This paper presents a robust control methodology based on a disturbance observer and an optimal states feedback for Takagi–Sugeno fuzzy system. Firstly, the nonlinear systems were solved by applying a sector nonlinearity method to get the inner linear subsystems and outer fuzzy membership functions, which guaranteed the conversion without any loss generality characteristics of the system. Secondly, an exponentially convergent disturbance observer was constructed to the system with an assumption that the system states are temporarily bounded. Thirdly, a states observer was built by poles placement of linear quadratic regulation optimization, which was used to place the system states error poles located on the stable region. Finally, simulation examples were given to figure out that the proposed controller is effective to control the Takagi–Sugeno fuzzy system. The obtained results are disturbance mostly rejected, state estimation errors are quite small, and the output signal precisely tracked input signal.

本文提出了一种基于干扰观测器和最优状态反馈的鲁棒控制方法，用于Takagi-Sugeno模糊系统。首先，采用扇形非线性方法求解非线性系统，得到内部线性子系统和外部模糊隶属度函数，从而保证了系统的转换无损失一般性。其次，在系统状态被暂时限制的前提下，对系统构造了一个指数收敛的扰动观测器。第三，通过线性二次调节优化的极点配置，建立了状态观测器，用于将系统状态误差极点放置在稳定区域上。最后，仿真实例表明，该控制器对控制Takagi-Sugeno模糊系统有效。所获得的结果被干扰抑制得最多，状态估计误差很小，并且输出信号可以精确地跟踪输入信号。