LMI-IMC-PID算法在热工控制中的应用研究

Research of IMC-PID Controller Design Based on LMI in Thermal Engineering System

PID控制器由于其结构简单,鲁棒性较好而被广泛地应用于工业系统中。但在复杂的热工过程中,PID的参数的调整却较为困难,针对上述问题提出了一种基线性矩阵不等式约束的IMC-PID参数整定方法。方法基于内模原理,将控制参数的整定问题转化为一个具有一组LMIs约束的优化问题,使得系统具有较好的跟踪性能和抗干扰性能。系统稳定的约束条件通过劳斯-赫尔维茨(Routh-Hurwitz)稳定判据给出。针对热工系统中常见的系统模型结构,给出了LMI-IMC-PID控制器参数整定的具体方法,最后将上述参数整定法应用于热工控制系统的仿真中,验证了LMI-IMC-PID法整定的控制系统具有较强的鲁棒性。

PID controller is widely used in industrial systems because of its simple structure and good robustness.However,it is difficult to adjust the parameters of PID in complex thermal process.To solve this problem,an IMC-PID parameter tuning method with baseline matrix inequality constraints was proposed in the paper.Based on the internal model theory,the control parameter tuning problem was transformed into an optimization problem with a set of LMIs constraints,which enables the system to have better tracking performance and anti-jamming performance.The stability constraints of the system were given through the Routh Routh-Hurwitz criterion.Aiming at the common system model structure in thermal system,the specific method of parameter tuning of LMI-IMC-PID controller was given.Finally,the parameter tuning method was applied to the simulation experiment of thermal control system,which proves that the control system tuned by LMI-IMC-PID method has strong robustness.