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Optimality in adaptive control systems

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Book cover Uncertainty and Control

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References

  • Allidina A.Y., Hughes F.M. (1983), A general adaptive scheme. International Journal of Control, vol.38, pp.1115–1120.

    Google Scholar 

  • Aseltine J.A., Manchini A.R., Sarture C.W. (1958),A survey of adaptive control systems. IRE Transactions on Automatic Control, vol.3, pp.102–108.

    Google Scholar 

  • Asher R.B., Andrisani D.II, Dorato P. (1976), Bibliography on adaptive control systems. Proceedings of the IEEE, vol. 64, pp.1226–1240.

    Google Scholar 

  • Åström K.J. (1970), Introduction to Stochastic Control Theory. Academic Press, New York.

    Google Scholar 

  • Åström K.J. (1980), Desicion principles for self-tuning regulators. In Unbehauen H. (Ed.)"Methods and Applications in Adaptive Control", Proceedings of an International Symposium, Bochum, 1980, Springer Verlag, Berlin, pp.1–20.

    Google Scholar 

  • Åström K.J., Borisson U., Ljung L., Wittenmark B. (1977), Theory and application of self-tuning regulators. Automatica, vol.13, pp.457–476.

    Google Scholar 

  • Åström K.J., Wittenmark B. (1973), On self-tuning regulator. Automatica, vol.7, pp. 195–199.

    Google Scholar 

  • Åström K.J., Wittenmark B. (1980), Self-adjusting controller based on pole-zero plassement. IEE Proceedings, vol.127, pt.D, pp.120–130.

    Google Scholar 

  • Åström K.J., Wittenmark B. (1983), Computer controlled systems: theory and design. Prentice Hall Inc., Englewood Cliffs, New Jersey.

    Google Scholar 

  • Caines P.E., Lafortune S. (1984), Adaptive control with recursive identification for stochastic linear systems. IEEE Transactions on Automatic Control, vol.AC-29, pp.312–321.

    Google Scholar 

  • Chang A., Rissanen J. (1968), Regulation of incomplitely identified linear systems. SIAM Journal of Control, vol.6, pp.327–348.

    Google Scholar 

  • Clarke D.W. (1982), Model following and pole-placement self-tuners in Optimal Control Applications and Methods, vol.3, pp.323–335.

    Google Scholar 

  • Clarke D.W., Gawthrop P.J. (1975), Self-tuning controller. Proceedings of the IEE, vol. 122, pp.929–934.

    Google Scholar 

  • Cramer H. (1946), Mathematical methods of statistics. Princeton University Press, Princeton.

    Google Scholar 

  • Cristi R., Monopoli R.V. (1982), Computational aspects of discrete time adaptive control. IEEE Transactions on Automatic Control, vol. 27, pp.722–725.

    Google Scholar 

  • Derevitskiy D.P., Fradkov A.L. (1981), Applied theory of discrete-time adaptive control systems. Nauka, Moscow (in Russian).

    Google Scholar 

  • Donaldson D.P., Kishi J. (1965), Review of adaptive control systems. Theories and Techniques in Modern Control Systems Theory. Ed. C.T.Leondes, N.Y.

    Google Scholar 

  • Egardt B. (1979), Stability of Adaptive Controllers. Springer Verlag, Berlin.

    Google Scholar 

  • Egardt B. (1980), Unification of some discrete-time adaptive control scheme. IEEE Transactions on Automatic Control, vol. 25, pp.693–697.

    Google Scholar 

  • Eveleigh W. (1967), Adaptive Control and Optimization Technik. Mc Graw Hill, New York.

    Google Scholar 

  • Eweda E., Macchi O. (1984), Convergence of an adaptive linear estimation algorithm. IEEE Transactions on Automatic Control, vol.AC-29, pp.119–127.

    Google Scholar 

  • Fomin V.N. (1984), Recurrent estimation and adaptive filtering. Nauka, Moscow (in Russian).

    Google Scholar 

  • Fomin V.N., Fradkov A.L., Yakubovich V.A. (1981), Adaptive control of dynamic plants. Nauka, Moscow (in Russian).

    Google Scholar 

  • Fu Ch.H. (1982), Self-tuning controller and its convergence under correlated noise. International Journal of Control, vol.35, pp.1051–1059.

