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ADAPTIVE OBSERVERS FOR NONLINEAR SYSTEMS BASED ON DYNAMIC EXTENSION AND MIXING PROCEDURE

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The problem of synthesizing an adaptive observer of state variables of nonlinear dynamic systems is considered. Correct estimation of state vector components under parametric uncertainty is a rather complex process necessary e.g. for solving several problems of systems control and diagnostic. Synthesis of the proposed adaptive observer consists of two steps. In the first one, a parameterization of the nonlinear dynamical system, which can be transformed to a state affine form, is performed. In the second step, the unknown parameters are estimated based on the gradient descent method, and a gradient-based observer for the state variables is designed.

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