Stability of adaptively controlled systems using parameter projection
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In this paper, we describe the key elements that govern the stability of adaptively controlled systems in the presence of unmodeled dynamics and disturbances. We provide a basic introduction to stability analysis techniques and motivate some recent results. A stability analysis for an adaptively controlled plant with nominal relative degree unity in the presence of disturbances and small unmodeled dynamics is presented. A parameter update law with parameter projection and normalization is employed. Recent results, which establish that parameter projection alone is sufficient to ensure robustness, are briefly discussed.