Static output feedback control design for descriptor systems

The static output feedback (SOF) synthesis problem for descriptor systems is considered in this paper. LMI-based algorithms are proposed to find potentially structured SOF gains ensuring admissibility and even H∞ performance of the closed-loop system. These algorithms are then used to propose a (descriptor) observer-based H∞ controller design method. An alternative technique for determining such separated estimation/control structure, after the design step, is also proposed. Several numerical examples, throughout the paper, demonstrate the effectiveness of the proposed algorithms.

[1]  C. Fang,et al.  An LMI approach to admissibilization of uncertain descriptor systems via static output feedback , 2003, Proceedings of the 2003 American Control Conference, 2003..

[2]  Atsushi Fujimori.  Optimization of static output feedback using substitutive LMI formulation , 2004, IEEE Transactions on Automatic Control.

[3]  P. Chevrel,et al.  An ILMI approach to structure-constrained LTI controller design , 2001, 2001 European Control Conference (ECC).

[4]  Robert J. Schilling,et al.  On regularizing descriptor systems by output feedback , 1994, IEEE Trans. Autom. Control..

[5]  Jen-te Yu,et al.  A convergent algorithm for computing stabilizing static output feedback gains , 2004, IEEE Trans. Autom. Control..

[6]  P. Chevrel,et al.  DIRECT VERSUS INDIRECT OBSERVER-BASED H∞ CONTROL DESIGN , 2002 .

[7]  Eiho Uezato,et al.  A Strict LMI Condition for H∞ Control of Descriptor Systems , 2000 .

[8]  Pierre Apkarian,et al.  Exact observer-based structures for arbitrary compensators , 1999 .

[9]  M. Yagoubi,et al.  Structured H2Controller Synthesis via a dilated LMI Based Algorithm , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[10]  Qing-Guo Wang,et al.  An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control , 2006, IEEE Transactions on Automatic Control.

[11]  Shengyuan Xu,et al.  Robust Control and Filtering of Singular Systems , 2006 .

[12]  L. Dai,et al.  Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

[13]  A. T. Neto,et al.  Stabilization via static output feedback , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[14]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[15]  Izumi Masubuchi,et al.  PII: S0005-1098(96)00193-8 , 2003 .

[16]  João Yoshiyuki Ishihara,et al.  On the Lyapunov theorem for singular systems , 2002, IEEE Trans. Autom. Control..

[17]  F. Lewis.  A survey of linear singular systems , 1986 .

[18]  E. Uezato,et al.  Strict LMI conditions for stability, robust stabilization, and H/sub /spl infin// control of descriptor systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[19]  Daniel W. C. Ho,et al.  Necessary and sufficient conditions for the output feedback regularization of descriptor systems , 1999, IEEE Trans. Autom. Control..