Robust Adaptive Switching Control for Markovian Jump NonlinearSystems via Backstepping Technique

Abstract EN

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.