共查询到19条相似文献,搜索用时 125 毫秒
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本文研究了不确定T-S模糊随机时滞系统的时滞相关鲁棒稳定性问题,这里的不确定性是范数有界的.通过构造新的Lyapunov泛函和矩阵不等式引理,利用具有时滞的非线性随机系统的Lypaunov稳定性理论和自由权矩阵方法,导出了使系统鲁棒均方指数稳定的时滞相关线性矩阵不等式(LMI)条件.该判据具有较低的保守性,适用时滞变化率大于1的情形.最后通过数值例子验证了所得结果的有效性. 相似文献
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为了得到一类中立型灰色随机分布时滞系统的指数鲁棒稳定性,本文利用Lyapunov-Krasovskii泛函法、灰矩阵的连续矩阵覆盖的分解技术和Ito公式,分别得到了以非线性矩阵不等式和线性矩阵不等式(LMI)表示的该系统指数鲁棒稳定的时滞依赖性判据。对非线性矩阵不等式判据,我们给出了一般性算法,解决了非线性矩阵不等式判据不便于实际应用的问题。数值例子表明,本文所给判据是有效的,且系统的指数稳定性和时滞,随着绝对灰度矩阵的谱范数的增大而减小。 相似文献
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本文考虑了一类具有时变时滞和非线性扰动的中立型系统的鲁棒稳定性问题.基于Lyapunov稳定性理论和自由权矩阵方法,得到保证系统鲁棒渐近稳定的新的充分条件.所得结果同时依赖于离散时滞和中立时滞,并用LMIs表示.由于对Lyapunov泛函导数采用了无保守的估计,因此所得结果具有较小的保守性,能够给出时变时滞较大的允许时... 相似文献
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研究一类连续切换区间系统的鲁棒指数稳定及其扰动衰减性能估计。利用平均驻留时间方法和线性矩阵不等式(LMIs)方法,得出了连续切换区间系统鲁棒指数稳定且满足扰动衰减度的充分条件。同时设计了系统的线性无记忆状态反馈控制器,所得结果均以LMIs的形式给出,求解方便。最后通过仿真实例验证了结果的有效性。 相似文献
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本章研究Delta算子描述的线性不确定时滞系统在圆形区域极点约束下的容错控制问题。基于Lyapunov-Krasovskii稳定性理论和线性矩阵不等式(LMI)方法,给出Delta算子系统在执行器失效和状态时滞情况下,确保系统鲁棒D稳定容错控制的两个充分条件;基于这一LMI的可行性解,得到状态反馈控制律的参数化表示。数值算例说明了该方法的有效性。 相似文献
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本文主要研究一类带离散延迟和脉冲的随机细胞神经网络(SDCNNswI)的均方指数稳定性和周期解的存在性。首先,用庞加莱收缩理论分析了SDCNNswI的周期解存在条件;其次,用李雅谱诺夫函数、随机分析理论和Young不等式推出了几个定理,给出了保证SDCNNswl的周期解具有均方指数稳定性的几个充分条件,其中只包含SDCNNswI的几个控制参数,通过简单的代数方法即可验证。最后,通过两个例子说明了所提出准则的有效性。 相似文献
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This article presents an estimated state feedback fuzzy controller design method for uncertain passive discrete-time nonlinear stochastic systems with multiplicative noises. The nonlinear stochastic systems considered in this article are represented by Takagi–Sugeno (T–S) fuzzy models. For describing stochastic behaviors, stochastic differential equations are used to structure the stochastic T–S fuzzy model for representing nonlinear stochastic systems. Besides, the uncertainties of the controlled system are considered for dealing with molding errors and varying parameters. The concept of parallel distributed compensation is employed in this article to construct the estimated state feedback fuzzy controllers. Applying the Lyapunov and passivity theories, the sufficient stability conditions are derived in terms of linear matrix inequality. Finally, a numerical example is provided to show the effectiveness and applicability of the proposed fuzzy controller design approach. 相似文献
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Pin-Lin Liu 《中国工程学刊》2016,39(2):150-158
This paper concerns managing the robust exponential stability problem of uncertain Takagi–Sugeno fuzzy systems with time-varying delay by employing a further improved integral inequality matrix approach. Based on the linear matrix inequality (LMI) approach, delay-dependent robust exponential stability criteria have been developed. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent robust exponential stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov–Krasovskii functionals. Maximum allowable upper bound for time-varying delays is determined. Numerical examples are provided to show that the obtained results significantly improve the allowed upper bounds of delay size over some methods existing in the literature. 相似文献
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Jenq‐Der Chen 《中国工程学刊》2013,36(7):1055-1061
Abstract In this paper, the robust control for uncertain delay systems in state and control input is considered. The uncertainty is nonlinear time‐varying perturbations and does not require a matching condition but is norm‐bounded. Based on the constructive use of Lyapunov functional, delay‐dependent stabilizability criteria are proposed to guarantee stability for the systems via linear control. Linear matrix inequality (LMI) and Genetic algorithms are used to design a memoryless state‐feedback controller. Two numerical examples are given to illustrate that the proposed results are less conservative than some others. 相似文献
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Chang‐Hua Lien 《中国工程学刊》2013,36(3):479-492
Abstract In this paper, the dynamic observer‐based controller design for a class of neutral systems with known and uncertain time delays is considered. Delay‐dependent and delay‐independent stabilizability criteria are proposed to guarantee the stability for the feedback control systems. Linear matrix inequality (LMI) and genetic algorithm (GA) are used to design the observer‐based control. Design procedure for the observer‐based control is provided. A numerical example is given to illustrate our results. 相似文献
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The asymptotic Lyapunov stability with probability one of a Duffing system with time-delayed feedback control under bounded noise parametric excitation is studied. First, the time-delayed feedback control force is expressed approximately in terms of the system state variables without time delay. Then, the averaged Itô stochastic differential equations for the system are derived by using the stochastic averaging method and the expression for the Lyapunov exponent of the linearized averaged Itô equations is derived. It is inferred that the Lyapunov exponent so obtained is the first approximation of the largest Lyapunov exponent of the original system, and the asymptotic Lyapunov stability with probability one of the original system can be determined approximately by using the Lyapunov exponent. Finally, the effects of time delay in feedback control on the Lyapunov exponent and the stability of the system are analyzed. The theoretical results are well verified through digital simulation. 相似文献