随机非线性系统基于事件触发机制的自适应模糊输出反馈控制

This project investigates the adaptive fuzzy output feedback control problem for a class of stochastic nonlinear systems by using backstepping design strategy, optimization control and fuzzy control theories. By expressing the inner link between the choice of event-triggered conditions and the dynamics of stochastic nonlinear systems, the control design and stabilization analysis problems are studied. Firstly, the risk-sensitive function is constructed by using system dynamic model and fuzzy state observer, and the optimal control strategies for stochastic nonlinear strict-feedback systems are given. Secondly, by considering the coupling effects of non-smooth inputs and input-signal-based event-triggered conditions for the stochastic nonlinear systems, the adaptive fuzzy output-feedback control strategy which can suppress or compensate the effect of non-smooth inputs is given, and the criterions of the stability in probability under different triggering conditions are built. Finally, both the constraint conditions and quartic barrier Lyapunov function are considered during the control design and mean-square stability analysis for stochastic nonlinear systems with full state constraints. We establish an important theoretical foundation for the industrial applications of stochastic nonlinear systems by solving the aforementioned problems.

本项目拟针对随机非线性系统基于事件触发机制的自适应模糊输出反馈控制问题，采用反步递推设计方法、优化控制和模糊控制等理论进行深入研究，揭示事件触发条件的选取与随机非线性系统动态特性的内在联系，并在此基础上研究系统的控制设计和稳定性问题。首先，基于系统动态模型和模糊状态观测器构造相应的风险灵敏度指标函数，给出随机非线性严格反馈系统优化控制器的构造方法；其次，针对存在非光滑输入特性的随机非线性系统，基于事件触发机制综合考虑非光滑输入和通过输入信号选取触发条件的耦合影响，研究可以抑制或补偿非光滑输入影响的自适应模糊输出反馈控制器设计方法，建立不同触发条件下系统依概率稳定的判据；最后，针对存在全状态约束特性的随机非线性系统，将约束条件融合在反步控制设计过程中，结合4次障碍Lyapunov函数研究其控制设计及均方稳定性问题。上述问题的解决将为随机非线性系统的实际工业应用奠定重要的理论基础。

本项目研究了随机非线性系统基于事件触发机制的自适应模糊输出反馈控制问题，提出了基于事件触发机制的随机非线性系统自适应模糊控制方法。依托该项目，发表论文20余篇，其中5篇论文如下ESI高被引论文，授权国家发明专利6项，研究成果获黑龙江省自然科学一等奖1项，培养/协助培养硕博士研究生10余名，其中已毕业5名。