A non-integer sliding mode controller to stabilize fractional-order nonlinear systems

Haghighi, Ahmadreza; Ziaratban, Roveida

doi:10.1186/s13662-020-02954-w

Cited by 16 publications

(5 citation statements)

References 63 publications

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“…FO SMC was used for the chaotic fractional order system Lu used in power distribution [150]. The sliding surface converged to zero very fast, saving energy, reducing device deterioration and had a high speed of control.…”

Section: B Advantages Of Fosmcmentioning

confidence: 99%

Fractional Order Control of Power Electronic Converters in Industrial Drives and Renewable Energy Systems: A Review

Warrier

Shah

2021

IEEE Access

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The power electronics industry is undergoing a revolution driven by an industry 4.0 perspective, with smart and green/hybrid energy management systems being the requirement of the future. There is a need to highlight the potential of fractional order control in power electronics for the highly efficient systems of tomorrow. This paper reviews the developments in fractional order control in power electronics ranging from stand-alone power converters, industrial drives and electric vehicles to renewable energy systems and management in smart grids and microgrids. Various controllers used in power electronics such as the fractional order PI/PID (FOPI/FOPID) and fractional-order sliding mode controllers have been discussed in detail. This review indicates that the plug-and-play type of intelligent fractional order systems needs to be developed for our sustainable future. The review also points out that there is tremendous scope for the design of modular fractional-order intelligent controllers. Such controllers can be embedded into power converters, resulting in smart power electronic systems that contribute to the faster and greener implementation of industry 4.0 standards. INDEX TERMS Fractional calculus, power electronic converters, fractional order control, industrial drives, electric vehicles, renewable energy applications, smart grids and microgrids, industry 4.0.

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Section: B Advantages Of Fosmcmentioning

confidence: 99%

Fractional Order Control of Power Electronic Converters in Industrial Drives and Renewable Energy Systems: A Review

Warrier

Shah

2021

IEEE Access

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“…Several studies have investigated the use of FOSMC for chemical processes. In general, these studies have shown that FOSMC can improve the performance and robustness of control systems for chemical processes; from them, we can highlight. − Therefore, the future of FOSMC for chemical processes is promising, and it is becoming a more widely used control technique for chemical processes as the theory of fractional calculus and sliding mode control continues to develop.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Control Framework for Chemical Processes with Long Time Delay: Theory and Experiments

Di Teodoro,

Herrera,

Rincon

et al. 2024

ACS Omega

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This paper proposes a hybrid control framework based on internal model concepts, sliding mode control methodology, and fractional-order calculus theory. As a result, a modified Smith predictor (SP) is proposed for nonlinear systems with significant delays. The particular predictive approach enhances the sliding mode control (SMC) controller's transient responses for dead-time processes, and the SMC gives the predictive structure robustness for model mismatches by combining the previous methods with fractional order concepts; the result is a dynamical sliding mode controller. A numerical example is considered to evaluate the performance of the proposed approach, where a step change, external disturbance, and parametric uncertainty test are performed. A real application in the TCLab Arduino kit is presented; the proposed method presented good performance with a little amount of chattering, and in the disturbance rejection case, the overshoot increased with an aggressive response; in both cases, better tuning parameters can improve the process response and the controller action.

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“…The authors of [30] have considered an intermittent control FT synchronization problem for FO complicated dynamical neural-networks. In [31], a non-integer SMC is added via the FDM technique to stabilize complicated FO chaotic systems.…”

Section: Introduction 1introductions and A Literature Reviewmentioning

confidence: 99%

Finite-time sliding mode control methods for a class of non-integer-order systems with input saturations and its application

Dosti¹,

Matinfar²

2023

Phys. Scr.

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Control and synchronization of chaotic dynamical systems is a key issue in engineering that has numerous applications in the applied sciences. In this research, single input finite-time sliding mode (FTSMC) control algorithms are developed to synchronize and stabilize a class of three-dimensional non-integer order systems where input saturation is present. Using the non-integer version of the Lyapunov stability theory (LST) and the dynamic-free idea, techniques are devised to suppress the improper behavior of the aforementioned fractional-order (FO) chaotic systems without unpleasant chattering phenomena. The proposed FTSMC approach can be utilized to stabilize and synchronize systems that include model uncertainty, external disturbances, and input saturation. The developed single input techniques have the benefits of being model-free, robust to uncertainty, user-friendly, and establishing equilibrium in a finite amount of time. In addition, the efficacy and applicability of the FTSMC approaches are shown by synchronizing two different industrial FO chaotic systems and chaos suppressing of the PMSM chaotic system utilizing these methods.

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A non-integer sliding mode controller to stabilize fractional-order nonlinear systems

Cited by 16 publications

References 63 publications

Fractional Order Control of Power Electronic Converters in Industrial Drives and Renewable Energy Systems: A Review

Fractional Order Control of Power Electronic Converters in Industrial Drives and Renewable Energy Systems: A Review

A Hybrid Control Framework for Chemical Processes with Long Time Delay: Theory and Experiments

Finite-time sliding mode control methods for a class of non-integer-order systems with input saturations and its application

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