    Google Scholar 

  • Fuchs J.J. (1982a), Indirect stochastic adaptive control: the general delay-white noise case. IEEE Transactions on Automatic Control, vol.27, pp.219–223.

    Google Scholar 

  • Fuchs J.J. (1982b), Indirect stochastic adaptive control: the general delay-colored noise case. IEEE Transactions on Automatic Control, vol.27, pp.470–472.

    Google Scholar 

  • Gawthrop P.J. (1977), Some interpretation of a self-tuning controller. Proceedings of the IEE, vol. 124, pp.889–894.

    Google Scholar 

  • Goodwin G.C., Payne R.L. (1978), Dynamic systems identification: experiment design and data analysis. Academic Press, New York.

    Google Scholar 

  • Goodwin G.C., Ramadge P.J., Caines P.E. (1980), Discrete-time multivariable adaptive control. IEEE Transactions on Automatic Control, vol. 25, pp.449–456.

    Google Scholar 

  • Goodwin G.C., Ramadge P.J., Caines P.E. (1981), Discrete-time stochastic adaptive control. SIAM Journal of Control and Optimization, vol.19, pp.829–853.

    Google Scholar 

  • Goodwin G.C., Sin K.S. (1984), Adaptive Filtering, Prediction and Control. Prentice Hall, Inc., Englewood Cliffs, New Jercey.

    Google Scholar 

  • Goodwin G.C., Sin K.S., Salnya K.K. (1980), Stochastic adaptive control and prediction. The geheral delay-colored noise case. IEEE Transactions on Automatic Control, vol. 25, No.5, pp.946–980.

    Google Scholar 

  • Hammond P.H. (Editor) (1966), Theory of Self-adapting Control System. Plenum Press, New York.

    Google Scholar 

  • Harris C.J., Billings S.A. (Editors) (1981), Self-tuning and adaptive control. Theory and Application, Peter Peregrinus Ltd, London.

    Google Scholar 

  • IEEE Transactions on Information Theory, 1984, vol.IT-30, No.3, Special Issue on Adaptive Filtering.

    Google Scholar 

  • Ioannou P.A., Kokotovoc P.V. (1983), Adaptive Systems with Reduced Models. Springer Verlag, Berlin.

    Google Scholar 

  • Ionescu T., Monopoli R.W. (1977), Discrete model reference adaptive control with augmented error signal. Automatica, vol. 13, pp. 507–517.

    Google Scholar 

  • Isermann R. (1981), Digital Control Systems. Springer Verlag, Berlin.

    Google Scholar 

  • Isermann R. (1982), Parameter adaptive control algorithms. A tutorial. Automatica, vol. 18, pp.513–528.

    Google Scholar 

  • Johnson C.R. (1980), Input matching error augmentation, self-tuning and output error identification: Algorithmic similarities in discrete adaptive model-following. IEL Transactions on Automatic Control, vol. 25, pp. 697–703.

    Google Scholar 

  • Johnson C.R. (1984), Adaptive IIR Filtering: Current results and open issues. IEEE Transactions on Information Theory, vol.IT-30, pp.237–250.

    Google Scholar 

  • Kalman R.E. (1958), Design of a self-optimizing control systems. Transaction of the ASME, vol.80, pp.468–478.

    Google Scholar 

  • Kel'mans G.K., Poznyak A.S., Chernitser A.V. (1981), Adaptive locally optimal control, International Journal of System Sciences, vol.12, pp.235–254.

    Google Scholar 

  • De Keyser R.M., Van Canwenberghe G.R. (1983), Self-tuning prediction and Control. International Journal of Systems Sciences, vol.16, pp.351–366.

    Google Scholar 

  • Kumar R. (1984), Simultaneous adaptive control and identification via weighted least-square algorithm. IEEE Transactions on Automatic Control, vol. AC-29, pp.259–263.

    Google Scholar 

  • Kumar R., Moore J.B. (1982), Convergence of adaptive minimum variance controllers via weighting coefficient selection. IEEE Transactions on Automatic Control, vol.AC-27, pp.146–153.

    Google Scholar 

  • Kushner H.J., Kumar R. (1982), Convergence and rate of convergence of a recursive identification and adaptive control method which uses truncated estimators. IEEE Transaction on Automatic Control, vol.27, pp. 775–782.

