期刊文献+

线性控制系统窗口频域分析与设计 被引量:1

Analysis and design of linear control systems in window frequency domain
下载PDF
导出
摘要 针对局部频率范围提出了窗口H∞范数的新概念,指出传统H∞范数是窗口H∞范数的特例.利用GKYP引理证明了广义界实定理,研究了线性控制系统在窗口频域的性能分析问题.基于近似模型匹配原则和广义界实定理,将控制器设计问题转化为窗口H∞范数优化问题.仿真实例表明,窗口H∞范数适于窗口频域的线性控制系统分析和设计. A new conception of window H norm for local frequency range is presented, and it is stated that traditional H norm is a special case of window H norm. Generalized bounded real theorem is proved by using GKYP lemma, and performance analysis problems of linear control systems are investigated in window frequency domain. The controller design problems of linear control systems are converted into window H norm optimization problems based on approximate model matching principle and generalized bounded real theorem. Simulation examples demonstrate that the window H norm is suitable for the analysis and design of linear control systems in window frequency domain.
出处 《控制与决策》 EI CSCD 北大核心 2008年第9期1021-1024,1029,共5页 Control and Decision
关键词 窗口频域 窗口H∞范数 GKYP引理 广义界实定理 近似模型匹配 Window frequency domain Window H norm GKYP lemma Generalized bounded real theorem Approximate model matching
  • 相关文献

参考文献10

  • 1Doyle J C. Robust and optimal control[C]. Proc of 35th IEEE on Decision and Control. Kobe. 1996, 2: 1595- 1598.
  • 2Zames G. Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms and approximation inverses[J]. IEEE Trans on Automatic Control, 1981, 26(2): 301-320.
  • 3Doyle J C, Glover K. Khargonekar P, et al. State-space solutions to standard H2 and H control problems[J]. IEEE Trans on Automatic Control, 1989, 34(8): 831- 847.
  • 4Zhou K, Doyle J C, Glover K. Robust and optimal control[M]. London: Prentice Hall, 1996.
  • 5Iwasaki T. Hara S. Generalized KYP lemma: Unified frequency domain inequalities with design applications [J]. IEEE Trans on Automatic Control, 2005, 50(1):41-59.
  • 6Hara using S, Iwasaki T, Shiokata D. Robust PID control gene shapping in ralized KYP synthesis: Direct open-loop multiple frequency ranges[J]. IEEE Control Systems Magazine, 2006, 26(1): 80-91.
  • 7Iwasaki T, Hara S, Yamauchi H. Dynamical system design from a control perspective: Finite frequency positive-realness approach [ J ]. IEEE Trans on Automatic Control, 2003, 48(8): 1337-1354.
  • 8Iwasaki T, Hara S. Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma[J]. Int J of Robust and Nonlinear Control, 2007, 17(5/6) : 415-434.
  • 9Dehghani A, Lanzon A, Anderson B D O. A two degree-of-freedom H-infinity control design method for robust model matching [J]. Int J of Robust and Nonlinear Control, 2006,16(10): 467-483.
  • 10Hammer J. Approximate model matching for nonlinear control systems[J]. Int J of Control, 2000, 73 (18): 1671-1685.

同被引文献14

  • 1Shozo M, Nishihata H, Furuta K. Control of unstable mechanical system[J]. Conlrol of Pendulum, 1976, 23(5): 673-692.
  • 2Lu H C, Chang M H, Tsai C H. Adaptive self-constructing fuzzy neural network controller for hardware implementation of an inverted pendulum system[J]. Applied Soft Computing, 2011, 11(5): 3962-3975.
  • 3Tu Y W, Ho M T. Design and implementation of robust visual servoing control of an inverted pendulum with an FPGA-based image co-processor[J]. Meehatronics 2011, 21 (7): 1170-1182.
  • 4Iwasaki T, Ham S. Generalized KYP lemma: unified frequency domain inequalities with design applications[J]. IEEE Transaction on Automatic Control, 2005, 50(1): 41-59.
  • 5Rantzer A. On the Kalman-Yakubovich-Popov lemma[J]. System & Control Letters, 1996, 28(1): 7-10.
  • 6Iwasald T, Haxa S. Generalized KYP lemma: unified frequency domain inequalities with design applications[J]. IEEE Transactions on Automatic Control, 2005, 50(1): 277-290.
  • 7Iwasaki T, Ham S. From generalized KYP lemma to engineering applications[C]. Proceedings of the 42nd IEEE Conference on Decision and Control, Hawaii, USA, 2003: 792-797.
  • 8Iwasaki T, Meinsma G, Fu M. Generalized S-procedure and finite frequency KYP lemma[J]. Mathematical Problems in Engineering, 2000, 6(9): 305-320.
  • 9Yu H W, Zheng Y F. On the model-based networked control for singualarly perturbed systems[C]. Proceedings of the 6th International Cortfeence on Chinese Conol and Decision Conference, 2007: 1548-1552.
  • 10Dan Y H, Li Z S, Zhang X C. Research of DD2UD with human simulating intelligent control for a double inverted pendulum[J]. Procedia Engineering, 2011, 15: 881-885.

引证文献1

二级引证文献2

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