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Robust H2/H∞ control for a class of time-varying nonlinear stochastic systems with state- and control-dependent noises
International Journal of Systems Science ( IF 4.9 ) Pub Date : 2020-04-23 , DOI: 10.1080/00207721.2020.1755742
Ming Gao 1 , Zhengmao Zhu 2 , Yichun Niu 1
Affiliation  

ABSTRACT This paper deals with the problem of robust control for a class of discrete time-varying nonlinear stochastic systems with state- and control-dependent noises (also called -dependent noises). In the addressed system, all system parameters are allowed to be time-varying, parameter uncertainties are supposed to be norm-bounded, and nonlinearities are assumed to satisfy the sector-bounded condition. A robust stochastic bounded real lemma is established for the uncontrolled system by means of the Riccati difference equation (RDE). Moreover, a necessary and sufficient condition is presented for the existence of finite-horizon robust control by virtue of the solvability of coupled RDEs, and an iterative algorithm is designed to solve these RDEs. Finally, a numerical example is utilised to illustrate the effectiveness of the derived results.

中文翻译:

一类具有状态和控制相关噪声的时变非线性随机系统的鲁棒 H2/H∞ 控制

摘要 本文讨论了一类具有状态和控制相关噪声(也称为依赖噪声)的离散时变非线性随机系统的鲁棒控制问题。在寻址系统中,所有系统参数都允许随时间变化,参数不确定性应该是范数有界的,并且假设非线性满足扇区有界条件。通过Riccati差分方程(RDE)为非受控系统建立了一个鲁棒的随机有界实引理。此外,利用耦合RDE的可解性,给出了有限范围鲁棒控制存在的充要条件,并设计了迭代算法来求解这些RDE。最后,通过一个数值例子来说明推导结果的有效性。
更新日期:2020-04-23
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