共查询到18条相似文献,搜索用时 125 毫秒
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针对一类Lipschitz非线性切换系统,研究基于观测器的H∞输出跟踪控制问题.借助微分中值定理,将Lipschitz非线性切换系统转化为线性参数切换系统.当状态变量不可测或不易测时,利用多Lyapunov函数方法,同时设计观测器、基于观测器的跟踪控制器和滞后切换信号,使得系统满足H∞输出跟踪性能.最后通过仿真例子表明了设计方法的有效性. 相似文献
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研究一类非线性系统的全状态反馈控制问题、观测器设计问题及输出反馈控制设计问题.首先设计出非线性全状态反馈控制器,获得了系统指数镇定的充分条件.然后提出了非线性观测器,并证明了该观测器是指数稳定观测器.进一步,在控制器和观测器问题的充分条件满足的假设下,证明了提出的带估计状态的反馈控制能达到指数镇定.最后,仿真实例验证了所得结果的有效性. 相似文献
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本文研究离散时间切换线性自治系统的输出反馈镇定问题. 在切换系统可观测的假设下, 设计具有多线性
时变增益的动态观测器, 实现有限时间状态估计. 在此基础上, 设计多路径动态输出反馈切换策略, 实现闭环系统指
数收敛. 相似文献
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利用多Lyapunov函数,对自治型切换中立系统,给出了可用观测器切换镇定的充分条件;给出了分段观测器的参数化表示法,建立了稳定化切换律的构造方案.在此基础上,把多Lvapunov函数方法同单Lyapunov函数方法相结合,将上述结果推广到含有控制的情况,同时给出了观测器切换律和控制器切换律.最后举例说明了所提方法的有效性. 相似文献
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一类非线性切换系统的观测器设计 总被引:2,自引:0,他引:2
研究了一类切换规则为时间依赖型的非线性切换系统的观测器设计问题.分别在切换序列已知与平均驻留时间已知的情况下利用线性矩阵不等式(LMI)给出了非线性项满足Lipschitz条件的切换系统的观测器增益求解方法,并给出了观测器设计步骤.最后给出仿真算例说明了本文方法的有效性. 相似文献
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Exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study. At each switching time instant, the impulsive increments which are nonlinear functions of the states are extended from switched linear systems to switched nonlinear systems. Using the average dwell time method and piecewise Lyapunov function approach, when the total active time of unstable subsystems compared to the total active time of stable subsystems is less than a certain proportion, the exponential stability of the switched system is guaranteed. The switching law is designed which includes the average dwell time of the switched system. Switched systems with uncertainties are also studied. Sufficient conditions of the exponential stability and robust exponential stability are provided for switched nonlinear systems. Finally, simulations show the effectiveness of the result. 相似文献
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Combined stabilizing strategies for switched linear systems 总被引:2,自引:0,他引:2
Zhendong Sun 《Automatic Control, IEEE Transactions on》2006,51(4):666-674
For a class of switched linear systems, we propose a switching strategy that combines time-driven switching with event-driven switching. This switching strategy not only makes the switched systems stable, but also reduces the switching frequency in contrast with the existing switching laws. In addition, the switching law is robust against (time-varying and nonlinear) system perturbations. We prove that, under this switching law, the perturbed systems are bounded for bounded perturbations, convergent for convergent perturbations, and exponentially convergent for exponentially convergent perturbations. For switched linear systems with measured outputs, we also develop an observer-based switching strategy which robustly stabilizes the perturbed systems. 相似文献
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In this paper, the problems of exponential quasi‐(Q,S,R)‐dissipativity and practical stability analysis for a switched nonlinear system are addressed. First, the concept of exponential quasi‐(Q,S,R)‐dissipativity for switched nonlinear systems without requiring the exponential quasi‐(Q,S,R)‐dissipativity property of each subsystem is proposed. Then, we show that an exponentially quasi‐(Q,S,R)‐dissipative switched nonlinear system is practically stable. Second, this exponential quasi‐(Q,S,R)‐ dissipativity property for a switched nonlinear system is obtained by the design of a state‐dependent switching law. Third, a composite state‐dependent switching law is designed to render the feedback interconnection of switched nonlinear systems exponentially quasi‐(Q,S,R)‐dissipative. This switching law allows interconnected switched nonlinear systems to switch asynchronously. Finally, the effectiveness of the results is verified by a numerical example. 相似文献
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Iman Zamani Masoud Shafiee Asier Ibeas 《International journal of systems science》2014,45(5):1128-1144
The issue of exponential stability of a class of continuous-time switched nonlinear singular systems consisting of a family of stable and unstable subsystems with time-varying delay is considered in this paper. Based on the free-weighting matrix approach, the average dwell-time approach and by constructing a Lyapunov-like Krasovskii functional, delay-dependent sufficient conditions are derived and formulated to check the exponential stability of such systems in terms of linear matrix inequalities (LMIs). By checking the corresponding LMI conditions, the average dwell-time and switching signal conditions are obtained. This paper also highlights the relationship between the average dwell-time of the switched nonlinear singular time-delay system, its stability and the exponential convergence rate of differential and algebraic states. A numerical example shows the effectiveness of the proposed method. 相似文献
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Dihua Zhai Yu Kang Ping Zhao Yun-Bo Zhao 《International Journal of Control, Automation and Systems》2012,10(6):1182-1192
The stability of a class of switched stochastic nonlinear retarded systems with asynchronous switching controller is investigated. By constructing a virtual switching signal and using the average dwell time approach incorporated with Razumikhin-type theorem, the sufficient criteria for pth moment exponential stability and global asymptotic stability in probability are given. It is shown that the stability of the asynchronous stochastic systems can be guaranteed provided that the average dwell time is sufficiently large and the mismatched time between the controller and the systems is sufficiently small. This result is then applied to a class of switched stochastic nonlinear delay systems where the controller is designed with both state and switching delays. A numerical example illustrates the effectiveness of the obtained results. 相似文献
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Leitao Huang Yongming Li Shaocheng Tong 《International journal of systems science》2018,49(1):132-146
This paper investigates an adaptive fuzzy output feedback control design problem for switched nonlinear system in non-triangular structure form. The discussed system contains unknown nonlinear dynamics, unmeasured states and unknown time-varying delays under a batch of switching signals. Fuzzy logic systems are utilised to learn unknown nonlinear dynamics and construct a fuzzy switched nonlinear observer. By combining the property of fuzzy basis function with Lyapunov–Krasovskii functional and the command filter, a novel observer-based fuzzy adaptive backstepping schematic design algorithm is presented. Furthermore, the stability of the closed-loop control system is proved via Lyapunov stability theory and average dwell time method. The simulation results are presented to verify the validity of the proposed control scheme. 相似文献
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本文研究了具有无穷时滞切换不确定细胞神经网络(UCNNs)系统任意切换下的指数稳定性.利用同胚映射和M-矩阵理论,得到UCNNs系统平衡点存在性,唯一性和指数稳定性的充分条件;利用Lyapunov泛函方法,研究了时滞切换UCNNs系统任意切换下的鲁棒指数稳定性,并得到确保系统全局指数稳定的充分条件. 相似文献