带有输入饱和的化工聚合过程抗干扰跟踪控制

Anti-disturbance tracking control of chemical polymerization processes with input saturation

针对一类典型的化工乳液聚合过程,研究其同时存在执行器饱和以及外部干扰情况下的抗干扰形状分布控制问题.首先,结合乳液聚合过程的动力学特性进行建模得到目标粒径分布函数,再利用样条函数逼近目标的粒径分布,建立输出粒径分布函数和权系数间的动态关系,并分析存在外部干扰和执行器饱和限制下的系统动态性能;其次,引入凸包表示法对执行器饱和进行处理,利用干扰观测器观测未知干扰,设计PI控制输入实现对权重的动态跟踪;最后,基于Lyapunov方法计算控制增益和扰动观测器增益,验证系统的稳定性,使其动态跟踪误差趋于零.通过对一类乳液聚合模型进行仿真,验证了该算法的可行性和有效性.

In this paper,a research on anti-disturbance shape distribution control algorithm under the condition of both actuator saturation and external disturbance is launched for a typical chemical emulsion polymerization process.Firstly,the dynamic characteristics of the emulsion polymerization process are modeled to obtain the target particle size distribution function.Then,the spline function is used to approximate the target particle size distribution,and the dynamic relationship between the output particle size distribution function and the weight coefficient is established.Next,the dynamic performance of the system with external disturbance and actuator saturation constraints is analyzed.Besides,the convex hull representation is introduced to deal with the saturation of the actuator,and the disturbance observer is used to observe the unknown disturbance.PI control input is designed to realize the dynamic tracking of the weight.Finally,the control gain and disturbance observer gain are calculated based on Lyapunov method to verify the stability of the system and make the dynamic tracking error converge to zero.The feasibility and effectiveness of the proposed algorithm are verified by the simulation of a kind of emulsion polymerization model.