Improved robustness and performance of discrete time sliding mode control systems

Chakrabarty, Sohom; Bartoszewicz, Andrzej

doi:10.1016/j.isatra.2016.08.006

Cited by 61 publications

(30 citation statements)

References 17 publications

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“…Higher relative degree-based reaching laws are explored in the search for better robustness in terms of ultimate band and finding the benefits of using the delayed output instead of using the current output of interest. Many advancements are done in this domain [13][14][15][16][17]. But here only the relative degree two (RD2) is explained briefly.…”

Section: Relative Degree Two Discrete-time Sliding Variablementioning

confidence: 99%

“…Hence where c 2 is a design parameter. The next step is to choose the RD2 reaching law [13]: less than ultimate band found in the case of Gao's reaching law as 0:4544 shown in Figure 4. Time series data of RD2 sliding variable is shown in Figure 14, and the magnified part is shown in Figure 15.…”

Section: Relative Degree Two Discrete-time Sliding Variablementioning

confidence: 99%

“…Control input is derived as ðÞ¼0 and x 2 k ðÞ¼0 in the same time instant. This is shown in [13]. In the presence of disturbance, finite time bounded stability is achieved instead of finite time stability [13].…”

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confidence: 99%

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Discrete Time Sliding Mode Control

Samantaray¹,

Chakrabarty²

2020

Control Theory in Engineering [Working Title]

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This chapter discusses the concept of discrete-time sliding mode control (DTSMC) and its design procedure. It also covers how the states are brought to a predefined sliding surface mathematically and kept in a region near to the surface within a small band. This band is termed as an ultimate band in the field of DTSMC, which denotes the degree of robustness. Researchers have been working to find out different approaches to reach to that surface, but the most promising and welldefined way is reaching law approach. The idea of reaching law is discussed briefly in this chapter with examples for better understanding of the design procedure. In this chapter, a small introduction of continuous time sliding mode control (CTSMC) is given. Finally, the current state of the art is presented.

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Section: Relative Degree Two Discrete-time Sliding Variablementioning

confidence: 99%

Section: Relative Degree Two Discrete-time Sliding Variablementioning

confidence: 99%

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Discrete Time Sliding Mode Control

Samantaray¹,

Chakrabarty²

2020

Control Theory in Engineering [Working Title]

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“…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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“…Originally, the reaching law method was introduced for continuous time systems [19], and then developed for discrete time ones [20]. Recently, a large number of new reaching laws were presented [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%