scholarly journals Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Liu Jianwei ◽  
Guo Longchuan ◽  
Zuo Xin ◽  
Liang Huaqing
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Growth Conditions ◽  
High Gain ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Control Effort ◽  
Globally Asymptotically Stable ◽  
Output Feedback Controller

This paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable output. We extend linear growth conditions to power growth conditions and reduce the control effort. By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system to be globally asymptotically stable in probability, and the inverse optimal stabilization in probability is achieved. The efficiency of the output-feedback controller is demonstrated by a simulation example.

scholarly journals Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates

2021 ◽  
Author(s):  
Ce Liu ◽  
Junyong Zhai
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
High Order ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Output Function ◽  
Globally Asymptotically Stable ◽  
Adding A Power Integrator ◽  
Output Feedback Controller

Abstract This paper concentrates on the adaptive output feedback controller design for a class of high-order stochastic nonlinear systems(SNSs) with uncertain output function. Firstly, a homogeneous output feedback controller for the nominal system is designed through the technique of adding a power integrator. Secondly, a well-designed dynamic gain is introduced into the controller to ensure the original SNSs globally asymptotically stable(GAS) in probability. Besides, the proposed control strategy can be also extended to upper-triangular SNSs. Finally, two numerical examples illustrate the effectiveness of the proposed method.

Output-Feedback Stabilization for a Special Class of Stochastic Nonlinear Time-Delay System With More General Growth Conditions

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Long-Chuan Guo ◽  
Jian-Wei Liu ◽  
Xin Zuo ◽  
Hua-Qing Liang
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Special Class ◽  
Growth Conditions ◽  
High Gain ◽  
Delay System ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Time Delay System ◽  
Output Feedback Controller

This paper focuses on a special class of stochastic nonlinear time-delay system with more weak conditions in which the drift and diffusion vectors depend on all the states, including the unmeasurable states for the first time. By introducing a high-gain observer, finding the maximum value interval of high-gain for the desired performance and choosing an appropriate Lyapunov-Krasoviskii function, an output-feedback controller is designed to ensure the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability and the output can be almost regulated to the origin surely. A practice example of mechanical movement system is provided to demonstrate the efficiency of the output-feedback controller.

Adaptive output feedback control for a class of uncertain stochastic nonlinear systems

2021 ◽  
pp. 095965182110212
Author(s):  
Ce Liu ◽  
Junyong Zhai
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Output Feedback Control ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Adding A Power Integrator ◽  
Output Feedback Controller ◽  
Barbalat’S Lemma ◽  
System States

This article concentrates on the output feedback controller design for a class of stochastic nonlinear systems with unknown homogeneous growth rates. First, a full-order observer is proposed coupling with a dynamic gain so as to obtain system state estimates. Then, an adaptive output feedback controller is put forward by the homogeneity theory and adding a power integrator technique. Combined with the stochastic Barbalat’s lemma, the signals of the closed-loop system are demonstrated to be bounded and all the system states are proved to converge to the origin in probability. Besides, the results are also expanded to the controller design of upper-triangular stochastic nonlinear system. Two simulation results indicate usefulness of the designed control algorithm.

scholarly journals Stability of a Class of Stochastic Nonlinear Systems with Markovian Switching

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Xiaohua Liu ◽  
Wuquan Li
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Design Method ◽  
Feedback Controller ◽  
Markovian Switching ◽  
Stochastic Nonlinear Systems ◽  
Closed Loop System ◽  
Output Feedback Controller ◽  
The Stability

This paper investigates the stability of a class of stochastic nonlinear systems with Markovian switching via output-feedback. Based on the backstepping design method and homogeneous domination technique, an output-feedback controller is constructed to guarantee that the closed-loop system has a unique solution and is almost surely asymptotically stable. The efficiency of the output-feedback controller is demonstrated by a simulation example.

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