Abstract
A new method of parameter tuning is introduced which generates as outputs not only tuned parameters, but also the first n time derivatives of each parameter, n being a prespecified positive integer. It is shown that the algorithm can be used together with a suitably defined identifier-based parameterized controller to adaptively stabilize any member of a specially structured family of nonlinear systems.
This research was supported by the National Science Foundation under grant number ECS-9012551
Preview
Unable to display preview. Download preview PDF.
References
S. Sastry and A. Isidori, “Adaptive Control of Linearizable Systems,” IEEE Trans. Auto. Control, AC-34, Nov. 1989, pp. 1123–1131.
R. Marino, I. Kanellakopoulos and P. V. Kokotovic, “Adaptive Tracking for Feedback Linearizable Systems,” Proc. 28th CDC, Tampa, 1989, pp. 1002–1007.
L. Praly, G. Bastin, J.-B Pomet and Z. P. Jiang, “Adaptive Stabilization of Nonlinear Systems”, Ecole Nationale Superieure des Mines de Paris Technical Report No. A236, October, 1990
S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence and Robustness, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1989.
I. Kanellakopoulos, P. V. Kokotovic and A. S. Morse, “Systematic Design of Adaptive Controllers for Feedback Linearizable Systems,” IEEE Trans. Auto. Conirol, to appear.
I. Kanellakopoulos, P. V. Kokotovic and A. S. Morse, “Adaptive Output-Feedback Control of Systems with Output Nonlinearities,” Foundations of Adaptive Control, Springer-Verlag, Berlin, 1991.
R. Marino and P. Tomei, “Global Adaptive Observers and Output-feedback Stabilization for a Class of Nonlinear Systems, Foundations of Adaptive Control, Springer-Verlag, Berlin, 1991.
Z. P. Jiang and L. Praly, “Iterative Designs of Adaptive Controllers for Systems with Nonlinear Integrators,” Proc. 1991 IEEE CDC, submitted.
I. Kanellakopoulos, P. V. Kokotovic and A. S. Morse, “Adaptive Output-Feedback Control of a Class of Nonlinear Systems,” Coordinated Science Laboratory Technical Report DC-131, submitted for publication.
D. R. Mudgett, Problems in Parameter Adaptive Control, Yale University Doctoral Dissertation, 1988.
D. R. Mudgett and A. S. Morse, “High-Order Parameter Adjustment Laws for Adaptive Stabilization,” Proc. 1987 Conference on Information Sciences and Systems, March, 1987.
A. S. Morse, “Towards a Unified Theory of Parameter Adaptive Control-Part 2: Certainty Equivalence and Implicit Tuning,” IEEE Trans. Auto. Control, to appear.
A. S. Morse, “High-Order Parameter Tuners for the Adaptive Control of Linear and Nonlinear Systems” Proc. U. S.-Italy Joint Seminar on Systems, Models, and Feedback: Theory and Applications,” Capri, 1992.
A. S. Morse, “A 4(n + 1)-Dimensional Model Reference Adaptive Stabiliser for any Relative Degree One or Two Minimum Phase System of Dimension n or Less,” Automatica, v. 23, 1987, pp. 123–125.
A. Feuer and A. S. Morse, “Adaptive Control of Single-Input, Single-Output Linear Systems,” IEEE Trans. Auto. Control, AC-23, August, 1978, pp. 557–569.
D. R. Mudgett and A. S. Morse, “Adaptive Stabilization of Linear Systems with Unknown High-Frequency Gains,” IEEE Trans. Auto Control, AC-30, June, 1985, pp.549–554.
M. A. Aizerman and F. G. Gantmacher, Absolute Stability of Regulator Systems, Holden-Day, 1964, p.58.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag
About this paper
Cite this paper
Morse, A.S. (1992). High-order parameter tuners for the adaptive control of nonlinear systems. In: Davisson, L.D., et al. Robust Control. Lecture Notes in Control and Information Sciences, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0114659
Download citation
DOI: https://doi.org/10.1007/BFb0114659
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55961-0
Online ISBN: 978-3-540-47320-6
eBook Packages: Springer Book Archive