Model validation for robust control of uncertain systems with an integral quadratic constraint

Automatica

Volumn 32, Issue 4, 1996, Pages 603-606

  Savkin, Andrey V ^a   Petersen, Ian R ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Kalman filters; Uncertain dynamic systems; Validation

Indexed keywords

INTEGRAL QUADRATIC CONSTRAINT; MODEL VALIDATION; UNCERTAIN SYSTEMS;

ALGORITHMS; CONTROL SYSTEM SYNTHESIS; KALMAN FILTERING; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; RICCATI EQUATIONS; STATE ESTIMATION; TIME VARYING CONTROL SYSTEMS; VECTORS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0030127626     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(95)00167-0     Document Type: Article

References (15)

1. Beck, C. (1994). Minimality for uncertain systems with iqcs. In Proc. 33rd IEEE Conf. on Decision and Control, Lake Buena Vista, FL, pp. 3068-3073.
2. Bertsekas, D. P. and I. B. Rhodes (1971). Recursive state estimation for a set-membership description of uncertainty. IEEE Trans. Autom. Control, AC-16, 117-128.
3. Clements, D. J. and B. D. O. Anderson (1978). Singular Optimal Control: The Linear-Quadratic Problem. Springer-Verlag, Berlin.
4. Dorato, P., R. Tempo and G. Muscato (1993). Bibliography on robust control. Automatica, 29, 201-214.
5. Lewis, F. L. (1986). Optimal Control, Wiley, New York.
6. ∞ control for time-varying systems. SIAM J. Control Optim. 30, 262-283.
7. Megretski, A. (1994). Synthesis of robust controllers for systems with integral quadratic constraints. In Proc. 33rd IEEE Conf. on Decision and Control, Lake Buena Vista, FL, pp. 3092-3097.
8. Patton, R., P. M. Frank and R. N. Clark (1989). Fault Diagnosis in Dynamic Systems: Theory and Applications. Prentice-Hall, Englewood Cliffs, NJ.
9. ∞ control problem. Int. J. Robust and Nonlinear Control, 1, 171-185.
10. Poolla, K., P. Khargonkar, A. Tikku, J. Krause and K. Nagpal (1992). A time-domain approach to model validation. In Proc. American Control Conf., Chicago, IL, pp. 313-317.
11. Savkin, A. V. and I. R. Petersen (1995). Minimax optimal control of uncertain systems with structured uncertainty. Int. Robust and Nonlinear Control, 5, 119-137.
12. Smith, R. S. (1990). Model validation for uncertain systems. PhD thesis, California Institute of Technology.
13. Smith, R. S. and J. C. Doyle (1992). Model validation: a connection between robust control and identification. IEEE Trans. Autom. Control, AC-37, 942-952.
14. Yakubovich, V. A. (1973). Minimization of quadratic functionals under the quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems. Soviet Math. Dokl., 14, 593-597.
15. Zhou, T. and H. Kimura (1993). Input-output extrapolation-minimization theorem and its application to model validation and robust identification. In R. Smith and M. Dahleh (Eds), The Modeling of Uncertainty in Control: Proceedings of the 1992 Santa Barbara Workshop, pp. 127-138. Springer-Verlag, London.