Adaptive state-feedback stabilization of state-constrained stochastic high-order nonlinear systems

This paper presents an adaptive state-feedback strategy for state-constrained stochastic high-order nonlinear systems. By adding a power integrator and adaptive backstepping techniques, a new adaptive controller is constructed without imposing feasibility conditions, which guarantees that all closed-loop signals are bounded almost surely, full-state constraints are not violated almost surely, and the trivial solution of the closed-loop system is stochastically asymptotically stable.

Automated summary

This paper introduces an adaptive state-feedback strategy for state-constrained stochastic high-order nonlinear systems. The new adaptive controller, developed through the inclusion of a power integrator and adaptive backstepping techniques, ensures stability of the system and boundedness of signals.