Abstract
The popular model reference adaptive control (MRAC) technique is extended to the case of two nonlinear dynamical systems mutually tracking and/or avoiding each other in a specified sense, subject to bounded uncertainty of their parameters (MURAC). The error equation approach classical in MRAC is replaced by a different approach which may be called the product-state-space method. Signal adaptive feedback controllers and adaptive laws are proposed together with sufficient conditions for the required tracking and avoidance. Application to a mechanical system illustrates the results.
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References
Landau, I.D., Adaptive Control, M. Dekker, New York, 1979.
Balestrino, A., De Maria, G. and Sciavicco, L., An adaptive model following control for robotic manipulators, Trans. ASME, J. Dyn. Syst. Meas. Control 105 (1985), 3.
Dubovsky, S. and DesForges, D.I., The application of model referenced adaptive control to robotic manipulators, Trans. ASME., J. Dyn. Syst. Meas. Control 101 (1979), 3.
Singh, S.N., Adaptive model following of nonlinear robotic systems, IEEE Trans. Autom. Control AC-30 (1985), 1.
Skowronski, J.M., Nonlinear model reference adaptive control, J. Australian Math Soc., Series B, Applied Math. 28 (1986), 147–157.
Skowronski, J.M., Liapunov type playability for adaptive physical systems, Proc. Nat. System Conf., Combaitore PSG-College of Technology, India Section Q11 (1977), 1–5.
Skowronski, J.M., Algorithms for adaptive control of two arm flexible manipulator under uncertainty, IEEE Trans. Aerospace & Elec. Systems AES 24 (1988), 5.
Skowronski, J.M., Control Theory of Robotic Systems, World Scientific Publ., New Jersey — Singapore, 1990.
Filippov, A.F., Existence of solutions of generalized differential equations, Math. Notes 10 (1971), 608–611.
Yoshizawa, T., Stability Theory by Liapunov Second Method, Publ. Math. Soc., Japan, Tokyo, 1966.
Leitmann, G. and Skowronski, J.M., Avoidance Control, J. Opt. Th. Applic. 23 (1977), #4, 581–591.
Skowronski, J.M., Control Dynamics of Robot Manipulators, Academic Press, 1986.
Skowronski, J.M., Control of Nonlinear Mechanical Systems, Plenum, New York, 1991.
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© 1992 Springer-Verlag
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Skowronski, J.M. (1992). Mutual reference adaptive control of nonlinear uncertain systems. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004314
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DOI: https://doi.org/10.1007/BFb0004314
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