LPV embedding  parameter dependent Lyapunov function  switching strategy
基金项目  国家自然科学基金资助项目(60825302,60774015); 国家“863”计划资助(2007AA041403); 上海市优秀学科带头人计划资助项目.
作者单位E-mail
赵敏 上海交通大学 自动化系
上海理工大学 控制科学与工程系 
 
李少远* 上海交通大学 电子信息与电气工程学院 自动化系 syli@sjtu.edu.cn 
中文摘要
      采用“分段蕴含”(PWE)方法, 用一组线性变参数模型(LPV)近似约束非线性系统, 降低模型近似的保守性. 对每个LPV模型引入参数Lyapunov函数, 得到稳定的控制律, 并施加于非线性系统. 当检测到LPV模型发生切换时, 根据可行域的离线设计方法确定适当的切换律, 使系统按照设定的规则切换, 保证切换后的初始状态可行. 在文章最后给出了基于切换策略的控制算法的可行性和稳定性. 与传统非线性预测控制相比, 基于切换策略的鲁棒预测 控制方法保守性更低, 计算量更小.
英文摘要
      By adopting the piece-wise embedding scheme, we use a set of linear parameter-varying(LPV) models to approximate a nonlinear system subject to input and state constraints. For each embedding model, a parameter-dependent Lyapunov function is used to obtain the stable control law for the nonlinear system. When the LPV model is switched from one to the other, the switching law, which is obtained by using an off-line design approach, is used to guarantee the feasibility of the initial state at the switching point. In the last part of this paper, we prove the feasibility and stability of this switching control algorithm. The switching robust model-predictive-control strategy is less conservative than the traditional nonlinear predictive control and will greatly reduce the online computational burden.