Trade Off Analysis Between Fixed-Time Stabilization and Energy Consumption of Nonlinear Stochastic Systems

IF 3.2 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS International Journal of Robust and Nonlinear Control Pub Date : 2024-11-19 DOI:10.1002/rnc.7717
Yuchun Wang, Song Zhu, Hu Shao, Li Wang, Shiping Wen
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Abstract

The trade off analysis between the fixed-time stabilization in probability and energy consumption of nonlinear stochastic system is studied in this paper. By constructing a switching controller and using inequality techniques, sufficient conditions for fixed-time stabilization in probability in the Lyapunov sense are given, and the upper bounds of the settling time function and energy consumption are estimated. Then, by analyzing the relationship between control parameters, control time and energy consumption, the existence of trade off between control time and energy consumption is proposed, and the corresponding optimal parameter values are given. Finally, a numerical example is used to verify the validity of the theoretical results.

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非线性随机系统定时稳定与能量消耗的权衡分析
本文研究了非线性随机系统的概率定时稳定与能量消耗之间的权衡分析。通过构造一个切换控制器,利用不等式技术,给出了在Lyapunov意义下概率定时镇定的充分条件,并估计了稳定时间函数和能量消耗的上界。然后,通过分析控制参数、控制时间和能耗之间的关系,提出了控制时间和能耗之间存在权衡关系,并给出了相应的最优参数值。最后,通过数值算例验证了理论结果的有效性。
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来源期刊
International Journal of Robust and Nonlinear Control
International Journal of Robust and Nonlinear Control 工程技术-工程:电子与电气
CiteScore
6.70
自引率
20.50%
发文量
505
审稿时长
2.7 months
期刊介绍: Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.
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