Journal
AUTOMATICA
Volume 152, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2023.110953
Keywords
Non-asymptotic and robust estimation; method; Linear singular system; State estimation; Derivative estimation; Auxiliary modulating dynamical systems; Error analysis
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In this paper, an innovative non-asymptotic and robust estimation method based on auxiliary modulating dynamical systems is introduced. The method is applied to estimate the states and the output's derivatives for linear singular systems with multiple inputs and outputs in noisy environment. The considered system is transformed into a form similar to the Brunovsky's observable canonical form and algebraic integral formulas are obtained. The proposed method's performance is illustrated through numerical simulations.
In this paper, we aim to introduce an innovative non-asymptotic and robust estimation method based on the observable canonical form by means of a set of auxiliary modulating dynamical systems. The latter auxiliary systems are given by the controllable canonical form with zero initial condition. The proposed method can be applied to many kinds of linear and nonlinear systems. In this paper, it is applied to estimate the states and the output's derivatives for linear singular systems with multiple inputs and multiple outputs in noisy environment. First, the considered singular system is transformed into a form similar to the Brunovsky's observable canonical form with the injection of the inputs' and outputs' derivatives. Second, algebraic integral formulas are obtained both for the state variables and the outputs' derivatives. After giving solutions of the required auxiliary systems, error analysis in discrete noisy case is addressed, where a provided noise error bound can be used to select design parameters. In the end, numerical simulations are given to illustrate the performance of the proposed method.(c) 2023 Elsevier Ltd. All rights reserved.
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