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This paper investigates robust adaptive switching controllerdesign for Markovian jump nonlinear systems with unmodeleddynamics and Wiener noise. The concerned system is ofstrict-feedback form, and the statistics information of noise isunknown due to practical limitation. With the ordinaryinput-to-state stability (ISS) extended to jump case, stochasticLyapunov stability criterion is proposed. By using backsteppingtechnique and stochastic small-gain theorem, a switchingcontroller is designed such that stochastic stability is ensured. Also system states will converge to an attractive region whoseradius can be made as small as possible with appropriate controlparameters chosen. A simulation example illustrates the validityof this method.

Robust Adaptive Switching Control for Markovian Jump NonlinearSystems via Backstepping Technique