Generalization of Gao's Reaching Law for Higher Relative Degree Sliding Variables

Bartoszewicz, Andrzej; Latosiński, Paweł

doi:10.1109/tac.2018.2797193

Cited by 50 publications

(33 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since these discrete‐time systems are inherently discrete, the control techniques designed for continuous‐time systems cannot be applied in discrete‐time systems directly. Simultaneously, a considerable amount of research on discrete‐time sliding mode (DSM) controller design has been done . In the case of discrete‐time systems, the control input can be applied only at certain sampling instants.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, it has been proved that discrete‐time higher‐order sliding mode (DHOSM) control has better smoothness as well as robustness as compare to the first‐order sliding mode . Therefore, DHOSM control has received increased attention of the control community . There are two major frameworks in designing higher‐order sliding mode for discrete‐time system.…”

Section: Introductionmentioning

confidence: 99%

“…Following the second framework, Sharma and Janardhanan defined the concept of DHOSM and designed a DHOSM control technique. Furthermore, a few DHOSM algorithms have also been reported …”

Section: Introductionmentioning

confidence: 99%

“…In spite of the increased utility of DHOSM controllers, the existing DHOSM control techniques are designed considering only matched uncertainty. These existing DHOSM control techniques are not suitable for the systems with unmatched uncertainty due to the following reasons.…”

Section: Introductionmentioning

confidence: 99%

“…sliding mode (DSM) controller design has been done. [19][20][21][22] In the case of discrete-time systems, the control input can be applied only at certain sampling instants. Due to finite-time sampling frequency, the system may not move on the sliding surface or may switch about the sliding surface at each sample.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Discrete‐time higher‐order sliding mode control of systems with unmatched uncertainty

Sharma

Janardhanan

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary The research on discrete‐time higher‐order sliding mode has received a considerable attention recently. Systems with unmatched uncertainties are common in practice; however, the existing discrete‐time higher‐order sliding mode control algorithms are designed considering only matched uncertainty. This paper proposes a technique to design discrete‐time higher‐order sliding mode control for an uncertain LTI system in the presence of unmatched uncertainty. The proposed technique is numerically simulated and experimentally validated on an electromechanical rectilinear plant. Various experiments are conducted considering the several operational conditions of electromechanical systems in industries to verify the performance of the proposed controller.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Following the second framework, Sharma and Janardhanan defined the concept of DHOSM and designed a DHOSM control technique. Furthermore, a few DHOSM algorithms have also been reported …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Discrete‐time higher‐order sliding mode control of systems with unmatched uncertainty

Sharma

Janardhanan

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

Design of a global discrete‐time sliding mode control scheme for a class of nonlinear systems with state delays and uncertainties

Sarvi

Mobayen

Fekih

et al. 2021

Asian Journal of Control

View full text Add to dashboard Cite

This paper proposes a discrete‐time sliding mode control design for a class of discrete‐time dynamic systems with time delays, parameter uncertainties, and external disturbances. The robust design implements an adaptive discrete‐time reaching law in order to reduce the effect of the chattering phenomena and improve system robustness. It also considers a lumped disturbance function for the unknown parameters and time‐delayed terms in order to estimate both at the same time. Additionally, the proposed sliding function ensures that the states of the control system are put on the switching surface right from the beginning, thus eliminating the reaching phase. The effectiveness of the proposed scheme was assessed using the longitudinal and lateral dynamics of an Osprey plane model. The obtained results indicated that the proposed approach guarantees system stability and ensures excellent tracking performance in the simultaneous presence of time delays, parameter uncertainties, and external disturbances.

show abstract

Lyapunov stability analysis of an RMRAC‐based adaptive sigmoid super‐twisting sliding mode under matched and unmatched uncertainties

Vieira Hollweg,

Dias de Oliveira Evald,

Grundling

et al. 2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article presents a discrete‐time robust model reference adaptive controller and adaptive sigmoid super‐twisting sliding mode (RMRAC‐ASSTSM) and its stability analysis using Lyapunov stability theory. This control structure is robust to matched and unmatched dynamics. In addition, the chattering phenomenon tends to be suppressed in the steady state due to adaptive super‐twisting sliding mode action using a sigmoid function. The performance of the proposed control structure is corroborated with simulation results, considering a second‐order non‐minimum phase unstable plant, where it can be seen that RMRAC‐ASSTSM regulation errors converge to a finite residual set when the plant presents unmodeled dynamics. A comparison is also presented with a similar RMRAC‐based control structure with an adaptive super‐twisting sliding mode implemented with a sign function.

show abstract

Generalization of Gao's Reaching Law for Higher Relative Degree Sliding Variables

Cited by 50 publications

References 31 publications

Discrete‐time higher‐order sliding mode control of systems with unmatched uncertainty

Discrete‐time higher‐order sliding mode control of systems with unmatched uncertainty

Design of a global discrete‐time sliding mode control scheme for a class of nonlinear systems with state delays and uncertainties

Lyapunov stability analysis of an RMRAC‐based adaptive sigmoid super‐twisting sliding mode under matched and unmatched uncertainties

Contact Info

Product

Resources

About