时变时滞离散模糊奇异系统的H_∞滑模控制

H_∞ Sliding Mode Control for Discrete-time Fuzzy Singular Systems with Time-varying Delay

研究了时变时滞离散模糊奇异系统的鲁棒H_∞滑模控制问题。针对离散模糊奇异时滞系统,设计了包含奇异矩阵E的滑模面,并给出确保系统的理想滑动模态是容许的且满足一定H_∞性能的充分条件。基于延迟干扰项的估计,设计了线性滑模控制律,保证系统的状态轨迹收敛到理想滑模面邻域。最后,通过数值算例说明了方法的有效性。

This paper addresses the robust H_∞ sliding mode control problem for discrete-time time-varying delay fuzzy singular systems. A new type of sliding mode surface involving the singular matrix E is proposed firstly for uncertain fuzzy singular systems. A sufficient condition is given to guarantee that the ideal sliding mode dynamics of the singular system to be admissible with H_∞ performance. In addition, by constructing an estimation of the time-varying delay term, a linear SMC law is proposed to ensure that the system states converge into a vicinity of the ideal sliding surface. Finally, the numerical example is used to illustrate the effectiveness of the proposed method.