不确定严格反馈非线性系统的模糊自适应事件触发控制

For a class of strict-feedback uncertain nonlinear systems with limited bandwidth, and the corresponding uncertain nonlinear systems with actuator faults, this project will utilize the theory of fuzzy systems to model and learn the nonlinear uncertainties with event sampled state vector. On the basis of the fuzzy modeling or learning, this project will study some adaptive predictive models and fuzzy state observers design methods. Based on the proposed adaptive predictive models and fuzzy state observers, and combining the adaptive backstepping design technique, multiple model adaptive control technique and switched control theory, some event-triggered fuzzy adaptive state feedback and output feedback control schemes and algorithms will be developed, respectively. By using the Lyapunov function for impulsive dynamical systems, the stability of the closed-loop systems and the related convergence will be studied based on the adaptive trigger condition. The results proposed by this project can further extend the theory on fuzzy nonlinear adaptive control and also is of importance to improve the utilization efficiency of communication resources in the networked control systems.

针对一类带宽受限的严格反馈不确定非线性网络控制系统以及相应的含有执行器故障的严格反馈非线性网络控制系统，应用模糊系统理论对非线性系统进行建模或学习，分别研究基于事件采样状态的自适应模型和模糊状态观测器的设计方法；应用所提出的自适应模型和模糊状态观测器，并结合自适应反步递推设计技术、多模型自适应控制技术和切换控制理论，分别研究基于自适应事件触发的模糊自适应状态反馈和输出反馈控制设计策略和方法；基于所提出的自适应事件触发机制，应用脉冲系统李雅普诺夫稳定性理论，研究闭环系统的稳定性、收敛性等理论问题，获得高水平的理论研究成果。该项目的研究不仅可以拓展模糊自适应控制理论，而且对提高通信资源利用的效率具有十分重要的理论意义和工程价值。