A Hybrid Control Approach to $H_{\infty }$ Problem of Nonlinear Descriptor Systems With Actuator Saturation
A Hybrid Control Approach to $H_{\infty }$ Problem of Nonlinear Descriptor Systems With Actuator Saturation
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DOI：
10.1109/tac.2020.3046559
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发表时间：
2020-12
影响因子：
6.8
通讯作者：
Xiao-Yun Lu;Haitao Li
中科院分区：
文献类型：
--
作者：
Xiao-Yun Lu;Haitao Li
研究了非线性广义系统的H_{\infty }$问题。对于规则或非广义系统，这个问题可以通过事件触发控制律来解决。但这种控制律对同样的广义系统可能是无效的。其原因是事件触发控制器的不连续性会导致广义系统的代数部分在每个触发时刻突然失效。从数学的角度来看，代数方程在每个触发时刻都没有解。为了解决这个问题，一种新的混合控制方案。该控制方案的主要特点是由事件触发控制器和脉冲控制器组成。结果表明，脉冲控制器在调节系统状态以满足代数方程方面起着极其重要的作用。基于这种混合控制方案，提出了一些改进的结果相比，现有的。最后，通过一个电路系统的算例说明了所得结果的有效性.
In this article, the $H_{\infty }$ problem of nonlinear descriptor systems (NDSs) is investigated. For regular or nondescriptor systems, this problem can be solved via the event-triggered control law. But this control law may be ineffective for the same problem of descriptor systems. The reason is that the discontinuity of the event-triggered controller will cause sudden failure of the algegbraic part of descriptor systems at each triggering instant. From the perspective of mathematics, the algebraic equation will have no solution at each triggering instant. To address this problem, a novel hybrid control scheme is introduced. The main characteristic of this control scheme is that it consists of an event-triggered controller and an impulsive controller. It is shown that the impulsive controller plays an extremely important role in adjusting system states to satisfy the algebraic equation. Based on this hybrid control scheme, some improved results are proposed compared with the existing ones. Finally, an example about circuit systems is given to illustrate the effectiveness of the results.