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 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.

scholarly journals PiecewiseH∞Static Output Feedback Controller Design for Nonlinear Systems Based on T-S Affine Fuzzy Models

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Xingang Zhao
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Output Feedback Controller ◽  
Fuzzy Models ◽  
Complex Nonlinear Systems ◽  
Static Output

This paper is concerned with the problem of designingH∞controllers via static output feedback controller for a class of complex nonlinear systems, which is approximated by continuous-time affine fuzzy models. A decomposition method is presented to divide the output-space into different operating regions and interpolation regions. Based on this partition, a novel piecewise controller with affine terms via static output feedback is designed. By using a dilated linear matrix inequality (LMI) characterization, some nonconvex conditions are converted into convex ones to make the asymptotic stability andH∞performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example.

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