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.