Abstract
We consider a quadratic performance' index and a perturbed linear system with system matrices varying in a given polytope in the matrix space. We present a method for finding the guaranteed cost control with the minimal bound of the quadratic index value. Presented technique may be used for the design of the robustly stabilizing feedback control.
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References
Anderson B.D.O., Moore J.B., Linear Optimal Control, NY 1979
Badr R.I., Hassan M.F., Bernussou J., Bilal A.Y., IEE Proc., Vol. 135, Pt. D, 1988, 223–231
Chang S.S.L., Peng T.K.C., IEEE Trans., vol. AC-17, 1972, 474–483
Goh C.J., Teo K.L., Jour. of Optimization Theory and Applications, vol. 57, 1988, 59–68
Kosmidou O.I., Bertrand P., Int. J. Control, 1987, vol. 45, 927–938
Liou C.T., Yang C.T., Int. J. Control, 1987, vol. 45, 2161–2171
Mori T., Kokame H., Int. J. Control, 1988, vol. 47, 363–372
Polak E., Mayne D.Q., SIAM J. on Control and Optimization, 1985, vol. 23, 477–491
Polak E., Wardi Y.Y., Automatica, 1982, vol. 18, 267–283
Peng T.K.C., SIAM J. Control, 1972, vol. 10, 679–690
Safonow M.G., Stability and Robusiness of Multivariable Feedback Systems, The MIT Press, Cambridge MA, London 1980
Scherzinger B.M., Int. J. Control, 1984, vol. 40, 1015–1022
Schittkowski K., Operations Research Annals, vol. 5, 1985
Vinkler A., Wood L.J., J. Guidance and Control, 1979, vol. 2, 449–456
Wang S.D. et al., Int. J. Control, 1987, vol. 46, 1557–1567
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© 1990 International Federation for Information Processing
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Kabziński, J. (1990). Guaranteed cost control of linear polytope systems. In: Sebastian, H.J., Tammer, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008380
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DOI: https://doi.org/10.1007/BFb0008380
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