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Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems

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2 Author(s)
Cong-Ran Zhao ; Inst. of Autom., Qufu Normal Univ., Qufu, China ; Xue-Jun Xie

This technical note further investigates more general stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics and focuses on solving the following problems: 1) a class of counterexamples which are different from that in are reconstructed to discuss the relationship between two small-gain type conditions on SiISS and 2) under the weaker conditions on nonlinearities, based on a reduced-order observer, small-gain type condition on SiISS and stochastic LaSalle theorem, an output feedback controller is constructed to guarantee the global asymptotical stability in probability of the closed-loop stochastic system.

Published in:

IEEE Transactions on Automatic Control  (Volume:58 ,  Issue: 2 )