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Output Tracking of High-Order Stochastic Nonlinear Systems with Application to Benchmark Mechanical System

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2 Author(s)
Xue-Jun Xie ; Institute of Automation, Qufu Normal University, Qufu, China ; Na Duan

This note considers output tracking of high-order stochastic nonlinear systems without imposing any restriction on the high-order and the drift and diffusion terms. By using the backstepping design technique, a smooth state-feedback controller is given to guarantee that the solution process is bounded in probability and the error signal between the output and the reference signal can be regulated into a small neighborhood of the origin in probability. A practical example of stochastic benchmark mechanical system and simulation are provided to demonstrate the effectiveness of the control scheme.

Published in:

IEEE Transactions on Automatic Control  (Volume:55 ,  Issue: 5 )