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作 者:葛超 叶水清 王红 姚征 GE Chao;YE Shuiqing;WANG Hong;YAO Zheng(College of Electrical Engineering,North China University of Science and Technology,Tangshan Hebei 063210,China;Beijing StarCentury Technology(Tangshan)Company Limited,Tangshan Hebei 063210,China)
机构地区:[1]华北理工大学电气工程学院,河北唐山063210 [2]北京星纪开元科技(唐山)有限公司,河北唐山063210
出 处:《计算机应用》2025年第4期1349-1355,共7页journal of Computer Applications
基 金:河北省自然科学基金资助项目(F2021209006)。
摘 要:针对在记忆型饱和控制器的作用下,研究非线性时滞系统的指数稳定性问题。首先,考虑系统参数不稳定的因素;其次,利用包含分布式时滞项辅助反馈的多面体方法处理饱和非线性;同时,建立增广Lyapunov-Krasovskii泛函,并利用改进的积分不等式放缩积分项,从而导出基于线性矩阵不等式(LMI)的稳定性准则;此外,制定保守性较低的吸引域优化方案,以提高吸引域的上界;最后,通过一个仿真实例证明所提方案的有效性和实用性。实验结果表明,在非线性系统中,在相同的参数条件下,与无记忆型控制器的现有的吸引域优化方案相比,所提有记忆型控制器的吸引域优化方案具有较低的保守性。Exponential stability of nonlinear systems with time delay under the action of memory-based saturation controller was studied.Firstly,the factors of system parameter uncertainty were considered.Secondly,the polytopic method with distributed time-delay term auxiliary feedback was used to deal with the saturated nonlinearity.At the same time,an augmented Lyapunov-Krasovskii functional was established,and the integral terms were scaled by the improved integral inequality,thus the stability criteria based on Linear Matrix Inequalities(LMI)were derived.In addition,an attraction domain optimization scheme with less conservativeness was developed to increase the upper bound of the attraction domain.Finally,a simulation example was given to prove the effectiveness and practicability of the proposed scheme.Experimental results show that compared with the existing attraction domain optimization scheme without memory-based controller,the proposed attraction domain optimization scheme with memory-based controller is less conservative.
关 键 词:非线性时滞系统 输入饱和 增广泛函 记忆型饱和控制器 吸引域
分 类 号:TP273[自动化与计算机技术—检测技术与自动化装置]
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