Functional observer design for nonlinear systems with incremental quadratic constraints. Issue 5 (4th April 2021)

• Record Type: Journal Article
• Authors: Zhao, Yujie; Cai, Xiushan; Lin, Cong; Zhang, Junfeng; Liu, Leipo
• Is Part Of: International journal of systems science. Volume 52:Issue 5(2021)
• Page Start: 1097
• Page End: 1105
• Publication Date: 2021-04-04
• Subjects: Functional observer -- Moore–Penrose pseudo-inverse -- incremental quadratic constraints -- nonlinear systems; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1854895
• Languages: English
• ISSNs: 0020-7721

Abstract

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.