The robustness of feedback systems with bounded complexity controllers

IEEE Transactions on Automatic Control

Volumn 41, Issue 6, 1996, Pages 795-803

  Vinnicombe, Glenn ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTATIONAL COMPLEXITY; MATHEMATICAL OPERATORS; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); TRANSFER FUNCTIONS;

BOUNDED COMPLEXITY CONTROLLERS; CLOSED LOOP OPERATOR; FEEDBACK SYSTEMS; ROBUST FEEDBACK CONTROL SYSTEMS;

FEEDBACK CONTROL;

EID: 0030171634     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.506232     Document Type: Article

References (13)

1. ∞ control problems," IEEE Trans. Automat. Contr., vol. 34, no. 8, pp. 831-847, 1989.
2. ∞ design: Properties and applications," Automatica, vol. 27, no. 5, pp. 811-818, 1991.
3. T. T. Georgiou and M. C. Smith, "Optimal robustness in the gap metric," IEEE Trans. Automat. Contr., vol. 35, no. 6, pp. 673-687, 1990.
4. G. C. Hsieh and M. G. Safanov, "Conservatism of the gap metric," IEEE Trans. Automat. Contr., vol. 38, no. 4, pp. 594-597, 1993.
5. ∞-synthesis," IEEE Trans. Automat. Contr., vol. 37, no. 6, pp. 759-769, 1992.
6. L. Qiu and E. J. Davison, "Feedback stability under simultaneous gap metric uncertainties in plant and controller," Syst. Contr. Lett., vol. 18, pp. 9-22, 1992.
7. L. Qiu and E. J. Davison, "Pointwise gap metrics on transfer matrices," IEEE Trans. Automat. Contr., vol. 37, no. 6, pp. 770-780, 1992.
8. 2-gap metric, in Proc. Amer. Contr. Conf., Chicago, 1992, pp. 1133-1137.
9. _, "Robust design in the graph topology: A benchmark example," in Proc. Amer. Contr. Conf., Chicago, 1992, pp. 2063-2064.
10. _, "Frequency domain uncertainty and the graph topology," IEEE Trans. Automat. Contr., vol. 38, no. 9, pp. 1371-1383, 1993.
11. _, "Measuring the Robustness of Feedback Systems," Ph.D. dissertation, Univ. Cambridge, Dept. of Engineering, 1993.
12. G. Zames, "On the metric complexity of causal linear systems: ε-entropy and ε-dimension for continuous ti me," IEEE Trans. Automat. Contr., vol. AC-24, no. 2, pp. 222-230, 1979.
13. G. Zames and A. K. El-Sakkary, "Unstable systems and feedback: The gap metric," in Proc. Allerton Conf., pp. 380-385, 1980.