离散模糊二次多项式系统输出反馈跟踪控制

Output feedback tracking control of discrete-time quadratic polynomial fuzzy systems

针对一类离散模糊二次多项式系统,设计了输出反馈跟踪控制器。首先,提出了一类离散模糊二次多项式模型;然后,基于非线性控制方法中的反馈线性化方法,设计了输出反馈跟踪控制器,使得闭环离散模糊二次多项式系统的输出可以实现对有界时变参考轨迹的动态跟踪。针对应用反馈线性化方法易出现的奇异性问题,建立了一个充分条件,用于判定一个给定的离散模糊二次多项式系统是否会出现上述问题。最后,通过对数值算例的仿真验证了所提出方法的可行性和有效性。

The output feedback tracking controller is designed for a class of discretetime quadratic polynomial fuzzy systems.Firstly,a class of discretetime quadratic polynomial fuzzy model was proposed.Based on the feedback linearization method which is one of the nonlinear control methods,the output feedback tracking controller was designed,and the output of closedloop discretetime quadratic polynomial fuzzy system achieved dynamic tracking of bounded timevarying trajectories.Additionally,in the light of the singularity problem which appears easily by using the feedback linearization method,a sufficient condition was established for checking whether a given discretetime quadratic polynomial fuzzy system causes such a failure.Finally,the feasibility and validity of the proposed method are verified by the simulation of a numerical example.