不确定时滞反应扩散系统的滑动模控制

Sliding mode control for uncertain reaction diffusion systems with delay

借助不等式分析方法研究一类不确定时滞反应扩散系统的滑动模控制问题,设计了滑模控制器。分析了在滑动模切换面上滑动模控制系统关于不确定量的不变性特征,为研究在系统工作环境的变化、降阶近似、线性化近似、测量误差等因素干扰下所建立的实际控制系统的数学模型———不确定时滞分布参数控制系统的鲁棒性问题奠定了理论基础。

The sliding mode control problems for a class of uncertain reaction diffusion systems with delay are investigated by using inequality analysis. This paper designs the sliding mode controller of the uncertain reaction diffusion systems with delay and the invariant characteristic of the sliding mode control system is analyzed. The mathematic model of control system was established, and the model is conditional by the change of the operating enviroment, model reduction, linearzation approximations, unmodeled dynamics, measurement errors. The results provide the theoretical foundation for the robust problems of the uncertain reaction diffusion systems.