具有奇整数比次方的随机高阶非线性系统的输出反馈镇定(英文)

• 作 者: 刘亮 段纳 解学军
• 机 构: School of Electrical Engineering and Automation,Xuzhou Normal University,Institute of Automation,Quf
• 出 处: 自动化学报
• 发表日期: 2010年06期
• 关键词: 反馈镇定 高阶非线性 stabilization asymptotically render stochastic inverse introducing ad

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.

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.