    Google Scholar 

  • Landau I.D. (1974), A survey of model reference adaptive techniques — theory and applications. Automatica, vol. 10, pp.353–379.

    Google Scholar 

  • Landau I.D. (1976), Unbiesed recursive identification using model reference techniques. IEEE Transactions on Automatic Control, vol.AC-21, pp.199–202.

    Google Scholar 

  • Landau I.D. (1979), Adaptive Control. The Model Reference Approach, Marcel Dekker, Inc., New York.

    Google Scholar 

  • Landau I.D. (1981a), Model reference adaptive controllers and stochastic self-tuning regulators — a unified approach. Journal of Dynamic Systems, Measurement and Control, vol. 103, pp.404–416.

    Google Scholar 

  • Landau I.D. (1981b), Combining model reference adaptive controllers and stochastic self-tuning regulators. Automatica, vol.18, pp.77–84.

    Google Scholar 

  • Landau I.D. (1982a), Martingale convergence analysis of adaptive schemes — a feedback approach. IEEE Transactions on Automatic Control, vol. AC.-27, pp.716–719.

    Google Scholar 

  • Landau I.D. (1982b), Near supermartingales for convergence analysis of recursive identifications and adaptive control schemes. International Journal of Control, vol.35, pp.197–226.

    Google Scholar 

  • Landau I.D. (1984), A feedback system approach to adaptive filtering. IEEE Transactions on Information Theory, vol. IT-30, pp.251–262.

    Google Scholar 

  • Landau I.D., Lozano R. (1981), Redesign of explicit and implicit discrete time model reference adaptive control schemes. International Journal of Control, vol.33, pp.247–268.

    Google Scholar 

  • Ljung L. (1977a), On positive real transfer functions and the convergence of some recursions. IEEE Transactions on Automatic Control, vol. 22, pp.539–551.

    Google Scholar 

  • Ljung L. (1977b), Analysis of recursive stochastic algorithms. IEEE Transactions on Automatic Control, vol.AC-22, pp. 551–575.

    Google Scholar 

  • Ljung L., Landau I.D. (1980), Model reference adaptive systems and self-tuning regulators — some connections. Proceedings 7th IFAC Congress, vol. 3, pp.1973–1980, Helsinki.

    Google Scholar 

  • Ljung L., Soderström T. (1983), Theory and practice of recursive identification. The MIT Press Cambridge, Massachusets

    Google Scholar 

  • Ljung L., Trulsson E. (1981), Adaptive control based on explicit criterion minimization. IFAC 8th Triennial World Congress, vol.VII, Kyoto, pp.1–6.

    Google Scholar 

  • Monopoli R.V. (1974), Model reference adaptive control with an angmented error signal. IEEE Transactions on Automatic Control, vol. AC-19, pp.424–484.

    Google Scholar 

  • Mudrov V.I., Kushko V.L. (1976), Measurement processing methods. Sovetskoye Radio, Moscow (in Russian).

    Google Scholar 

  • Narendra K.S. (1980), Recent developments in adaptive control. In Unbehauen H. (Editor) (1980), Methods and Applications in Adaptive Control, Springer Verlag, Berlin, pp.84–101.

    Google Scholar 

  • Narendra K.S., Lin Y.H. (1980), Stable discrete adaptive control. IEEE Transactions on Automatic Control, vol.25, pp.456–461.

    Google Scholar 

  • Narendra K.S., Monopoli R.V. (Editors) (1980), Applications of adaptive control. Academic Press, New York.

    Google Scholar 

  • Narendra K.S., Valavani L.S. (1978), Stable adaptive controller design — direct control. IEEE Transactions on Automatic Control, vol.AC-23, pp.570–583.

    Google Scholar 

  • Narendra K.S., Valavani L.S. (1979), Direct and indirect adaptive control. Automatica, vol.15, pp.653–664.

    Google Scholar 

  • Panuska V. (1968), A stochastic approximation method for identification of linear system using adaptive filtering. Proceedings Joint Automatic Conference, vol.2, pp.451–460.

    Google Scholar 

  • Parks P.S. (1966), Liapunov redesign of model reference adaptive control systems. IEEE Transactions on Automatic Control, vol. AC-11, pp.362–367.

