A unified approach to LMI-based reduced order self-scheduling control synthesis

Systems and Control Letters

Volumn 36, Issue 1, 1999, Pages 75-86

  Asai, Toru ^a   Hara, Shinji ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Linear matrix inequalities; Linear parameter varying systems; Multi objective control system design; Reduced order controller design; Servo system design

Indexed keywords

EID: 0002847858     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00076-0     Document Type: Article

References (16)

1. ∞ control of linear parameter-varying systems, Automatica 31 (1995) 1251-1261.
2. T. Asai, S. Hara, Convex parametrization of reduced order controllers for a class of problems under partial state measurements, in: Proc. 36th IEEE Conf. Decision Control, 1997, pp. 189-190.
3. ∞ control, Trans. SICE 32 (1996) 502-509.
4. ∞ norm constraint, Int. J. Control 66 (1997) 803-823.
5. T. Iwasaki, R.E. Skelton, All controllers for the general H∞ control problem: LMI existence conditions and state space formulas, Automatica 30 (1994) 1307-1317.
6. ∞ and LPV control problems involving partial state feedback, in: Proc. Amer. Control Conf., 1997, pp. 1762-1765.
7. I. Masubuchi, A. Ohara, N. Suda, E. Shimemura, LMI-based control system design - a class of tractable LMIs and freedom of controllers, in: Proc. Symp. 30th Anniversary of Kansai Chapter of SICE, 1996, pp. 47-50 (in Japanese).
8. I. Masubuchi, A. Ohara, N. Suda, LMI-based controller synthesis: a unified formulation and solution, Int. J. Robust Nonlinear Control 8 (1998) 669-686.
9. J.E. Nesterov, A.S. Nemirovskii, Interior-Point Polynomial Algorithms in Convex Programming, SIAM, 1994.
10. A. Packard, Gain scheduling via linear fractional transformations, Systems Control Lett. 22 (1994) 79-92.
11. ∞ control for time-varying and linear parametrically-varying systems, Int. J. Robust Nonlinear Control 6 (1996) 929-952.
12. C. Scherer, P. Gahinet, M. Chilali, Multiobjective output-feedback control via LMI optimization, IEEE Trans. Automat. Control 42 (1997) 896-911.
13. L. Vandenberghe, S. Boyd, A primal-dual potential reduction method for problems involving matrix inequalities, Math. Programming 69 (1995) 205-236.
14. ∞ control problems, in: Proc. 35th IEEE Conf. Decision Control, 1996, pp. 715-720.
15. ∞ control problem based on LMI, Automatica 32 (1996) 1581-1585.
16. K. Zhou, P.P. Khargonekar, J. Stoustrup, H.N. Niemann, Robust performance of systems with structured uncertainties in state space, Automatica 31 (1995) 249-255.