多阶段间歇过程无穷时域优化线性二次容错控制

Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process

针对具有输入时滞的多阶段间歇过程,考虑执行器故障影响,提出了无穷时域优化混杂容错控制器设计方法。该方法首先将给定具有输入时滞的模型转化为新的无时滞的状态空间模型,接着再将此模型转换为包含状态变量误差和输出跟踪误差的扩展状态空间模型,并用切换系统模型表示,然后引入有限时域的二次目标函数,利用最优控制理论,设计出在无穷时域中容错控制器。为获得最小运行时间,针对不同阶段设计依赖于Lyapunov函数的驻留时间方法。创新之处在于,控制律设计简单,计算量小,且每一阶段时间求取不需要引用任何其他变量,简单易行。最后,以注塑成型过程为例,仿真结果证明所提出方法具有可行性和有效性。

A hybrid fault-tolerant controller with infinitely adjustable time-domain parameters is designed to ensure fault-tolerant control performance.Firstly a multi-phase state space model by acquiring input and output data is established,and further the state space model is into transformed an extended state space model containing state variables and output tracking errors,and the switched system model is used to represent it,so as to design the controller in an infinite horizon.Then,to obtain the minimum running time,the dwell time method depending on the Lyapunov function is proposed for different stages.Finally,taking the injection molding process as an example,the system simulation is carried out.The simulation shows that the proposed method is feasible and effective.