Abstract
For the class of uncertain nonlinear controllable systems, the notion of a robust H ∞-norm is introduced. An efficient procedure of obtaining double-ended estimates for a minimum robust H ∞-norm in the class of nonlinear feedback loops is stated. An example is given of the system for which the obtained estimates coincide with one another and with a minimum robust norm.
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REFERENCES
Doyle, J.C., Glover, K., Khargoneker, P.P. et al., State-Space Solutions to Standard H 2 and H ∞ Control Problems, IEEE Trans. Autom. Control, 1989, vol. 34, no.8, pp. 831-847.
Kwakernaak, H., Robust Control and H ∞-Optimization, Automatica, 1993, vol. 29, no.2, pp. 255-273.
Balandin, D.V., Limiting Possibilities of Control of Linear Systems and the Estimate of a Minimum H ∞-Norm, Izv. Ross. Akad. Nauk, Teor., Sist. Upravlen., 2001, no. 6, pp. 50-56.
Balandin, D.V. and Kogan, M.M., The Estimate of Limiting Possibilities of the Robust H ∞-Control of Linear Uncertain Systems, Avtom. Telemekh., 2002, no. 9, pp. 134-141.
Barabanov, A.E. and Pervozvanskii, A.A., Optimization in Uniform-Frequency Indices, Avtom. Telemekh., 1992, no. 9, pp. 3-32.
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Balandin, D.V., Kogan, M.M. Double-Ended Estimates of a Minimum Robust H ∞-Norm for Uncertain Controllable Systems. Automation and Remote Control 64, 95–103 (2003). https://doi.org/10.1023/A:1021828509623
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DOI: https://doi.org/10.1023/A:1021828509623