工业过程广义稳态研究

Research on the Generalized Steady State for Industrial Processes

基于混沌现象普遍存在于各类非线性动力学系统中这一事实，针对工业过程中出现的平衡（常值）态、周期态、拟周期态和混沌态等稳态行为，提出了广义稳态的概念，并根据微分动力系统理论，对此给出了一种统一的数学描述；另一方面，就广义稳态的存在性问题进行了深入的分析，证明了非线性系统在满足较宽的条件下，其广义稳态的存在．仿真结果表明，文中给出的广义稳态定义是正确和恰当的．

Chaotic phenomena widespreadly exist in various types of nonlinear dynamic systems. In view of that there are several kinds of steady state which are constant, periodic, quasiperiodic and chaotic steady state in the industrial processes, a concept of generalized steady state is proposed and a stringent definition about it is given. Furthermore, the existence of the generalized steady state has been deeply discussed, and it is also proved that the generalized steady state exists when the nonlinear system satisfies some conditions. The simulation shows that the definition about generalized steady state is correct and suitable.