期刊文献+

基于状态反馈的广义T-S模糊系统鲁棒H_∞控制 被引量:1

State Feedback Robust H_∞ Control for T-S Fuzzy Descriptor Systems
在线阅读 下载PDF
导出
摘要 分别讨论了子系统和全局系统的正则、无脉冲、稳定的关系,举例说明了子系统的正则、无脉冲、稳定并不能保证全局系统的正则、无脉冲、稳定·说明了对其进行研究的可行性和必要性·研究了一类广义T S模糊系统鲁棒控制问题·给出了设计该状态反馈控制器保证闭环系统稳定并满足一定性能指标的充分条件·使用LMI方法表示了此条件,算例显示了该方法的简易有效· The relations among the fuzzy descriptor subsystems and the overall systems are discussed on the regularity, impulse-free and stability. It is illustrated that the regularity, impulse-free and stability of the subsystems cannot guarantee those of the overall fuzzy descriptor systems composed of such subsystems. For this reason, it is possible and necessary to study the systems. A class of robust H_∞ control for T-S fuzzy descriptor systems with regularity and impulse-fee is thus discussed. The sufficient conditions are given, under which a state feedback controller can be designed to provide the stability of the closed-loop system and satisfy the H_∞-performance. The sufficient conditions are expressed via LIM. The simplicity and effectiveness of the control method proposed is shown by an example.
出处 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第5期453-456,共4页 Journal of Northeastern University(Natural Science)
基金 辽宁省普通高校学科带头人基金资助项目(124210)
关键词 广义T—S模糊系统 状态反馈控制器 稳定性 线性矩阵不等式 T-S fuzzy descriptor systems state feedback robust H_∞ controller stability linear matrix inequality (LMI)
  • 相关文献

参考文献10

  • 1Takagi T, Sugeno M. Fuzzy identification of systems and its applications to modeling and control[J ]. IEEE Trans on S M C, 1985,15(1):116- 132.
  • 2Taniguchi T, Tanaka K, Yanafuji K, et al. Fuzzy descriptor systems: stability analysis and design via LMIs[A]. Proc of A C C[C]. San Diego: IEEE, 1999. 1827- 1831.
  • 3Taniguchi T, Tanaka K, Wang H O. Fuzzy descriptor systems and nonlinear model following control [ J ]. IEEE Trans on Fuzzy Systems, 2000,8 (4): 442 - 452.
  • 4Yu L, Chu J, Su H Y. Robust memoryless controller design for linear time-delay systems with norm-bounded time-varying uncertainty[J]. Automatica, 1996,32(12):1759-1762.
  • 5Ma J, Feng G. An approach to H∞-control of fuzzy dynamic systems[J ]. Fuzzy Sets and Systems, 2003,137 (3):367 -386.
  • 6Fridman E, Shaked U. H∞-control of linear state-delay descriptor systems: an LMI approach[J ]. Linear Algebra and Its Appications, 2002,352:271 - 302.
  • 7Yoneyama J, Ichikawa A. H∞-control for Taksgi-Sugeno fuzzy descriptor systems[ A]. Proc of the IEEE Iht Comf on S M C[C]. Tokyo: IEEE, 1999.28 - 33.
  • 8刘晓东,张庆灵,王岩.T-S模糊广义系统的H_∞控制[J].东北大学学报(自然科学版),2002,23(5):428-431. 被引量:11
  • 9王岩,张庆灵.不确定广义模糊系统的鲁棒模糊H_∞控制器设计[J].计算技术与自动化,2003,22(1):3-7. 被引量:6
  • 10吴忠强.非线性时滞系统的一种模糊H_∞控制方案[J].系统工程理论与实践,2003,23(9):129-134. 被引量:6

二级参考文献16

  • 1[6]Taniguchi T., Tanaka K.and Wang H. O.. Fuzzy descriptor systems and nonlinear model following control[J]. IEEE Transactions on Fuzzy Systems,2000,8: 442 - 432.
  • 2[1]Cao Y.Y. and Frank P. M.. Analysis and synthesis of nonlinear time-delay systems via fuzzy control Approach [J] .IEEE Trans. Fuzzy Systems, 2000,8: 200 - 211.
  • 3[2]Taniguchi T.,Tanaka K. ,Yamafuji K. and Wang H. O.. Fuzzy descriptor systems: Stability analysis and design via LMIs [A]Proc. Amer. Contr. Conf [C], San Diego, CA, 1999.1827 -1831.
  • 4[3]Uang H.J. And Chen B.S.. Fuzzy decentralized control and observer design for nonlinear interconnected systems [A]. The 9th IEEE International Conference on Fuzzy System [C], 2000. 945- 948.
  • 5[4]Taniguchi T., Tanaka K. and Wang H. O.. Fuzzy descriptor systems and fuzzy controller designs [A] .The 8th Int. Fuzzy Syst. Assoc. World Congress [C], Taipei, Taiwan, 1999. 655 -659.
  • 6[5]Jun Y.and Akira I.. H∞-control for Takagi-Sugeno fuzzy descriptor systems [A] . Proceedings of the IEEE International Conference on Systems, Man and Cybernetics [C], Tokyo,Japan, 1999. Ⅲ - 28 - Ⅲ - 33.
  • 7[7]Liu X. P.. Robust stabilization of nonlinear singular systems[A].Proceedings of the 34th Conference on Decision & Control[C]. New Orleans, LA, 1995.2375 - 2376.
  • 8[8]Xie L., Carlos E de S.. Criteria for robust stabilization of uncertain linear systems with time-varying states delays [A]. Proc. of IFAC 13th Triennial Word Congress[C]. USA, 1996,137 - 142.
  • 9Han Ho Choi, Myung Jin Chung. Memoryless stabilization of uncertain dynamic systems with time-varying delayed states and controls[J]. Automatica, 1995, 31(9) : 1349-- 1359.
  • 10Eun Jae Jeung, Do Chang Oh, Jong Hae Kim Hong Bae Park. Robust controller design for uncertain systems withtime delays: LMI approach[J]. Automatica, 1996, 32(8) : 1229-- 1231.

共引文献18

同被引文献26

引证文献1

二级引证文献19

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