Research of General Fuzzy Integral Sliding Mode Controller Based on Complex Networks

A fuzzy integral sliding mode control method based on the finite time stable theory and integral sliding mode control theory is proposed to solve a class of complex network problems. The complex networks are expressed by T-S fuzzy models with bounded approximation errors by using the approximation capability of T-S fuzzy models. The paper proposes fuzzy dynamic integral sliding mode control scheme and the scheme is designed for the complex networks based on their T-S fuzzy approximation models. The simulation result shows that the trajectories of the closed-loop control system are kept on the sliding surface almost since the initial time. And the sliding motion of the closed-loop control system involving the original nonlinear system can be shown to be semi globally asymptotically stable. The controller can make system convergence in finite time and reduce the system buffeting effectively.