Adaptive fuzzy H∞ stabilization for a class of nonlinear time-delay systems
- Resource Type
- Conference
- Authors
- Shanqiang Li; Dongyan Chen
- Source
- 2008 7th World Congress on Intelligent Control and Automation Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on. :3368-3373 Jun, 2008
- Subject
- Robotics and Control Systems
Computing and Processing
Nonlinear systems
Fuzzy systems
Adaptive systems
Gain
Artificial neural networks
Robustness
Control systems
adaptive control
fuzzy systems
nonlinear system
time delay
- Language
In this paper, both indirect and direct adaptive fuzzy controllers with variable structure system (VSS) and H ∞ performance are proposed for a class of nonlinear time-delay systems with unknown dynamics nonlinearities and external disturbances. It is assumed that the unknown nonlinear function of state-delays is bounded by a high-order function with unknown gains. An adaptive fuzzy controller design method is developed by using fuzzy logic systems to approximate unknown nonlinearities of the system dynamics, by using appropriate Lyapunov-Krasovskii functions to compensate for unknown time-delays and by combining VSS and H ∞ control techniques. Furthermore, it is proved that the proposed design method can guarantee that all signals of the closed-loop system are uniformly ultimately bounded (UUB) and the robust H ∞ performance is achieved. Finally, simulation examples are given to illuminate the effectiveness of the proposed approaches.