Direct state space solution of multirate sampled-data script H sign2 optimal control

Automatica

Volumn 34, Issue 11, 1998, Pages 1431-1437

  Qiu, Li ^a   Tan, Kan ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Causality constraint; Lifting technique; Multirate; Nest algebra; Sampled data systems; Script H sign2 optimization

Indexed keywords

ALGEBRA; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; OPTIMIZATION; SAMPLED DATA CONTROL SYSTEMS; STATE SPACE METHODS;

CAUSALITY CONSTRAINT; MULTIRATE CONTROL;

OPTIMAL CONTROL SYSTEMS;

EID: 0032204040     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00080-6     Document Type: Article

References (20)

1. Al-Rahmani, H. M. and G. F. Franklin (1992). Multirate control: A new approach. Automatica, 28, 35-44.
2. Bamieh, B., J. B. Pearson, B. A. Francis and A. Tannenbaum (1991). A lifting technique for linear periodic systems with applications to sampled-data control. Systems Control Lett., 17, 79-88.
3. 2 problem for sampled-data systems. Systems Control Lett., 19, 1-12.
4. 2 optimal control of sampled-data systems. Automatica, 27, 963-74.
5. ∞ design of general multirate sampled-data control systems. Automatica, 30, 1139-1152.
6. Chen, T. and B. A. Francis (1995). Optimal Sampled-Data Control Systems. Springer, London.
7. Colaneri, P. and G. De Nicolao (1995). Multirate LQG control of continuous-time stochastic systems. Automatica, 31, 591-596.
8. Khargonekar, P. P., K. Poolla and A. Tannenbaum (1985). Robust control of linear time-invariant plants using periodic compensation. IEEE Trans. Automat. Control, AC-30, 1088-1096.
9. 2 optimal control of sampled-data systems. Systems Control Lett., 17, 425-436.
10. Meyer, D. G. (1992). A parameterization of stabilizing controllers for multirate sampled-data systems. IEEE Trans. Automat. Control, AC-37, 1411-1415.
11. Mirkin, L. and Z. J. Palmor (1997). Mixed discrete/continuous specifications in sampled-data script H sign-optimal control. Automatica, 33, 1997-2014.
12. 2-optimal design of multirate sampled-data systems. IEEE Trans. Automat. Control, AC-39, 2506-2511.
13. Qiu, L., T. Chen, A. Potvin, J. Gu, K. Tan, Y. Sun and H. Shu (1996). Development of MATLAB tools and case study for multirate control design. Proc. 35th IEEE Conf. on Decision and Control, pp. 1278-1283.
14. 2 optimal control with a causality constraint. Systems Control Lett., 26, 69-77.
15. ∞ Control Problem. Printice-Hall, New York.
16. Sz.-Nagy, B. and C. Foias (1970), Harmonic Analysis of Operators on Hilbert Space. North-Holland, Amsterdam.
17. 2 optimal control. SIAM J. Control Optim., 33, 834-862.
18. Van Loan, C. F. (1978). Computing integrals involving the matrix exponential. IEEE Trans. Automat. Control, AC-23, 395-404.
19. 2 control of hybrid multirate systems. Systems Control Lett., 20, 249-261.
20. 2 optimal controllers for periodic and multirate systems. Automatica, 30, 251-263.