Abstract
In this paper we consider two aspects of adaptive control. Firstly we assume that the unknown plant is linear and examine the effect of a strict inequality constraint on the control. Secondly we study the convergence properties of restricted complexity adaptive controllers when applied to nonlinear systems. Basically we are able to show that if the controller is capable of satisfactorily controlling the system then the adaptive version will find a satisfactory controller.
Work supported by Radio Research Board, Australian Research Grants Committee, and National Energy Research Development & Demonst. Council
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References
Y.Z. Tsypkin, "Adaption, training and self-organizing in automatic systems", Automation and Remote Control, Vol. 27, pp. 16–51, January 1966.
Y.D. Landau, Adaptive Control — The Model Reference Approach, Marcel-Dekker Inc., 1979.
K. Astrom and B. Wittenmark, "On Self-tuning regulators", Automatica, Vol. 9, pp. 185–198, March 1973.
B. Egardt, Stability of Adaptive Controllers, Springer-Verlag, 1979.
G.C. Goodwin, P. Ramadge and P. Caines, "Discrete Time Multivariable Adaptive Control:. IEEE Trans. Autom. Control, June 1980.
G.C. Goodwin and K.S. Sin, "Adaptive Control of Non-Minimum Phase Systems". To appear IEEE Trans. Autom. Control, 1980.
R. Betz, "Digital Control of a Cycloconverter". M.E. Thesis, University of Newcastle (in preparation).
G.C. Goodwin, C.R. Johnson and K.S. Sin, "Global Convergence of Adaptive One-Step-Ahead Optimal Controllers". University of Newcastle Technical Report EE8006, February 1980.
E. Robinson, Random Wavelets and Cybernetic Systems, Griffiths, 1961.
R.J. Evans, A. Cantoni and T.E. Fortmann, "Envelope-Constrained Filters II: Adaptive Structures". IEEE Trans. Inform. Theory, Vol. IT-23, No. 4, July 1977, pp. 435–444.
G.C. Goodwin, P. Ramadge and P. Caines, "Discrete Time Stochastic Adaptive Control". To appear, SIAM J. Control & Optim.1980.
D.L. Prager and P.E. Wellstead, "Multivariable Pole Assignment Self Tuning", UMIST Control Systems Centre Report No. 452, April 1979.
D.W. Clarke and P.J. Gawthrop, "Self-Tuning Controller". Proc. IEE, 22, pp. 929–934, 1975.
R.J. Evans, "Discrete Time Adaptive Control: Stochastic Results". (In preparation.)
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Evans, R.J., Goodwin, G.C., Betz, R. (1980). Discrete time adaptive control for classes of nonlinear systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004043
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DOI: https://doi.org/10.1007/BFb0004043
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