An ILMI approach to structure-constrained LTI controller design

2001 European Control Conference, ECC 2001

Volumn , Issue , 2001, Pages 1279-1284

  Yagoubi, M ^a,b   Chevrel, P ^a,b  

^a INSTITUT DE RECHERCHE EN COMMUNICATIONS ET CYBERNÉTIQUE DE NANTES   (France)

^b ECOLE DES MINES DE NANTES   (France)

Author keywords

Bilinear Matrix Inequalities; H2 and H decentralized control; Linear Matrix Inequalities; Linear systems

Indexed keywords

CONTROLLERS; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; ROBUST CONTROL;

BILINEAR MATRIX INEQUALITY; CONTROLLER DESIGNS; LMI APPROACH; NP-HARD; OPTIMIZATION PROBLEMS; ROBUST CONTROL DESIGNS; STRUCTURAL CONSTRAINTS;

DECENTRALIZED CONTROL;

EID: 84947465885     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2001.7076093     Document Type: Conference Paper

References (19)

1. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, "Linear Matrix Inequalities in System and Control Theory", Studies in Applied Mathematics, (1994).
2. P. Chevrel, M. Yagoubi, "On insensitive H2 control problem complexity", E. C. C., Portugal, September (2001).
3. L. El Ghaoui, V. Balakrishnan, "Synthesis of Fixed-Structure Controllers via Numerical Optimization", C. D. C., December(1994).
4. L. El Ghaoui, S.-L. Niculescu, "Advances in Linear Matrix Inequality Methods in Control", Advances in Design and Control, Siam, (2000).
5. A. Fischman, "Robust control of systems with structural constraints ", INPG Ph. D. Thesis, (1998).
6. P. Gahinet, A. Nemirovskii, A. J. Laub, and M. Chilali, "LMI Control Toolbox", The MathWorks, Inc., Natick, MA, (1995).
7. P. Gahinet, A. Nemirovskii, "General purpose LMI solver with benchmarks", Proc. 32nd C. D. C., San Antonio, TX, (1993).
8. J. C. Geromel, J. Bernussou, P. L. D. Peres, "Decentralized Control Through Parameter Space Optimization", Automatica, Vol. 30,No. 10,pp. 1565-1578,(1994).
9. K.-C. Goh, M. G. Safonov, G. P. Papavassilopoulos,"A Global Optimization Approach for the BMI Problem", C. D. C, December(1994).
10. T. Iwasaki, R. E. Skelton, "All Controllers for the General H Control Problem: LMI Existence Conditions and State Space Formulas", Automatica, Vol. 30, No. 8, pp. 1307-1317, (1994).
11. A. Packard, K. Zhou, P. Pandey, and G. Becker, "A collection of robust control problems leading to LMI's", C. D. C, Brighton, UK, pp. 1245-1250, (1991).
12. M. G. Safonov, K. C. Goh, and J. H. Ly, "Control system synthesis via bilinear matrix inequalities", Proc. ACC, Baltimore, MD, June, (1994).
13. G. Scorletti, G. Due, "A Convex Approach to Decentralized H Control", American Control Conference, Albuquerque, (1997).
14. J.-K. Shiau, J. H. Chow, "Robust Decentralized State Feedback Control Design Using an Iterative Linear Inequality Algorithm", IFAC, pp. 203-208, (1996).
15. M. Vidyasagar, "Statistical Learning Theory and Randomized Algorithms for Control", IEEE Control Systems, pp. 69-85, (1998).
16. O. Toker and Ozbay, "On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback", A. C. C., (1995).
17. K. C. Goh, M. G. Safonov, and J. H. Ly, "Robust synthesis via bilinear matrix inequalities", International J. Robust Nonlinear Control, vol. 6, pp. 1079-1095, (1996).
18. E. Beran, L. Vandenberghe, and S. Boyd, "A global BMI algorithm based on the generalized Benders decomposition", ECC, Brussels, Belgium, July (1997).
19. F. C. Lee, H. Flashner, and M. G. Safonov, "Posivity-based control system synthesis using alternating LMIs", A. C. C., seattle,WA,June(1995).