期刊文献+

FIRST-ORDER METHODS FOR SOLVING THE OPTIMAL STATIC H∞-SYNTHESIS PROBLEM

FIRST-ORDER METHODS FOR SOLVING THE OPTIMAL STATIC H∞-SYNTHESIS PROBLEM
原文传递
导出
摘要 In this paper, we consider the static output feedback (SOF) H∞-synthesis problem posed as a nonlinear semi-definite programming (NSDP) problem. Two numerical algorithms are developed to tackle the NSDP problem by solving the corresponding Karush- Kuhn-Tucker first-order necessary optimality conditions iteratively. Numerical results for various benchmark problems illustrating the performance of the proposed methods are given. In this paper, we consider the static output feedback (SOF) H∞-synthesis problem posed as a nonlinear semi-definite programming (NSDP) problem. Two numerical algorithms are developed to tackle the NSDP problem by solving the corresponding Karush- Kuhn-Tucker first-order necessary optimality conditions iteratively. Numerical results for various benchmark problems illustrating the performance of the proposed methods are given.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2007年第6期672-689,共18页 计算数学(英文)
关键词 Static output feedback H∞-synthesis Semi-definite programming Nonlinear programming. Static output feedback, H∞-synthesis, Semi-definite programming, Nonlinear programming.
  • 相关文献

参考文献34

  • 1P. Apkarian and P. Gahinet, A convex characterization of gain-scheduled H∞ controllers, IEEE T. Automat. Control, 40 (1995), 853-864.
  • 2P. Apkarian, D. Noll and H.D. Tuan, Fixed-order H∞ control design via augmented Lagrangian method, Int. J. Robust Nonlinear Control, 13 (2003), 1137-1148.
  • 3P. Apkarian, D. Noll, J.-B. Thevenet and H.D. Tuan, A spectral quadratic-SDP method with applications to fixed-order H2 and H∞ synthesis, in Proceedings Asian Control Conf., Melbourne, Australia, 2004.
  • 4D.S. Bernstein and W.M. Haddad, LQG control with an H∞ performance bound: A Riccati equation approach, IEEE T. Automat. Control, 34 (1989), 293-305.
  • 5S.P. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Vol. 15 of SIAM Studies in Applied Mathematics, SIAM, Philadelphia, 1994.
  • 6B.M. Chen, H∞ control and its applications, Vol. 235 of LNCIS, Springer-Verlag, Berlin, New York, 1998.
  • 7M. Chilali and P. Gahinet, H∞ design with pole placement constraints: An LMI approach, IEEE T. Automat. Control, 41 (1996), 358-367.
  • 8J. Doyle, K. Glover, P.P. Khargoneker, and B.A. Francis, State-space solutions to standard H2 and H∞ control problems, in Proc. American Control Conf., 1988, 1691-1696.
  • 9L. El Ghaoui, F. Oustry and M. Ait Rami, 1997. A cone complementarity linearization algorithm for static output-feedback and related problem, IEEE T. Automat. Control, 42 (1997), 1171-1176.
  • 10B. Fares, P. Apkarian and D. Noll, An augmented Lagrangian method for a class of LMI- constrained problems in robust control theory, Int. J. Control, 74 (2001), 348-360.

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