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非线性广义系统时滞相关的模糊控制 被引量:6

Delay-Dependent Fuzzy Control for Nonlinear Descriptor Systems
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摘要 研究T-S模糊广义时滞系统的时滞相关稳定性问题.通过定义新的Lyapunov函数,给出时滞相关稳定性判据.进一步考虑模糊权重的作用,将不同子系统间的相互影响考虑到一个矩阵中,给出放宽的模糊控制器设计方案.数值算例表明所得结论较已有文献具有较小的保守性. The delay-dependent stability condition of T-S fuzzy descriptor systems with time-varying delay is discussed. A delay-dependent stability criterion is proposed by defining a new Lyapunov function. With the effective application of weights, a less conservative fuzzy controller design method is given. The relaxed design method includes the interactions of different subsystems into one matrix. At last, some examples are given to illustrate that the new sufficient condition is less conservative than the results given by previous literature.
出处 《自动化学报》 EI CSCD 北大核心 2006年第5期824-828,共5页 Acta Automatica Sinica
基金 国家自然科学基金(60574011)资助
关键词 时滞相关 T—S模糊广义时滞系统 模糊控制 线性矩阵不等式 Delay-dependent, T-S fuzzy descriptor system with time-delay, fuzzy control,linear matrix inequality (LMI)
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  • 1Taniguchi T, Tanaka K, Yamafuji K, Wang H O. Fuzzy descriptor systems: stability analysis and design via LMIs. In- Proceedings of American Control Conference. San Diego, CA, USA: 1999. 3(3): 1827-1831
  • 2Wang Y, Sun Z Q, Sun F C. Robust fuzzy control of a class of nonlinear descriptor systems with time-varying delay. International Journal of Control, Automation and Systems, 2004, 2(1): 76-82
  • 3Moon Y S. Delay-dependent robust stabilization of uncertain state-delayed systems. International Journal of Control, 2001, 74(14): 1447-1455
  • 4Liu X P. Robust stabilization of nonlinear singular systems. In: Proceedings of the 34th Conference Decision and Control. New Orleans, LA: 1995. 2375-2376
  • 5Guan X P, Chen C L. Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays. IEEE Transavtions on Fuzzy Systems, 2004, 12(2): 236-249

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