Functional observer design for nonlinear systems with incremental quadratic constraints

Yujie Zhao, Xiushan Cai, Cong Lin, Junfeng Zhang and Leipo Liu

International Journal of Systems Science, 2021, vol. 52, issue 5, 1097-1105

Abstract: We present a functional observer design method for a class of nonlinear systems with output nonlinearities and incremental quadratic constraints. The system under consideration includes a wider class of nonlinear systems, such as, Lipschitz, one-sided Lipschitz, nondecreasing nonlinearity system as special cases. Based on Moore–Penrose pseudo-inverse and linear matrix inequality theory, the existence conditions of gain matrices of a functional observer are obtained. Moreover, exponential convergence of the estimate errors is achieved. Through the Lorenz system, it is shown that the proposed approach provides a smaller order of observer than that of the conventional approaches, while maintaining satisfactory performances.

Date: 2021
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DOI: 10.1080/00207721.2020.1854895

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