Non-asymptotic Observer Design for Nonlinear Systems Based on Linearization

Autor: Korder, Kristina, Noack, Matti, Reger, Johann
Rok vydání: 2022
Předmět:
Popis: In the related paper, a new approach for alinearization based algebraic state observer design is established. To receive a linear input-output relation of the nonlinear system for the state observer and to avoid the necessity of time-derivatives of the measurement and actuator signals, a combination of linearization with the modulating function technique is applied. The estimates are obtained non-asymptotically using a sliding time window of finite length. This procedure allows a continuous-time and recursive update of the state estimates and extends the possible applications of the modulating function technique to a wider range of nonlinear systems. The class of unitary modulating functions is introduced to ensure the solvability of the estimation problem when subject to time-varying coefficients generated from the linearized state trajectory. Two examples illustrate the real-time capability of the algorithm.
Databáze: OpenAIRE