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.

中文翻译：

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状态约束随机高阶非线性系统的自适应状态反馈镇定

本文提出了一种状态约束随机高阶非线性系统的自适应状态反馈策略。通过添加功率积分器和自适应反推技术，构建了一种新的自适应控制器，无需强加可行性条件，保证所有闭环信号几乎肯定有界，几乎肯定不会违反全状态约束，并且闭环系统是随机渐近稳定的。