Reaching Law Based Discrete Time Sliding Mode Inventory Management Strategy

Bartoszewicz, Andrzej; Latosiński, Paweł

doi:10.1109/access.2016.2633618

Cited by 14 publications

(7 citation statements)

References 21 publications

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“…For convenience, the convergence process of the single power reaching law is also divided into four stages: (5), the reaching steps can be obtained…”

Section: Proofmentioning

confidence: 99%

“…It has many attractive merits like easy realization, quick response and especially the invariability to parameter uncertainties and external disturbances [4]. Nowadays, more and more control methods are performed in the sampled-data system, the study on discrete-time SMC (DSMC) has attracted the attention of many researchers [5]. It is notable that, the properties valid for continuous-time SMC are incapable of extending directly to its discrete-time counterpart because of the finite sampling rate in the sampled-data system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control

2019

IEEE Access

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This paper proposes a multi-power reaching law-based sliding-mode control (SMC) for uncertain discrete-time systems. The proposed controller mainly consists of the multi-power function along with the perturbation estimation. Different from the existing similar works, the control gains of the controller are adaptively adjusted by the multi-power function, i.e., three power terms, according to different stages of the convergence process. Hence, the system trajectory of the controlled system can be forced toward the sliding surface with a faster convergence rate. The corresponding sliding-mode dynamics and the reaching steps to the sliding surface are theoretically analyzed. A practical example is given to examining the validity of the proposed method. The simulation results show that the proposed method reduces the reaching steps while guaranteeing better control accuracy than the single power method. INDEX TERMS Multi-power function, discrete-time sliding-mode control (DSMC), reaching law.

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“…For convenience, the convergence process of the single power reaching law is also divided into four stages: (5), the reaching steps can be obtained…”

Section: Proofmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control

2019

IEEE Access

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“…Let i = 2 i ; substituting (25) and (26) into (24) leads to V(k + 1) − V(k) < − i . Therefore, the sliding motion exists, and also, there exists a positive integerk such that s i (k) > i and s i (k + 1) < i .…”

Section: Lemma 1 Consider the Real Functionmentioning

confidence: 99%

“…By properly designing the reaching law, the revolution of sliding variable can be significantly improved, and the chattering will be better suppressed. Several different reaching law approaches have been proposed [25][26][27] ; however, the derived bound of sliding variable is always fixed, and there is lack of adjustable reaching law to alleviate the chattering by tuning the parameters. Therefore, this motivates us to design a novel adjustable reaching law such that the response of sliding variable can be improved and the chattering can be better suppressed.…”

Section: Introductionmentioning

confidence: 99%

Novel sliding mode control for multi‐input–multi‐output discrete‐time system with disturbance

Hou

2018

Intl J Robust & Nonlinear

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This paper investigates sliding mode control for multi-input-multi-output discrete-time system with disturbances. First of all, a novel nonlinear sliding surface, named as hyperbolic hybrid switching sliding surface, is proposed. Two different types of hyperbolic functions are introduced into the proposed sliding surface. Due to the changing of values of the hyperbolic functions, sliding surface switching occurs during the control process, which ensures that both settling time and overshoot can be decreased. The sliding mode controller is obtained based on a novel nonlinear reaching law. The nonlinear reaching law contains several parameters, and by properly designing these parameters, we can decrease the bounds of the sliding variables to small values. The stability analysis of the sliding motion is carried out from singular system viewpoint. Finally, simulation examples and comparison examples are presented to illustrate that the system performance is improved obviously by proposed novel sliding mode control, and the system is robust to the disturbances.

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“…Recently, sliding mode control (SMC) [13]- [18] has been widely used in engine control. Compared with traditional PID control, SMC method is more suitable for dynamic control process due to its ability of handling the effect of the sliding frictions and air flow pressure torque of the ET system, which means it can ensure a good tracking performance and strong robustness.…”

Section: Introductionmentioning

confidence: 99%

A Robust Adaptive Chattering-Free Sliding Mode Control Strategy for Automotive Electronic Throttle System via Genetic Algorithm

Ye¹,

Wang²

2020

IEEE Access

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A robust adaptive chattering-free sliding mode (ACFSM) control method for electronic throttle (ET) system is proposed in this paper. It is well known that nonlinearities in the throttle system including friction, return-spring, limp-home (LH) and gear backlash affect the control accuracy of the throttle valve. Compared with the traditional sliding mode control methods, the ACFSM control not only overcomes the influence of nonlinearities and parameter uncertainties in the ET system, but also eliminates chattering in nature such that excellent throttle tracking performance and robustness are maintained. The proposed ACFSM control method is superior to the traditional sliding mode control in the following two aspects: 1) The chattering-free sliding mode control method is able to attenuate the control chattering without weakening the output tracking performance and robustness. 2) The upper bounds of the uncertainty and disturbance are not required any more in control design. They are online estimated by the adaptive law in the sense of Lyapunov. Moreover, due to the difficulty in selecting proper control parameters, the genetic algorithm (GA) is introduced to optimate the control parameters for the ACFSM controller prior to practical implementation. The comparative experimental results are given to demonstrate the excellent control performance of the proposed ACFSM control. INDEX TERMS Adaptive chattering-free sliding mode (ACFSM), electronic throttle (ET) system, the genetic algorithm (GA), robustness property.

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Reaching Law Based Discrete Time Sliding Mode Inventory Management Strategy

Cited by 14 publications

References 21 publications

Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control

Multi-Power Reaching Law Based Discrete-Time Sliding-Mode Control

Novel sliding mode control for multi‐input–multi‐output discrete‐time system with disturbance

A Robust Adaptive Chattering-Free Sliding Mode Control Strategy for Automotive Electronic Throttle System via Genetic Algorithm

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