Global stabilisation of high-order non-linear systems with time-varying delays

作者：Gao Fangzheng^*; Yuan Fushun; Wu Yuqiang

来源：IET Control Theory and Applications, 2013, 7(13): 1737-1744.

DOI：10.1049/iet-cta.2013.0435

• asymptotic stability
• closed loop systems
• continuous systems
• control nonlinearities
• delay systems
• Lyapunov methods
• nonlinear control systems
• state feedback
• time-varying systems
• global asymptotic stability
• high-order nonlinear system
• time-varying delay
• system nonlinearities
• power integrator
• continuous state-feedback controller
• closed-loop system
• LyapunovaEuro" Krasovskii functional

Under the weaker condition on the system non-linearities, this study investigates the problem of global stabilisation by state feedback for a class of high-order non-linear systems with time-varying delays. By using the method of adding a power integrator, a continuous state-feedback controller is successfully designed, and the global asymptotic stability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach.

• 出版日期2013-9-5
• 单位曲阜师范大学; 安阳师范学院