Output Feedback Regulation of Stochastic Nonlinear Systems With Stochastic iISS Inverse Dynamics

2010 ◽  
Vol 55 (2) ◽  
pp. 304-320 ◽  
Author(s):  
Xin Yu ◽  
Xue-Jun Xie
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Inverse Dynamics ◽  
Feedback Regulation ◽  
Stochastic Nonlinear Systems

scholarly journals Adaptive Output Feedback Control for a Class of Stochastic Nonlinear Systems with SiISS Inverse Dynamics

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Na Duan ◽  
Hai-Kuan Liu
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Inverse Dynamics ◽  
Output Feedback Control ◽  
Stochastic Nonlinear Systems ◽  
Adaptive Stabilization ◽  
Adaptive Output Feedback Control ◽  
Lasalle Theorem ◽  
Small Gain

The adaptive stabilization scheme based on tuning function for stochastic nonlinear systems with stochastic integral input-to-state stability (SiISS) inverse dynamics is investigated. By combining the stochastic LaSalle theorem and small-gain type conditions on SiISS, an adaptive output feedback controller is constructively designed. It is shown that all the closed-loop signals are bounded almost surely and the stochastic closed-loop system is globally stable in probability.

scholarly journals Global Adaptive Control of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States by Output Feedback

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Qiangde Wang ◽  
Chunling Wei
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Inverse Dynamics ◽  
Growth Conditions ◽  
Loop System ◽  
Stochastic Nonlinear Systems ◽  
Nonlinear Functions ◽  
Closed Loop System ◽  
Stochastic Stabilization

The problem of the output feedback stochastic stabilization is investigated for a class of stochastic nonlinear systems with linearly bounded unmeasurable states. Under the condition that the inverse dynamics is stochastic input-to-state stable and the nonlinear functions satisfy the linear growth conditions with unknown growth rate, an adaptive output feedback controller is proposed to make the closed-loop system globally stable in probability and the states of the closed-loop system converge to zero almost surely. A simulation example is provided to show the effectiveness of the theoretical results.

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