Adaptive event‐triggered tracking control for a class of stochastic nonlinear systems with full‐state constraints
Hang Lu, Yan Jiang, Shixian Luo
Abstract
Abstract This paper proposes an adaptive event trigger‐based sample‐and‐hold tracking control scheme for a class of strict‐feedback nonlinear stochastic systems with full‐state constraints. By introducing a tan‐type stochastic Barrier Lyapunov function (SBLF) combined with radial basis function neural networks (RBFNNs), which is used to approximate the nonlinear functions in backstepping procedures, an adaptive event‐triggered controller is designed. It is shown with stochastic stability theory that all the states cannot violate their constraints, and Zeno behavior is excluded almost surely. Meanwhile, all the signals of the closed‐loop systems are bounded almost surely and the tracking error converges to an arbitrary small compact set in the fourth‐moment sense. A simulation example is given to show the effectiveness of the control scheme.