    Google Scholar 

  • Peterka V. (1972), On steady state minimum variance control strategy. Kybernetica, v.8, pp.219–232.

    Google Scholar 

  • Petrov B.N., Rutkovskiy V.Yu., Zemlyakov S.D. (1980), Adaptive coordinate parametric control. Nauka, Moscow (in Russian).

    Google Scholar 

  • Proceedings of the IEEE, Special Issue on Adaptive Systems, 1976, vol. 64, No.8.

    Google Scholar 

  • Rao C.R. (1965), Linear statistical inference and applications. Johns Wiley & Sons, Inc., New York.

    Google Scholar 

  • Saridis G.H. (1974), Stochastic approximation methods for identification and control — a survey. IEEE Transactions on Automatic Control, vol. 19, pp.798–809.

    Google Scholar 

  • Saridis G.N. (1977), Self-organizing control of stochastic systems. Marcel Dekker, New York.

    Google Scholar 

  • Sin K.S., Goodwin G.S. (1982), Stochastic adaptive control using a modified least squares algorithm. Automatica, vol.18, pp.315–321.

    Google Scholar 

  • Solo V. (1979), The convergence of AML. IEEE Transactions on Automatic Control, vol.24, pp.958–963.

    Google Scholar 

  • Sragovich V.G. (1976), Theory of adaptive systems. Nauka, Moscow, (in Russian).

    Google Scholar 

  • Sragovich V.G. (1981), Adaptive control. Nauka, Moscow (in Russian).

    Google Scholar 

  • Stormer R.R. (1959), Adaptive and self-optimizing control systems. IRE Transactions on Automatic Control, vol.3, pp.65–68.

    Google Scholar 

  • Trulsson E. (1983), Adaptive control based on explicit criterion minimization. Dissertation No. 106, Linköping Studies in Science and Technology.

    Google Scholar 

  • Tsypkin Ya.Z. (1971), Adaptation and learning in automatic systems.Academic Press, New York.

    Google Scholar 

  • Tsypkin Ya.Z. (1983), Optimality in identification of linear plants, Int. J. Systems Sci., 1983, vol. 14, No.1, pp. 59–74.

    Google Scholar 

  • Tsypkin Ya.Z. (1984), Fundamentals of information theoretical identification. Nauka, Moscow (in Russian).

    Google Scholar 

  • Unbehauen H. (Editor) (1980), Methods and applications in adaptive control. Proceedings of an International Symposium, Bochum, 1980. Springer Verlag, Berlin-Heidelberg-New York.

    Google Scholar 

  • Unbehauen H., Schmidt Ch.R. (1975), Status and industrial application of adaptive control systems. Automatic Control Theory and Application, vol.3, pp.1–12.

    Google Scholar 

  • Weber W. (1971), Adaptive regelungs systeme I,II,. R.Oldenbourg Verlag, München-Wien.

    Google Scholar 

  • Wellstead P.E., Edmunds J.M., Prager D.L., Zanker P. (1980), Classical and optimal self-tuning control. International Journal of Control, vol.31, pp.1003–1005.

    Google Scholar 

  • Wellstead P.E., Sanoff S.P. (1981), Extended self-tuning algorithm. International Journal of Control, v.34, pp.433–455.

    Google Scholar 

  • Wieslander J., Wittenmark B. (1971), An approach to adaptive control using real time identification. Automatica, vol.7, pp.211–217.

    Google Scholar 

  • Wittenmark B. (1975), Stochastic adaptive control methods (survey). International Journal of Control, vol. 21, pp.705–730.

    Google Scholar 

  • Young P.C. (1966), Process parameter estimation and self-adaptive control. In Hammond P.H. (Editor) (1966), Theory of self-adapting control system, Plenum Press, New York.

    Google Scholar 

  • Young P.C., Hastings-James R. (1981), Identification and control of discrete linear systems. Subject to disturbances with rational spectral density. International Journal of Control, vol. 34, pp.98–121.

    Google Scholar 

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Jürgen Ackermann

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Tsypkin, Y.Z. (1985). Optimality in adaptive control systems. In: Ackermann, J. (eds) Uncertainty and Control. Lecture Notes in Control and Information Sciences, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007284

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