A Constrained Tracking Control Algorithm for Linear Systems Based on a Spline-type Parameter-dependent Lyapunov Function
A Constrained Tracking Control Algorithm for Linear Systems Based on a Spline-type Parameter-dependent Lyapunov Function
复制标题
基于样条型参数依赖Lyapunov函数的线性系统约束跟踪控制算法
DOI：
10.1002/rnc.3183
复制
发表时间：
2014
影响因子：
3.9
通讯作者：
M. Saeki and I. Masubuchi
中科院分区：
文献类型：
--
作者：
N. Wada;M. Saeki and I. Masubuchi
本文提出了一种具有执行器饱和的离散时间线性系统的跟踪控制律设计方法。根据状态变量和参考信号的信息，在线主动改变控制律的反馈增益，从而提高控制性能。控制律的设计考虑了跟踪误差的收敛速度。控制律的设计条件被推导为多项式参数依赖矩阵不等式，并使用样条型参数依赖李雅普诺夫函数和凸多面体将设计条件降为有限个LMI。三个数值例子说明了该方法的有效性。版权所有© 2014约翰威利父子有限公司.
In this paper, we propose a design method of a tracking control law for discrete‐time linear systems with actuator saturation. The feedback gain of the control law is actively changed online so that the control performance is improved based on the information of the state variable and the reference signal. The control law is designed with considering the rate of convergence of the tracking error. The design condition of the control law is derived as polynomially parameter‐dependent matrix inequalities, and a spline‐type parameter‐dependent Lyapunov function and a convex polytope are used to reduce the design condition to a finite number of LMIs. Three numerical examples are provided to illustrate effectiveness of the method. Copyright © 2014 John Wiley & Sons, Ltd.