Adaptive neural control of MIMO nonlinear time-varying delay systems with minimum adjustable parameters

作者：Zhou Shujie; Xu Lijuan; Zhang Tianping^*

来源：Journal of Computational Information Systems, 2010, 6(12): 3977-3985.

• Adaptive Control
• Adaptive control schemes
• Adaptive neural control
• Adaptive parameters
• Adjustable parameters
• Boundness
• Control algorithms
• Control gains
• Dead-zone
• Design method
• Lyapunov-Krasovskii functionals
• Nonlinear functions
• Semi-global
• Simulation result
• Sliding modes
• Time varying delay systems
• Time-varying delay
• Unknown disturbance
• Unknown time-varying delays

Based on the principle of variable structure control, an improved adaptive control scheme is proposed for a class of more general uncertain MIMO nonlinear time-varying delay systems with unknown disturbances and nonlinear dead-zones. Neural networks are utilized to approximate the unknown nonlinear functions in the design. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals. The restrictions of the control gains are relaxed by utilizing the quadratic-type Lyapunov functions. Only one adaptive parameter needs to be adjusted in each subsystem, and the complexity of control algorithm is reduced. It is proved that the proposed design method is able to guarantee semi-global uniform ultimate boundness of all the signals in the closed-loop system. Finally, simulation results are presented to illustrate the effectiveness of the proposed approach.

• 出版日期2010