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面向具有强非线性的复杂工业过程,利用T-S模糊模型逼近原非线性系统,把T-S模糊模型逼近非线性系统存在的误差描述成有界时变的扰动,进而提出带扰动的T-S模糊系统的有限时间控制方法。首先,给出线性系统有限时间有界性的一个充分条件,与现有结果相比,该条件具有较小的保守性,并可以处理扰动是时变的情况;然后,提出T-S模糊系统有限时间镇定控制器的设计方法;最后,给出基于线性矩阵不等式(LMI)的控制器设计算法,并通过数值算例演示所给方法的有效性。
For complex industrial processes with strong nonlinearity, the TS fuzzy model is used to approximate the original nonlinear system. The error of TS fuzzy model approximation nonlinear system is described as bounded and time-varying perturbation, then the finite TS fuzzy system with perturbation is proposed. Time control method. First of all, a sufficient condition for the boundedness of a finite time of a linear system is given. Compared with the existing results, the condition is less conservative and the disturbance can be treated as time-varying. Then, Finally, the controller design algorithm based on linear matrix inequality (LMI) is given. Numerical examples are given to demonstrate the effectiveness of the proposed method.