Output Tracking of Stochastic High-Order Nonlinear Systems with Markovian Switching

This technical note poses and solves the output tracking problem for a class of stochastic high-order nonlinear systems with stationary Markovian switching. By introducing a II-operator and using Dynkin formula for Markovian switching systems, a switching controller is constructed to ensure that the closed-loop system has a unique solution and is bounded in probability. Also, the tracking error converges to an arbitrarily small neighborhood of zero. The efficiency of the tracking controller is demonstrated by a simulation example.