Dynamic anti-windup design for a class of nonlinear systems
Dynamic anti-windup design for a class of nonlinear systems
复制标题
DOI：
10.1080/00207179.2016.1159731
复制
发表时间：
2016-06
影响因子：
2.1
通讯作者：
J. G. D. Silva;M. Longhi;Maurício Zardo Oliveira
中科院分区：
文献类型：
--
作者：
J. G. D. Silva;M. Longhi;Maurício Zardo Oliveira
摘要研究了一类执行器饱和非线性系统的动态抗饱和设计问题。所考虑的类认为，可以在微分代数表示（DAR），如理性和多项式系统铸造的系统。考虑到一个非线性动态输出反馈控制器，它也可以被写为一个DAR，已被设计来稳定的非线性系统，不考虑饱和效应，基于LMI的条件，提出了计算稳定的动态抗饱和补偿器。考虑两个问题：第一个是关于区域内部稳定性;第二个是关于输入-状态稳定性，假设能量有界扰动作用于系统。因此，导出的条件可以被纳入凸优化问题，允许计算的抗饱和补偿器，以最大限度地保证渐近稳定的区域，最大限度地限制上的容许范数的干扰，甚至最小化的干扰和输出之间的增益上的限制。数值例子说明了所提出的方法。
ABSTRACT This work addresses the dynamic anti-windup design problem for a class of nonlinear systems subject to actuator saturation. The considered class regards the systems that can be cast in a differential algebraic representation (DAR), such as rational and polynomial systems. Considering that a nonlinear dynamic output feedback controller, which can also be written as a DAR, has been designed to stabilise the nonlinear system disregarding the saturation effects, LMI-based conditions are proposed to compute a stabilising dynamic anti-windup compensator. Two problems are considered: the first one regards the regional internal stabilisation; and the second one, assuming that an energy-bounded disturbance acts on the system, concerns the input-to-state stability. The derived conditions can therefore be incorporated in convex optimisation problems that allow to compute the anti-windup compensator in order to maximise the region of guaranteed asymptotic stability, to maximise a bound on the admissible -norm of the disturbance or even to minimise a bound on the -gain between the disturbance and the output. Numerical examples illustrate the proposed methods.