共查询到18条相似文献,搜索用时 78 毫秒
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传统的控制系统稳定需要满足Lyapunov二次型稳定、指数或渐近稳定等强条件,而切换控制及凸组合只需系统具有收敛子空间等弱条件,并能解决不稳定子系统的切换收敛问题。分析了扰动切换系统的收敛性,设计了状态反馈切换、修正阈值切换及状态延时3类切换控制率及其对应切换算法。借助状态观测器对可观测切换系统进行了状态估计和误差分析。利用Matlab实例仿真程序仿真并寻找优化参数,实现了上述3类切换算法。通过比对切换实验数据,演示了不同切换率稳定和收敛状况。 相似文献
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研究一类结构参数不确定性的切换系统的可靠控制问题.这种可靠系统可以抵御执行器出现故障给系统带来的影响.利用凸组合技术,设计可靠控制器和相应的切换策略,使得不仅当执行器正常时而且当一些执行器出现故障时仍保证闭环系统是全局渐近稳定的,最后通过仿真算例验证所设计方法的可行性、有效性. 相似文献
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线性切换系统经周期切换渐近稳定性研究 总被引:3,自引:0,他引:3
研究一类含有两个子系统的线性切换系统经周期切换渐近稳定问题.首先给出了特殊周期切换,即等时切换下线性切换系统渐近稳定的充要条件;然后将所得结论进行了推广,使之适合于一般的周期切换情形,并结合自适应思想提出了实现系统周期切换的方法,使之能应用于工程实际.特别指出,一个系统可经切换达到二次稳定的充要条件是该系统可经周期切换渐近稳定.对于一类线性切换系统,采用周期切换可使切换信号的设计变得相对简单.仿真结果表明了所提出的方法简洁而有效. 相似文献
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研究了子系统中系统矩阵为对角标准型或者Jordan标准型的切换线性系统的稳定性.用状态方程的解来分析系统能量函数(状态向量的2范数)的单调性,得到系统在任意切换序列下渐近稳定的充分条件.另外,根据这些条件可以比较容易地设计出渐近稳定的切换序列.最后通过一个数值例子来说明所得到结论的效果. 相似文献
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本文针对一类在任意切换信号作用下的切换非线性系统, 研究了其输出反馈周期事件触发控制问题. 所考
虑的非线性系统采用非严格反馈形式且含有未知时变控制系数. 在本文中, 仅利用采样时刻的系统输出. 为了估计
系统的不可量测的状态, 基于采样的系统输出构造了降维状态观测器. 为了减少通信资源的利用, 提出了一种新的
输出反馈周期事件触发策略, 该策略包含仅利用事件触发时刻的信息构造的输出反馈事件触发控制器以及仅在采
样时刻间歇性监测的离散事件触发机制. 通过选取可容许的采样周期及合适的公共Lyapunov函数, 证明了闭环系统
在任意切换下全局渐近稳定. 最后, 通过将本文中所给出的控制方案应用到数值算例中验证了其有效性. 相似文献
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李飞 《自动化与仪器仪表》2012,(6):9-11
以模糊T-S模型对离散切换组合系统的研究模型进行重新构建,分别利用单Lyapunov函数方法设计出分散切换律和控制器,给出了利用矩阵不等式表达的系统在分散切换律和分散控制器作用下的可镇定条件,仿真结果表明了该方法的有效性。 相似文献
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研究一类基于神经网络的离散切换时滞非线性系统的稳定性和H∞控制问题。利用线性矩阵不等式方法得到了该类系统稳定性条件。在此基础上,通过引入一些变量讨论了该类系统的反馈控制器设计问题。以线性矩阵不等式的形式提出了该类系统反馈控制器的设计方法,并利用Matlab中的LMI工具箱直接求解。最后给出数值例子说明方法有效性。 相似文献
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一类切换组合系统的分散反馈镇定 总被引:9,自引:1,他引:8
首次提出切换组合系统的概念,给出了使此系统渐近稳定的分散切换控制律的设计,研究了带有连续控制量的组合大系统采用分散混杂状态反馈稳定化问题. 相似文献
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This paper studies the stability problem of a class of linear switched systems with time‐varying delay in the sense of Hurwitz convex combination. By designing a parameter‐dependent switching law and using a new convex combination technique to deal with delay terms, a new stability criterion is established in terms of LMIs, which is dependent on the parameters of Hurwitz convex combination. The advantage of the new criterion lies in its less conservatism and simplicity. Numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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The conjecture that periodically switched stability implies absolute asymptotic stability of random infinite products of a finite set of square matrices, has recently been disproved under the guise of the finiteness conjecture. In this paper, we show that this conjecture holds in terms of Markovian probabilities. More specifically, let Sk∈Cn×n,1≤k≤K, be arbitrarily given K matrices and , where n,K≥2. Then we study the exponential stability of the following discrete-time switched dynamics S: where can be an arbitrary switching sequence.For a probability row-vector and an irreducible Markov transition matrix with , we denote by the Markovian probability on corresponding to . By using symbolic dynamics and ergodic-theoretic approaches, we show that, if S possesses the periodically switched stability then, (i) it is exponentially stable -almost surely; (ii) the set of stable switching sequences has the same Hausdorff dimension as . Thus, the periodically switched stability of a discrete-time linear switched dynamics implies that the system is exponentially stable for “almost” all switching sequences. 相似文献
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For a class of second-order switched systems consisting of two linear time-invariant (LTI) subsystems, we show that the so-called conic switching law proposed previously by the present authors is robust, not only in the sense that the control law is flexible (to be explained further), but also in the sense that the Lyapunov stability (resp., Lagrange stability) properties of the switched system are preserved in the presence of certain kinds of vanishing perturbations (resp., nonvanishing perturbations). The analysis is possible since the conic switching laws always possess certain kinds of “quasi-periodic switching operations”. We also propose for a class of nonlinear second-order switched systems with time-invariant subsystems a switching control law which locally exponentially stabilizes the entire nonlinear switched system, provided that the conic switching law exponentially stabilizes the linearized switched systems (consisting of the linearization of each nonlinear subsystem). This switched control law is robust in the sense mentioned above. 相似文献
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R. Krishnasamy 《International journal of systems science》2013,44(14):2531-2546
In this paper, the problem of stabilisation analysis for switched neutral systems based on sampled-data control and average dwell time approach is investigated. Delay-dependent stabilisation results are derived in terms of linear matrix inequalities by constructing piecewise Lyapunov–Krasovskii functional based on the Wirtinger's inequality. Also, the controller gain matrix is designed by applying an input-delay approach. Further convex combination technique and some integral inequalities are used to derive less conservative results. The effectiveness of the derived results is validated through numerical examples. 相似文献