一类复杂非线性系统的鲁棒模型跟踪控制

针对一类具有耦合特性复杂互联非线性系统的鲁棒模型跟踪控制问题,对互联非线性系统控制问题进行了论述,讨论了基于反馈线性化方法的系统模型跟踪控制方法,提出了基于H∞控制理论的鲁棒控制方案以克服扰动影响,并针对子系统之间的耦合影响设计了协调控制器,实现整个互联系统的镇定。通过三相电弧炉电极调节系统的鲁棒模型跟踪方案的设计及仿真,表明该方法可以克服耦合及扰动影响,实现各相系统的鲁棒模型跟踪控制。

Robust model tracking control on a class of complex nonlinear system

The problem of robust tracking control for a category of complex interconnected system with nonlinear and coupling characteristics is studied. Firstly, the interconnected nonlinear system is expounded. Then a model-tracking controlling method based on feedback linearization of the system is discussed. Next, a robust control scheme is presented based on the H∞ theory to attenuate external disturbance. Finally, aiming at the coupling effect between subsystems, a coordinated controller is designed to stabilize the interconnected system. The design and simulation of the robust model-tracking control scheme for a three-phase electric arc furnace electrode regulator system shows that this method is effective in overcoming the influences of coupling and disturbance, and achieving the robust modeltracking control of each phase in the system.