New Results on H∞ Control for Nonlinear Conformable Fractional Order Systems |
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作者姓名: | MAI Viet Thuan NGUYEN Thi Huyen Thu NGUYEN Huu Sau NGUYEN Thi Thanh Huyen |
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作者单位: | Department for Management of Science and Technology Development;Faculty of Mathematics and Statistics;Faculty of General Science;Faculty of Fundamental Science;Department of Mathematics and Informatics |
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基金项目: | supported by Ministry of Education and Training of Vietnam(B2020-TNA-13)。 |
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摘 要: | This paper deals with H∞ control problem for nonlinear conformable fractional order systems. The authors 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∞ control problem for nonlinear conformable fractional order systems, the authors study H∞ performance analysis and H∞ 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∞ performance γ. An explicit expression for state feedback controllers is also designed to make the closed-loop system is exponentially stable with H_∞performance γ. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results.
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关 键 词: | Conformable fractional-order H∞control problems H∞performance analysis linear matrix inequalities nonlinear systems |
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