On the terminal region of model predictive control for non‐linear systems with input/state constraints
On the terminal region of model predictive control for non‐linear systems with input/state constraints
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DOI：
10.1002/acs.731
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发表时间：
2003-04
影响因子：
3.1
通讯作者：
Wen‐Hua Chen;J. O'Reilly;D. Ballance
中科院分区：
文献类型：
--
作者：
Wen‐Hua Chen;J. O'Reilly;D. Ballance
本文研究了具有控制输入和状态约束的非线性系统的基于模型的预测控制（MPC）的终端区域。基于非线性MPC的稳定性条件，提出了一种确定性能指标中终端加权项的方法和终端稳定控制律，以扩大非线性MPC的终端区域，从而扩大其吸引域.提出了一种基于LMI的优化方法来选择终端加权项和虚拟终端稳定控制律，以扩大非线性MPC方法的终端区域。所提出的方法是由一个数值例子说明，并与现有的结果相比。版权所有© 2003年约翰威利父子有限公司。
This paper addresses the terminal region of model‐based predictive control (MPC) for non‐linear systems with control input and state constraints. Based on a stability condition of non‐linear MPC, a method to determine the terminal weighting term in the performance index and the terminal stabilizing control law to enlarge the terminal region and thus the domain of attraction of the non‐linear MPC is proposed. An LMI based optimization approach is developed to choose the terminal weighting item and fictitious terminal stabilizing control law so as to enlarge the terminal region of the non‐linear MPC method. The proposed method is illustrated by a numerical example and compares favourably with existing results. Copyright © 2003 John Wiley & Sons, Ltd.