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Joint state and parameter estimation of non-linearly parameterized discrete-time nonlinear systems. (English) Zbl 1406.93152

Summary: Simultaneous state and parameter estimation of nonlinear discrete-time systems is addressed. The developed procedure is dedicated to Multiple-Input Multiple-Output (MIMO) bounded-state nonlinear systems subject to either linear or nonlinear parametrization. It is shown that under the persistent excitation condition the unmeasured states along with the system parameters can be reproduced asymptotically if the upper and the lower bounds of the system states are assumed to be known. The existence of the observer gain is conditioned by the solvability of a Linear Matrix Inequality (LMI). Simulation results are provided to highlight the efficacy of the developed theoretical results.

MSC:

93C35 Multivariable systems, multidimensional control systems
93C55 Discrete-time control/observation systems
93C10 Nonlinear systems in control theory
93C41 Control/observation systems with incomplete information
90C25 Convex programming
93E10 Estimation and detection in stochastic control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
74M10 Friction in solid mechanics
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