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Observer-based robust passive fuzzy control for discrete Takagi-Sugeno fuzzy systems

机译:离散Takagi-Sugeno模糊系统的基于观测器的鲁棒被动模糊控制

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This paper deals with the problem of observer-based robust passive fuzzy control for uncertain Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. For describing the stochastic behaviors of the system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model. And, the uncertainties of the controlled system are considered in this paper for dealing with molding errors and varying parameters. Furthermore, using the Lyapunov function and passivity theory, the sufficient stability conditions can be derived in term of Linear Matrix Inequality (LMI) via two-step procedure. Finally, the numerical simulations are proposed to show the effectiveness and usefulness of this paper.
机译:本文针对具有乘法噪声的不确定Takagi-Sugeno(T-S)模糊模型,研究了基于观测器的鲁棒被动模糊控制问题。为了描述系统的随机行为,使用随机微分方程构造随机T-S模糊模型。并且,本文考虑了控制系统的不确定性,以处理成型误差和变化的参数。此外,利用李雅普诺夫函数和无源性理论,可以通过两步法以线性矩阵不等式(LMI)导出足够的稳定性条件。最后,通过数值模拟证明了本文的有效性和实用性。

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