Adaptive observers and parameter estimation for a class of systems nonlinear in the parameters
Copyright policy )Adaptive observers and parameter estimation for a class of systems nonlinear in the parameters
We consider the problem of asymptotic reconstruction of the state and parameter values in systems of ordinary differential equations. A solution to this problem is proposed for a class of systems of which the unknowns are allowed to be nonlinearly parameterized functions of state and time. Reconstruction of state and parameter values is based on the concepts of weakly attracting sets and non-uniform convergence and is subjected to persistency of excitation conditions. In absence of nonlinear parametrization the resulting observers reduce to standard estimation schemes. In this respect, the proposed method constitutes a generalization of the conventional canonical adaptive observer design.
Preliminary version is presented at the 17-th IFAC World Congress, 6-11 Seoul, 2008
Observability, Systems and Control (eess.SY), Dynamical Systems (math.DS), 93B30, 93B07, 34D05, 34D45, Electrical Engineering and Systems Science - Systems and Control, Quantitative Biology - Quantitative Methods, Attractors of solutions to ordinary differential equations, Adaptive observers, Adaptive control/observation systems, Optimization and Control (math.OC), FOS: Biological sciences, adaptive observers, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, nonlinear parametrization, weakly attracting sets, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Control/observation systems governed by ordinary differential equations, Quantitative Methods (q-bio.QM)
Observability, Systems and Control (eess.SY), Dynamical Systems (math.DS), 93B30, 93B07, 34D05, 34D45, Electrical Engineering and Systems Science - Systems and Control, Quantitative Biology - Quantitative Methods, Attractors of solutions to ordinary differential equations, Adaptive observers, Adaptive control/observation systems, Optimization and Control (math.OC), FOS: Biological sciences, adaptive observers, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, nonlinear parametrization, weakly attracting sets, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Control/observation systems governed by ordinary differential equations, Quantitative Methods (q-bio.QM)
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