New Results on H∞ Control for Nonlinear Conformable Fractional Order Systems

• 作 者: MAI Viet Thuan NGUYEN Thi Huyen Thu NGUYEN Huu Sau NGUYEN Thi Thanh Huyen
• 机 构: Department for Management of Science and Technology Development,Ton Duc Thang University,Ho Chi Minh
• 出 处: 系统科学与复杂性学报（英文版）
• 发表日期: 2021年1期
• 关键词: Conformable fractional-order H∞ control problems H∞ performance analysis linear

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 con-formable 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∞ perfor-mance 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.