Nonlinear averaging theorems, and the determination of parameter convergence rates in adaptive control |
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| Authors: | Marc Bodson Shankar SastryBrian D. O. Anderson Iven Mareels Robert R. Bitmead |
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| Affiliation: | 1. Department of Electronics & Instrumentation Engineering, National Institute of Technology, NIT Road, Fakiratilla, Silchar-788 010, Assam, India |
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| Abstract: | The paper presents nonlinear averaging theorems for two-time scale systems, where the dynamics of the fast system are allowed to vary with the slow system. The results are applied to the Narendra-Valavani adaptive control algorithm, and estimates of the parameter convergence rates are obtained which do not rely on a linearization of the system around the equilibrium, and therefore are valid in a larger region in the parameter space. |
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| Keywords: | Adaptive control Model reference Parameter convergence rates Averaging Stability analysis Nonlinear systems |
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