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Tên New results on H_{\infty} control for nonlinear conformable fractional order systems
Lĩnh vực Toán học
Tác giả Mai Viết Thuận, Nguyen Thi Huyen Thu, Nguyen Huu Sau, Nguyen Thi Thanh Huyen
Nhà xuất bản / Tạp chí Journal of Systems Science and Complexity (SCIE) Năm 2019
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This paper deals with H_{\infty} control problem for nonlinear conformable fractional order systems. We first derive new sufficient condition for exponential stability of nonlinear conformable fractional order systems based on Lyapunov-like function method for conformable fractional order systems and linear matrix inequalities (LMIs) approach. Then, by introducing a new concepts of H_{\infty} control problem for nonlinear conformable fractional order systems, we study H_{\infty} performance analysis and H_{\infty} state feedback controller design problems for the considered systems. In terms of LMIs, a sufficient condition is proposed to ensure the nonlinear conformable fractional order systems are not only exponentially stable, but also satisfy H_{\infty} performance. An explicit expression for state feedback controllers is also designed to make the closed-loop system is exponentially stable with H_{\infty} performance. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results