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A complicated version of a robust control scheme. (English) Zbl 0804.93010
Summary: A new robust control design is introduced. The worst cases of controlled system performance and control magnitude are both investigated. Their comparison with early counterparts is also made.

##### MSC:
 93B35 Sensitivity (robustness) 93C05 Linear systems in control theory 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory
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##### References:
 [1] Corless, M., andLeitmann, G.,Deterministic Control of Uncertain Systems, Modelling and Adaptive Control, Edited by C. I. Byrnes and A. Kurzhanski, Lecture Notes in Control and Information Sciences, Springer-Verlag, New York, New York, Vol. 105, pp. 108–133, 1988. [2] Corless, M. J., andLeitmann, G.,Continuous State Feedback Guaranteeing Uniform Ultimate Boundedness for Uncertain Dynamic Systems, IEEE Transactions on Automatic Control, Vol. 26, pp. 1139–1143, 1981. · Zbl 0473.93056 [3] Barmish, B. R., Corless, M., andLeitmann, G.,A New Class of Stabilizing Controllers for Uncertain Dynamical Systems, SIAM Journal of Control and Optimization, Vol. 21, pp. 246–255, 1983. · Zbl 0503.93049 [4] Corless, M., andLeitmann, G,Adaptive Control of Systems Containing Uncertain Functions and Unknown Functions with Uncertain Bounds, Journal of Optimization Theory and Applications, Vol. 41, pp. 155–168 1983. · Zbl 0497.93028 [5] Chen, Y. H.,A New Matching Condition for Robust Control Design, Proceedings of the 1993 American Control Conference, San Francisco, California, pp. 122–126, 1993. [6] Chen, Y. H.,Adaptive Robust Control System Design Using Information Related to the Bound of Uncertainty, Control Theory and Advanced Technology, Vol. 7, pp. 31–53, 1991. [7] Ambrosino, G., Celentano, G., andGarofalo, F.,Robust Model Tracking for a Class of Nonlinear Plants, IEEE Transactions on Automatic Control, Vol. 30, pp. 275–279, 1985. · Zbl 0558.93068 [8] Garofalo, F., andLeitmann, G.,Guaranteeing Ultimate Boundedness and Exponential Rate of Convergence for a Class of Nominally Linear Uncertain Systems, Journal of Dynamic Systems, Measurement, and Control, Vol. 111, pp. 584–589, 1989. · Zbl 0714.93013
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