Exponential Stabilization of Stochastic Feedforward Nonlinear Systems: A Dynamic Gain Approach

This paper solves the problem of almost sure exponential stabilization via output feedback control for stochastic feedforward nonlinear systems with the unknown growth rate. A novel dynamic gain is introduced not only to cope with system uncertainties but also to ensure exponential convergence. Base...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2024-04, Vol.69 (4), p.1-8
Main Authors: Cui, Rong-Heng, Xie, Xue-Jun
Format: Article
Language:English
Subjects:
Adaptive systems
Closed loop systems
Closed loops
Control design
Control systems
Convergence
Dynamic gain
exponential stability
Feedback control
Feedforward control
Feedforward systems
Nonlinear systems
Output feedback
output feedback control
Stabilization
stochastic feedforward nonlinear systems
Time-varying systems
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Summary:This paper solves the problem of almost sure exponential stabilization via output feedback control for stochastic feedforward nonlinear systems with the unknown growth rate. A novel dynamic gain is introduced not only to cope with system uncertainties but also to ensure exponential convergence. Based on this dynamic gain, an adaptive output feedback controller is explicitly constructed. By introducing an improved stochastic analysis method, we rigorously prove that the closed-loop system has an almost surely unique solution, all the closed-loop signals are bounded almost surely, and the solution of the closed-loop system tends to the equilibrium position exponentially fast.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3331682