Chattering existence and attenuation in fuzzy-based sliding mode control

Prieto, Pablo J.; Cázarez-Castro, Nohé R.; Aguilar, Luis T.; Cardenas-Maciel, Selene L.

doi:10.1016/j.engappai.2017.03.005

Cited by 30 publications

(13 citation statements)

References 20 publications

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“…The main problem of the SMO, as in system (6), is that the discontinuous implementation of sgn function in a real hardware exhibits chattering. Under this scenario, fuzzy inference system represents an alternative in order to avoid the chattering at the output of the observer, also as in system (6) [23,25]. In this case, a fuzzy inference system is designed to replace the set-valued function sgn(•) so that the output y is relaxed.…”

Section: Fuzzy-based Sliding-mode Observermentioning

confidence: 99%

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Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Plata

Prieto

Ramirez-Villalobos

et al. 2020

MCA

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Hyperchaotic systems have applications in multiple areas of science and engineering. The study and development of these type of systems helps to solve diverse problems related to encryption and decryption of information. In order to solve the chaos synchronization problem for a hyperchaotic Lorenz-type system, we propose an observer based synchronization under a master-slave configuration. The proposed methodology consists of designing a sliding-mode observer (SMO) for the hyperchaotic system. In contrast, this type of methodology exhibits high-frequency oscillations, commonly known as chattering. To solve this problem, a fuzzy-based SMO system was designed. Numerical simulations illustrate the effectiveness of the synchronization between the hyperchaotic system obtained and the proposed observer.

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Section: Fuzzy-based Sliding-mode Observermentioning

confidence: 99%

“…Significant researches has been done in this field. For instance, in Reference [22,23], the set-valued function is replaced by a fuzzy inference. In this alternative, the sliding-mode variable represents the input for fuzzy inference system; as a result of that, chattering attenuation is achieved.…”

Section: Introductionmentioning

confidence: 99%

Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Plata

Prieto

Ramirez-Villalobos

et al. 2020

MCA

Self Cite

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“…Therefore, how to eliminating chattering while also increasing the reaching rate has been an important research topic in the field of sliding mode control. [8][9][10][11][12] To solve the chattering problem in sliding mode control systems, many effective researches have been carried out by scholars both in China and abroad. Boundary layer method, [13][14][15] also known as quasisliding mode method, uses saturation function instead of sign function to keep the system state near the field of sliding mode surface, forming a ''quasi-sliding mode.''…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, how to eliminating chattering while also increasing the reaching rate has been an important research topic in the field of sliding mode control. 8–12…”

Section: Introductionmentioning

confidence: 99%

Piecewise fast multi-power reaching law: Basis for sliding mode control algorithm

Yang

Chen

2020

Measurement and Control

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A piecewise fast multi-power reaching law (PFMPRL) is proposed aiming at the problems of chattering and slow convergence in the reaching phase of sliding mode control (SMC). In this paper, the fast power reaching law and the double power reaching law are combined, and a nonlinear function is introduced to design the exponential term in PFMPRL. The proposed method ensures the characteristic of fast convergence of the system at all the phases of tendency. The characteristic of fixed-time convergence has also been satisfied. The study proves that the system state can converge to steady-state error bounds within a finite time in the presence of system uncertainty and bounded external disturbance. Compared with the existed methods, the proposed method has shorter convergence time and smaller steady-state error bound. To suppress the influence of model uncertainty and disturbance in system control, a non-linear disturbance observer (NDO) is introduced, and combined with the reaching law-based non-singular terminal sliding mode control (NTSMC), is applied to the cart inverted pendulum system. Simulation results and numerical analysis verify the effectiveness and superiority of this approach.

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“…The force/position control is through force controller and position controller to realize compliance control [2] . Both force controller and position controller choose fuzzy sliding mode control to realize the positioning precision of the angle and the steady precision of traction force [3,4] , and when the angle of flexion and extension can be changed, the traction force can reach its dynamic precision [5] .…”

Section: Introductionmentioning

confidence: 99%

Research on Control Strategy of Cervical Rehabilitation Robot for Flexible Suspension

Wang¹,

Li²,

Yang³

2018

dtcse

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This paper is based on a self-designed intelligent cervical traction rehabilitation robot. In order to control the flexibility of the rope, as well as the precision of the rope traction force and the angle of the flexion and extension movement of the cervical spine, a force/position hybrid control method is adopted in this paper. In order to solve the dynamic precision of the traction force and improve the stability and robustness of the system, the force/position control force controller and the position controller are selected by the fuzzy sliding mode control. The combination of fuzzy control and sliding mode control improves the accuracy and attenuate chattering. Experimental verification shows that the accuracy requirement and tractive force compliance control can be achieved.

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Chattering existence and attenuation in fuzzy-based sliding mode control

Cited by 30 publications

References 20 publications

Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

Piecewise fast multi-power reaching law: Basis for sliding mode control algorithm

Research on Control Strategy of Cervical Rehabilitation Robot for Flexible Suspension

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