A generalized reaching law with different convergence rates

Chakrabarty, Sohom; Bandyopadhyay, B.

doi:10.1016/j.automatica.2015.10.018

Cited by 70 publications

(19 citation statements)

References 9 publications

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“…In time, this idea found to be applicable also in the discrete-time domain [17]. From that moment, this approach was studied by a variety of researchers [2], [5][6][7], [10], [13], [20][21][22], [24], [26], [30]. This method became popular due to allowing enhanced control over the system's dynamics during the reaching phase.…”

Section: Introductionmentioning

confidence: 99%

Constraining State Variables and Control Signal via Sliding Mode Control Approach

Jaskula

Leśniewski

2020

IEEE Access

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In this paper the issue of constraining the control input and the state variables in continuoustime systems via sliding mode control was considered. The sliding mode controller was designed using the reaching law technique. Further, the time-varying convergence rate was selected so that the fastest, finitetime, monotonic convergence of the state to the predefined sliding hyperplane simultaneously satisfying both control input and state limitations is ensured. Sufficient condition that guarantees these properties was presented and proved. INDEX TERMS continuous-time systems, control input constraint, sliding mode control, state constraint

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Section: Introductionmentioning

confidence: 99%

Constraining State Variables and Control Signal via Sliding Mode Control Approach

Jaskula

Leśniewski

2020

IEEE Access

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“…The sliding mode is well known robust control strategy which has many advantages such as invariance to matched parametric uncertainties/disturbance, simpler design technique, and system order-reduction (Alsmadi, Utkin, Haj-ahmed, & Xu, 2018;Bandyopadhyay & Janardhanan, 2005;Behera & Bandyopadhyay, 2016;Drakunov & Utkin, 1992;Draženović, 1969;Sharma & Janardhanan, 2017a;Utkin, 1977;Utkin & Poznyak, 2013). The recent developments and application of microcontrollers in the control circuitry has made the utilisation of discrete-time system representation more justifiable for controller design than continuous-time representation (Chakrabarty & Bandyopadhyay, 2016;Corradini, Cristofaro, & Orlando, 2014;Huber et al, 2016;Lincoln & Veres, 2010;Sharma & Janardhanan, 2017b;Yu, Wang, & Li, 2012). Furthermore, the application of sliding mode technology to control discrete-time systems like inventory management, flow control for connection-oriented communication networks, etc.…”

Section: Introductionmentioning

confidence: 99%

New design methodology for adaptive switching gain based discrete-time sliding mode control

Sharma

Roy

Janardhanan

2019

International Journal of Control

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The adaptive sliding mode control technique relaxes the assumption of known bound of the disturbance in discrete-time systems. However, the existing technique of gain adaptation in discrete-time sliding mode control has issues of gain overestimation and underestimation. Therefore, this paper proposes a technique to adapt the switching gain such that the adaptive gain can tackle the uncertainty without any knowledge of the bound of uncertainty while overcoming the over-and underestimation problems of switching gain.

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“…Their strategy has been further developed in the work of Bartoszewicz,15 and later on, several new reaching laws have been introduced. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] However, systems controlled according to the Gao's reaching law exhibit only limited robustness to external disturbances. Therefore, in order to reduce the impact of perturbations on the system, in our study, we propose a model reference control strategy based on Gao's method.…”

Section: Introductionmentioning

confidence: 99%

Model reference discrete‐time variable structure control

Bartoszewicz

Adamiak

2018

Adaptive Control & Signal

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This paper presents a new reaching law-based model reference quasi-sliding mode control strategy for discrete-time dynamical systems. The strategy ensures the quasi-sliding mode attributes defined in the seminal paper of Gao et al, but at the same time, it offers essentially improved system robustness. In particular, it is demonstrated that the application of the reference model results in the decreased width of the quasi-sliding mode band and guarantees smaller errors of all state variables. KEYWORDS discrete-time systems, model reference sliding mode control, reaching law 1440

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A generalized reaching law with different convergence rates

Cited by 70 publications

References 9 publications

Constraining State Variables and Control Signal via Sliding Mode Control Approach

Constraining State Variables and Control Signal via Sliding Mode Control Approach

New design methodology for adaptive switching gain based discrete-time sliding mode control

Model reference discrete‐time variable structure control

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