期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

基于模糊Lyapunov-Krasovskii函数的模糊系统的鲁棒H_∞控制 被引量：2

Robust H_∞ control of fuzzy system via fuzzy Lyapunov-krasovskii function
下载PDF
导出
摘要 针对公共Lyapunov-krasovskii函数(LKF)方法判断离散时滞模糊系统鲁棒稳定性的保守性,构造了模糊LKF,并给出了系统鲁棒稳定的充分条件。应用并行分布补偿算法(PDC),设计了全局鲁棒稳定的模糊控制器。多个附加矩阵变量的引入,使控制器可以通过求解一系列线性矩阵不等式(LMI)获得。最后,通过一个仿真例子验证了方法的有效性。 For the conservation of checking the robust stability of discrete T-S fuzzy system with the com- mon Lyapunov-krasovskii function,sufficient conditions for globally asymptotical stability of discrete T-S fuzzy system with delay are presented by using fuzzy LKF. State-feedback controller was designed by the method of parallel distributed compensation （PDC）. The controller design involves solving a set of linear matrix inequali- ties（LMIs） with multiply additional matrix variables. At last, a simulation example shows that the approach is effective.
作者 张果 李俊民
机构地区 西安电子科技大学理学院
出处 《系统工程与电子技术》 EI CSCD 北大核心 2009年第2期424-427,共4页 Systems Engineering and Electronics
关键词 离散时滞T-S模糊系统 模糊Lyapunov—krasovskii函数 鲁棒控制 线性矩阵不等式 discrete T-S fuzzy system with delay fuzzy Lyapunov-krasovskii function robust control linear matrix inequality
分类号 O1 [理学—基础数学]
  • 相关文献

参考文献15

  • 1Tanaka K, Sugeno M. Stability analysis and design of fuzzy control system[J]. Fuzzy Sets and Systems, 1992, 45 (2): 135 - 156.
  • 2Wang H O, Tanaka K, Griffin M F. An approach to fuzzy control of nonlinear systems:stability and design issues[J]. IEEE Trans. on Fuzzy Systems. , 1996,4 (1):14 - 23.
  • 3Daafouz J, Riedinger P, Iung C. Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach[J]. IEEE Trans. on Automatic Control, 2002, 47 (11) : 1883 - 1887.
  • 4Choi D J, PooGyeon P. H-infinity state-feedback controller design for discrete-time fuzzy systems using weighting-dependent Lyapunov funetions[J]. IEEE Trans. on Fuzzy Syst., 2003, 11 (2): 271 -278.
  • 5Guerra T M, Perruquetti W. Non-quadratic stabilization of discrete Takagi Sugeno fuzzy models[R]. Proc. 2001 IEEE Internet Fuzzy Systems Conf. ,2001:1271 - 1274.
  • 6Guerra T M, Vermeriren L. LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form[J]. Automatica,2004,40(8) :823 - 829.
  • 7Kim E, Lee H. New approaches to relaxed quadratic stability condition of fuzzy control systems[J]. IEEE Trans. on Fuzzy Syst. ,2000,8(5) :523 - 533,
  • 8Zhou S S, Lain J, Zheng W X. Control design for fuzzy systems based onrelaxed nonquadratie stability and H-infinity performance eonditions[J]. IEEE Trans. on Fuzzy Syst. ,2007,15(2) : 188 - 198.
  • 9Lee K H, Lee J H, Kwon W H. Sufficient LMI conditions for H-infinity output feedback stabilization of linear discrete-time systems[J]. IEEE Trans. on Automatic Cont. , 2006, 51 (4) : 675 - 680.
  • 10Lin C, Wang Q G, Lee T H. A less conservative robust stability test for linear uncertain time-delay systems [J]. IEEE Trans. on Automatic Cont. , 2006,51(1) :87 - 91.

同被引文献21

  • 1Takagi T, Sugeno M. Fuzzy identification of systems and its applications to modeling and control[J].IEEE Trans. on systems, Man, and Cybernetics, 1985,15 (1) : 116 - 132.
  • 2Qi R Y, Mietek A B. Stable indirect adaptive control based on discrete-time T S fuzzy model[J].Fuzzy Sets and Systems,2008,159(8):900- 925.
  • 3Chen C W. Stability analysis and robustness design of nonlinear systems: an NN based approach[J].Applied Soft Computing . 2011 ,11 (2) :2735 - 2742.
  • 4Golea N, Golea A, Benmahammed K. Stable indirect fuzzy adaptive control[J].Fuzzy Sets and Systems, 2003,137 ( 3 ) : 353 - 366.
  • 5Chen C W. The stability of an oceanic structure with T S fuzzy models [J]. Mathematics and Computers in Simulation , 2009, 80 (2) :402 -426.
  • 6Chen B, Liu X P,Tong S C. Adaptive fuzzy output tracking control of MIMO nonlinear uncertain systems[J]. IEEE Trans. on Fuzzy Systems, 2007,15(2):287 - 300.
  • 7Chen B, Liu X P,Tong S C. Adaptive fuzzy output tracking control of MIMO nonlinear uncertain systerns[J].IEEE Trans. on Fuzzy Systems, 2007,15(2) :287 - 300.
  • 8Bernal M, Sala A, Jaadari A F. Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions[J]. Fuzzy Sets and Systems,2Oll,doi: 10. 1016/i. fss. 2011. 07. 008. http://www. sciencedirect.com/ science/ article/ pii/ So16 5011411003356.
  • 9Halima D B, Chtourou M. Robust and stable indirect fuzzy adaptive control for SISO nonlinear systems [J]. International Multi- Conference on Systems, Signals and Devices, 2009,9 (6) : 1 - 6.
  • 10Chen B, Liu X P, Liu K F, et al. Direct adaptive fuzzy control for nonlinear systems with time varying delays[J].Information Sciences, 2010,180(5) : 776 - 792.

引证文献2

二级引证文献15

系统工程与电子技术
2009年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部