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Adaptive Control of a Class of Incommensurate Fractional Order Nonlinear Systems with Input Dead-zone

Changhui Wang, Mei Liang, Yongsheng Chai
2019 IEEE Access  
This paper develops a new adaptive control scheme for a class of incommensurate fractional order nonlinear systems with external disturbances and input dead-zone.  ...  The adaptive RBF NN controller is designed based on the frequency distributed model of fractional integrator for the fractional order systems, and the stability of the closed loop system is proved.  ...  CONCLUSION A new adaptive NN backstepping control method for a class of incommensurate uncertain fractional order nonlinear systems with external disturbance and input dead-zone is proposed in this paper  ... 
doi:10.1109/access.2019.2948657 fatcat:74z526ociraifm2v2jk2l7c4m4

An Adaptive Control of Fractional-Order Nonlinear Uncertain Systems with Input Saturation

Changhui Wang, Mei Liang, Yongsheng Chai
2019 Complexity  
This paper develops a fractional-order adaptive fuzzy backstepping control scheme for incommensurate fractional-order nonlinear uncertain systems with external disturbances and input saturation.  ...  Based on backstepping algorithm, the fuzzy logic system is used to approximate the unknown nonlinear uncertainties in each step of the backstepping, and the fractional-order parameters update laws for  ...  For a class of commensurate uncertain fractional-order nonlinear systems with external disturbance and input saturation, an adaptive NN backstepping control method based on the indirect Lyapunov method  ... 
doi:10.1155/2019/5643298 fatcat:r7ooay4upvdd7du23ioukue7za

Adaptive Backstepping Control of a Class of Incommensurate Fractional Order Nonlinear MIMO Systems with Unknown Disturbance

Changhui Wang, Mei Liang, Yongsheng Chai
2019 IEEE Access  
In this paper, a new adaptive backstepping control scheme for a class of incommensurate fractional order nonlinear multiple-input multiple-output (MIMO) systems with unknown nonlinearities and external  ...  INDEX TERMS Fractional order systems, adaptive backstepping control, nonlinear system, neural networks (NNs), multiple-input multiple-output (MIMO).  ...  For a class of uncertain fractional order nonlinear systems with external disturbance and input saturation, an adaptive NN backstepping control method based on the indirect Lyapunov method is designed  ... 
doi:10.1109/access.2019.2943657 fatcat:iklimrklnvhh5bbpl3mafkgot4

Design of Adaptive Fuzzy Controllers for a Class of Fractional Order Nonlinear MIMO Systems with Input Saturation

Changhui Wang, Hai Yin, Mei Liang, Yongsheng Chai
2020 IEEE Access  
This paper develops a fractional order adaptive fuzzy backstepping control scheme for an incommensurate fractional order uncertain nonlinear multiple-input multiple-output (MIMO) systems with external  ...  INDEX TERMS Fractional order systems, nonlinear MIMO system, fuzzy logic system, adaptive backstepping control, input saturation.  ...  In [21] , an adaptive NN backstepping control method based on the indirect Lyapunov method is developed for a class of uncertain commensurate fractional order nonlinear systems with external disturbance  ... 
doi:10.1109/access.2020.2998681 fatcat:vuaadrb3f5ft5bkudiykzxbgoq

Adaptive Neural Network Control of a Class of Fractional Order Uncertain Nonlinear MIMO Systems with Input Constraints

Changhui Wang, Mei Liang, Yongsheng Chai
2019 Complexity  
An adaptive backstepping control scheme for a class of incommensurate fractional order uncertain nonlinear multiple-input multiple-output (MIMO) systems subjected to constraints is discussed in this paper  ...  Moreover, the parameter update laws with incommensurate fractional order are used in the controller to compensate unknown nonlinearities.  ...  For a class of uncertain fractional order nonlinear systems with external disturbance and input saturation, an adaptive NN backstepping control method based on the indirect Lyapunov method is designed  ... 
doi:10.1155/2019/1410278 fatcat:oozrwgrf6zam5pjat2f4bh4zoe

Theoretical and Applied Contributions to Robust Stability Analysis of Complex Systems

Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, John Cortés-Romero
2020 Complexity  
Peng et al. presents a robust finite-time fault-tolerant control (FTC) scheme for a class of uncertain linear systems in the presence of multiple actuator faults. e adaptive laws were used to compensate  ...  by the application of the Lyapunov stability theory and numerical simulations. e paper "Robust Finite-Time Tracking for Uncertain Linear Systems with Actuator Faults" by X.  ...  Acknowledgments e guest editors would like to thank the authors of all the papers submitted to their interest in this Special Issue and express their enormous thankfulness to the reviewers for their valuable  ... 
doi:10.1155/2020/7083781 fatcat:cfa6rdzr5jh6bo6hloznljfwqq

Finite-time adaptive neural network control for fractional-order chaotic PMSM via command filtered backstepping

Senkui Lu, Xingcheng Wang, Longda Wang
2020 Advances in Difference Equations  
Firstly, a neural network with a fractional-order parametric update law is utilized to cope with the nonlinear and unknown functions.  ...  A finite-time adaptive neural network position tracking control method is considered for the fractional-order chaotic permanent magnet synchronous motor (PMSM) via command filtered backstepping in this  ...  Funding This work was funded by the National Natural Science Foundation of China (Number 60574018).  ... 
doi:10.1186/s13662-020-02572-6 fatcat:bycumbpudraahlaijf3ozt7byi

Robust Fuzzy Adaptive Sliding Mode Stabilization for Fractional-Order Chaos

Bachir Bourouba, Samir Ladaci
2018 Algorithms  
In this paper, a new adaptive fuzzy sliding mode control (AFSMC) design strategy is proposed for the control of a special class of three-dimensional fractional order chaotic systems with uncertainties  ...  The design methodology is developed in two stages: first, an adaptive sliding mode control law is proposed for the class of fractional order chaotic systems without uncertainties, and then a fuzzy logic  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/a11070101 fatcat:wzahqrjibne5vj2h4rkqde6fcq

Using state feedback control to stabilize unstable equilibrium points of the unified fractional-order chaotic system

E. R. Ghotb
2011 Scientific Research and Essays  
In this paper, a state feedback controller is designed to stabilize a class of fractional order unified systems at their unstable equilibrium points.  ...  The fractional-order chaotic Chen system is chosen to get stabilized in two cases of commensurate and incommensurate orders.  ...  In Park et al. (2009) the problem of adaptive Η  synchronization for unified chaotic systems with uncertain parameter and external disturbance is studied.  ... 
doi:10.5897/sre10.1218 fatcat:amvavjee5vcvvjdga2dppxorgu

2009 Index IEEE Transactions on Automatic Control Vol. 54

2009 IEEE Transactions on Automatic Control  
., +, TAC July 2009 1548-1560 Control nonlinearities Adaptive Robust State Observers for a Class of Uncertain Nonlinear Dy- namical Systems With Delayed State Perturbations.  ...  ., +, TAC Feb. 2009 266-278 Adaptive Robust State Observers for a Class of Uncertain Nonlinear Dynamical Systems With Delayed State Perturbations.  ...  State Convergence of Passive Nonlinear Systems With an L Input.  ... 
doi:10.1109/tac.2009.2037798 fatcat:4ilhkzss6jc63ersjzi47hiwgu

T-S Fuzzy Control of Uncertain Fractional-Order Systems with Time Delay

Yilin Hao, Xiulan Zhang, Shenggang Li
2021 Journal of Mathematics  
In this article, the adaptive control of uncertain fractional-order time-delay systems (FOTDSs) with external disturbances is discussed.  ...  Due to the uncertainty of system parameters, some fractional-order adaptation laws are designed to update these parameters.  ...  Acknowledgments is work was supported by the Scientific Research Project of Guangxi University for Nationalities (2020KJYB002) and the Innovation Project of Guangxi University for Nationalities Graduate  ... 
doi:10.1155/2021/6636882 fatcat:mjesmzfdwng6tizllgweapa2se

Application of Reinforcement Learning and Deep Learning in Multiple-Input and Multiple-Output (MIMO) Systems

Muddasar Naeem, Giuseppe De Pietro, Antonio Coronato
2021 Sensors  
The recent success of RL and DL introduces novel and powerful tools that mitigate issues in MIMO communication systems.  ...  This article focuses on RL and DL techniques for MIMO systems by presenting a comprehensive review on the integration between the two areas.  ...  An adaptive backstepping control approach is proposed in [298] uncertain MIMO incommensurate fractional-order nonlinear systems.  ... 
doi:10.3390/s22010309 pmid:35009848 pmcid:PMC8749942 fatcat:2w4th63dtrdyboa6rmhr5rcvja