对象不稳定的内模控制系统的参数优化仿真

Parameters Optimization Simulation for Internal Model Control System with Unstable Objects

内模控制系统的参数优化对提高工业生产效率意义重大。内模控制系统的产生随控制对象的状态变化而发生变化,随着控制过程复杂程度的增加,控制对象的不稳定状态极具增加,控制参数发生不可控突变。传统的参数控制方法采用补偿技术控制参数突变,但是,这种补偿存在较为明显的滞后性,属于后发式控制,容易形成过控制和欠控制等弊端。为解决上述问题,提出一种控制器和稳定器的参数化设计方法,针对对象不稳定的改进内模控制系统,利用基于传递函数互质分解的频域理论,在保证内稳定性及鲁棒无差跟踪一般性结论的基础上,推导得到所有满足条件的控制器和稳定器的参数化表达式,在众多满足一般性结论的控制器集合中找寻最优控制器,进一步实现系统跟踪性能,抗扰性及鲁棒性能上的优化,最后通过Matlab/Simulink仿真平台进行仿真,验证了所得结论的真实性和可靠性。提出的参数化优化方法可进一步应用于其它内模控制系统的扩展中,优化了参数控制过程。

Parameter optimization of internal model control system is of significance to improve the efficiency of industrial production. This paper presented a parametric design method for controller and stabilizer. For the improved internal model control system with unstable objects, we used the theory of frequency domain based on coprime factorization of transfer function, and obtained all the parameterization expressions of controllers and stabilizers by derivations to met the conditions and ensure the internal stability and robustness no error tracking on the basis of the general conclusion. Among the numerous controller sets which can meet general conclusion, the optimal controller was found, to further realize the system tracking performance, and optimize the interference rejection and robustness. Finally, Matlab/Simulink simulation platform was used to make simulation and verify the authenticity and reliability of the conclusions. The proposed parameterization optimization method can be further applied to the expansion of other internal model control system to optimize the control process of the parameters.