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| 一类饱和非线性系统抗饱和控制器设计 | |
| 引用本文： | 王乃洲 裴海龙 汤勇. 一类饱和非线性系统抗饱和控制器设计[J]. 控制与决策, 2015, 30(12): 2225-2232 |
| 作者姓名： | 王乃洲 裴海龙 汤勇 |
| 作者单位： | 华南理工大学a. 自主系统与网络控制教育部重点实验室，b. 机械与汽车工程学院，广州510640. |
| 基金项目： | 国家973计划项目(2014CB845301/2/3)；国家自然科学基金项目(61174053). |
| 摘 要： | 针对一类饱和非线性系统研究抗饱和控制器综合问题. 基于线性分式表示技术(LFR), 该类非线性系统可转化为带有满足扇形区间不等式条件的非线性函数及额外线性分式约束的饱和线性系统. 基于二次Lyapunov 方程并利用广义扇形区间不等式条件处理饱和非线性项, 提出了基于LMI 条件的非线性抗饱和控制器综合方法. 数值仿真验证了所提出方法的有效性. |
| 关 键 词： | 抗饱和控制|非线性系统|吸引域|线性矩阵不等式 |
| 收稿时间： | 2014-07-24 |
| 修稿时间： | 2014-10-24 |
Anti-windup controller design for a class of nonlinear systems subject to actuator saturation |
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| WANG Nai-zhou PEI Hai-long TANG Yong. Anti-windup controller design for a class of nonlinear systems subject to actuator saturation[J]. Control and Decision, 2015, 30(12): 2225-2232 | |
| Authors: | WANG Nai-zhou PEI Hai-long TANG Yong |
| Abstract: | The anti-windup controller synthesis problems are studied for a certain class of nonlinear systems subject to actuator saturation. Based on the linear-fractional representation(LFR) techniques, the original system is transformed into a linear system incorporating a sector-bounded nonlinearity and a saturation nonlinearity with an additional linear-fractional constraint. Based on a quadratic Lyapunov function and with a modified sector condition describing the saturation nonlinearity, LMI-based conditions for the synthesis of a nonlinear anti-windup controller are presented. A numerical example illustrates the effectiveness of the proposed approaches. |
| Keywords: | anti-windup control|nonlinear systems|region of attraction|linear matrix inequalitie |
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