Tìm kiếm theo cụm từ
Chi tiết
Tên Unknown input fractional-order functional observer design for one-side Lipschitz time-delay fractional-order systems
Lĩnh vực Toán học
Tác giả Mai Viet Thuan, Dinh Cong Huong, Nguyen Huu Sau, Quan Thai Ha
Nhà xuất bản / Tạp chí Transactions of the Institute of Measurement and Control Tập 41 Số 15 Năm 2019
Tóm tắt nội dung

This paper addresses the problem of unknown input fractional-order functional state observer design for a class of fractional-order time-delay nonlinear systems. The nonlinearities consist of two parts where one part is assumed to satisfy both the one-sided Lipschitz condition and the quadratically inner-bounded condition and the other is not necessary to be Lipschitz and can be regarded as an unknown input, making the wider class of considered nonlinear systems. By taking the advantages of recent results on Caputo fractional derivative of a quadratic function, we derive new sufficient conditions with the form of linear matrix inequalities (LMIs) to guarantee the asymptotic stability of the systems. Four examples are also provided to show the effectiveness and applicability of the proposed method.