Adaptive partial-state feedback control for stochastic high-order nonlinear systems with stochastic input-to-state stable inverse dynamics

作者：Liu, Liang^*; Yin, Shen; Gao, Huijun; Alsaadi, Fuad; Hayat, Tasawar

来源：Automatica, 2015, 51: 285-291.

DOI：10.1016/j.automatica.2014.10.094

• Stochastic high-order nonlinear systems
• Adaptive partial-state feedback
• Changing supply function
• Parameter separation techn(i)que

This paper aims to solve the adaptive stabilization problem for a class of stochastic high-order nonlinear systems with stochastic inverse dynamics and nonlinear parameterization. Under the weaker assumptions on stochastic inverse dynamic and nonlinear functions, by generalizing the adding a power integrator technique, using the idea of changing supply function and parameter separation technique, a smooth adaptive partial-state feedback controller is constructed to render the closed-loop system globally stable in probability and all states can be regulated to the origin almost surely. The effectiveness of the designed controller is demonstrated by a simulation example.

• 出版日期2015-1
• 单位哈尔滨工业大学; 渤海大学