论文信息 - An ILMI approach to structure-constrained LTI controller design

An ILMI approach to structure-constrained LTI controller design

The BMI framework is inevitable for approaching complex robust control design problems with structural constraints. Some heuristics have been recently proposed to deal with the optimization problem under BMI constraints which is known to be NP-hard. This paper participates to this research by proposing a reliable Iterative LMI approach that achieves more efficient results than others when solving some H2 and H∞ decentralized control problems.

P. Chevrel | M. Yagoubi

[1] L. El Ghaoui,et al. Synthesis of fixed-structure controllers via numerical optimization , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[2] Stephen P. Boyd,et al. Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[3] Mathukumalli Vidyasagar,et al. Statistical learning theory and randomized algorithms for control , 1998 .

[4] Pedro Luis Dias Peres,et al. Decentralized control through parameter space optimization , 1994, Autom..

[5] K. Goh,et al. Control system synthesis via bilinear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[6] K. Goh,et al. Robust synthesis via bilinear matrix inequalities , 1996 .

[7] O. Toker,et al. On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[8] Laurent El Ghaoui,et al. Advances in linear matrix inequality methods in control: advances in design and control , 1999 .

[9] G. Papavassilopoulos,et al. A global optimization approach for the BMI problem , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[10] Tetsuya Iwasaki,et al. All controllers for the general H∞ control problem: LMI existence conditions and state space formulas , 1994, Autom..