Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power
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摘要: 研究了一类具有奇整数比次方的随机高阶非线性系统的输出反馈控制问题. 通过采用增加幂次积分方法, 引入一个新的标量变换和选取合适的李雅普诺夫函数, 所构造的输出反馈控制器使得闭环系统是依概率全局渐近稳定的, 输出几乎处处调节到原点. 进一步地, 我们解决了依概率逆最优镇定问题. 仿真例子证明了设计方法的有效性.Abstract: This paper investigates the problem of output-feedback control for a class of stochastic high-order nonlinear systems with a ratio of odd integers power. By extending the adding a power integrator technique, introducing a new rescaling transformation, and choosing an appropriate Lyapunov function, an output-feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Furthermore, we address the problem of inverse optimal stabilization in probability. A simulation example is provided to show the effectiveness of the design.
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