A LMI solution in the H2 optimal problem for singularly perturbed systems

Proceedings of the American Control Conference

Volumn 1, Issue , 1998, Pages 550-554

  Garcia, G ^a,b   Daafouz, J ^a,b   Bernussou, J ^a  

^a LAAS CNRS   (France)

^b INSA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE CONTROLLERS; CONTROL PROBLEMS; OPTIMAL PROBLEMS; POLE PLACEMENT; REDUCED ORDER; SINGULARLY PERTURBED SYSTEMS; SLOW SUBSYSTEM; STRUCTURAL CONSTRAINTS;

LINEAR MATRIX INEQUALITIES; OPTIMIZATION; RICCATI EQUATIONS;

PERTURBATION TECHNIQUES;

EID: 0008306695     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.694729     Document Type: Conference Paper

References (8)

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2. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan Linear Matrix Inequality in Systems and Control Theory Studies in Applied Mathematics, 1994.
3. P. L. D. Peres, J. C. Geromel "An Alternate numerical solution to the Linear Quadratic Problem" IEEE Trans. on Autom. Control, vol 39, N 1, 1994.
4. C. Scherer, P. Gahinet and M. Chilali "Multiob-jective Output-Feedback Control via LMI Optimization" IEEE Trans. on Autom. Control, vol 42, N7, 1997.
5. B.D.O Anderson, J.B. Moore Optimal control - Linear quadratic methods Prentice Hall 1990.
6. D. Arzelier, J. Bernussou and G. Garcia "Pole Assignment of Linear Uncertain Sygtems in a sector via a Lyapunov type approach" IEEE Trans. on Autom. Control, vol 38, N 7, 1993.
7. ∞ Design with Pole Placement Constraints: An LMI Approach" IEEE Trans. on Autom. Control, AC-41, pp 358-367, 1996.
8. G. Garcia, J. Daafouz, J. Bernussou, "The infinite time near optimal regulator problem for singularly perturbed systems: A LMI solution" LAAS report N 97136-April 1997, proposed to Automatica