一阶伪线性系统的模型参考输出跟踪控制

针对伪线性系统的模型参考输出跟踪问题,设计伪线性系统的模型参考跟踪策略.控制器分为两部分,其一为反馈镇定控制器,保证闭环系统是渐近稳定的;另一为前馈补偿控制器,通过求解基于控制器存在条件建立的方程组得到控制器的参量矩阵,使得闭环系统的输出渐近跟踪参考系统的输出,且当系统中存在时变系数时方法仍是有效的,控制器中保有部分自由度可以进一步利用,以提高具体控制任务所需的系统性能.数值仿真验证了所提出方法的有效性.

Model reference output tracking control for first-order quasi-linear systems

The model reference control strategy is designed for the model reference control problem of quasi-linear systems. The quasi-linear model reference controller consists of two parts, the feedback stabilization controller guarantees that the closed-loop system is asymptotically stable, the feed-forward compensator controller ensures that the output of the closed-loop system can asymptotically track the output of reference model, the parameter matrices of controller are solved by the existence condition of the controller, what is more, the strategy is still effective when there are time-varying parameters in the open-loop system model and reference model, and degree of freedom in controller can be used to improve the system performance that control task needs. The simulation demonstrates the effectiveness of the proposed scheme.