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In this paper, we investigate the output-feedback tracking problem of random high-order nonlinear systems. Compared with most of the existing results where only a wiener process is considered, we consider systems with a second-order moment process. A new high-gain homogeneous domination design technique is developed to deal with the coupling terms between nonlinear functions and the second-order moment process. A new output tracking controller is designed to ensure that the mean-square of the tracking error can be made arbitrarily small while all the states of the closed-loop system are bounded in probability. Finally, a simulation example is given to illustrate the effectiveness of our control scheme.

Output-feedback tracking control of random high-order nonlinear systems