Prescribed Finite-Time H∞ Control for Nonlinear Descriptor Systems
Prescribed Finite-Time H∞ Control for Nonlinear Descriptor Systems
复制标题
非线性描述系统的规定有限时间H∞控制
DOI：
10.1109/tcsii.2021.3060550
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Haitao Li
中科院分区：
文献类型：
--
作者：
Xiao;Haitao Li
本文分别研究了非线性广义系统在执行器饱和和不饱和情况下的有限时间H_{\infty }$问题。当解决这个问题的NDS受致动器饱和，它指出，现有的饱和非线性的处理是不那么有效。这是因为有些方法不能保证闭环系统是脉冲可控的，而有些方法不能保证闭环系统达到规定的有限时间稳定。为了克服这个问题，提出了一个可用的和有趣的治疗。这种处理的主要特点是饱和非线性被分解成一个线性形式的控制信号和它的常数约束。在此基础上，采用状态反馈方案对所考虑的问题进行了求解，得到了一些充分条件。为了说明所提出的结果的有效性，一个电路系统的例子。
In this brief, the prescribed finite-time $H_{\infty }$ problems of nonlinear descriptor systems (NDSs) with and without actuator saturation are respectively investigated. When addressing this problem of NDSs subject to actuator saturation, it is pointed out that the existing treatments for the saturation nonlinearities are not so effective. The reason is that some of them cannot ensure that the resulting closed-loop systems are impulse controllable, and others cannot make sure that the closed-loop system can achieve prescribed finite-time stable. To overcome this issue, an available and interesting treatment is proposed. The main characteristic of this treatment is that the saturation nonlinearity is decomposed into a linear form consisting of the control signal and its constant constraints. Based on this treatment, the state feedback scheme is adopted for the considered problem, and some sufficient conditions are obtained. To illustrate the efficiency of the proposed results, an example about circuit systems is provided.