LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

Mnasri, Chaouki; Gasmi, Moncef

doi:10.2478/v10006-011-0047-5

Cited by 14 publications

(9 citation statements)

References 12 publications

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“…Though, no one of them is directly applicable in the presence of the mismatched disturbances and the norm-bounded nonlinearities which are not related to the input channel. An original approach based on ISMC associated to LMI approach and H characterization has been, recently, developed [13,14]. The considered class of uncertain systems can cover large sets of systems; indeed, the mismatched uncertainties in both state and input matrices, the norm-bounded nonlinearities and external disturbances have been investigated by this approach.…”

Section: Introductionmentioning

confidence: 99%

Robust Decentralized Adaptive Fuzzy Integral Sliding Mode Control of Mismatched Uncertain Large-scale Systems

Mnasri¹,

Gasmi²

2019

ijeei

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The objective of this paper is to propose a robust decentralized adaptive fuzzy integral sliding mode control of interconnected uncertain systems. Uncertainties, disturbances and interconnections are of mismatched type. The approach, which will be considered, benefits from the advantages of the integral sliding mode compared to traditional sliding mode. Moreover, it combines the LMI technique with the sliding mode to design a sliding surface guaranteeing the satisfaction of H infinity robustness criterion. The proposed local controllers designed for each subsystem guaranty the quadratic stability of the global system. The second task considered in this work is the synthesis of an adaptive fuzzy control scheme allowing the elimination of the phenomenon of chattering and the estimation of the controller parameters. The effectiveness and the useful of the obtained results will be discussed through numerical example.

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Section: Introductionmentioning

confidence: 99%

Robust Decentralized Adaptive Fuzzy Integral Sliding Mode Control of Mismatched Uncertain Large-scale Systems

Mnasri¹,

Gasmi²

2019

ijeei

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“…When the controller is applied to real systems, disturbances and uncertainties must be absolutely considered and examined. Thus, they cause instability in the control system [8].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, classical RC has been associated and integrated with many robust control techniques [15]- [21] such as backstepping control, adaptive robust control, H  control, and sliding mode control (SMC). Referring to offered [8], [22], SMC has been looked as a good robust technique, especially for its insensibility to uncertainties satisfying the matching condition. Besides, SMC can offer good transient performance, fast response, and order reduction.…”

Section: Introductionmentioning

confidence: 99%

Repetitive Control based on Integral Sliding Mode Control of Matched Uncertain Systems

Toujeni¹,

Mnasri²,

Gasmi³

2018

ijacsa

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This paper proposed an integral sliding mode control scheme based on repetitive control for uncertain repetitive processes with the presence of matched uncertainties, external disturbances and norm-bounded nonlinearities. A new method based on the combination of repetitive control and sliding mode approach is studied in order to use the robustness sensibility property of the sliding mode control to matched uncertainties and disturbances and to cancel gradually tracking error for periodic processes. A sufficient condition of the existence of sliding mode is studied based on basic repetitive control and a sliding mode controller is synthesized through linear matrix inequalities, which guarantees the stability along the periods of the controlled closed-loop process and the reachability of the sliding surface is ensured. Then, an adaptive integral sliding mode controller is synthesized to improve performances of the proposed control scheme. The effectiveness of the proposed controlled design schemes is proved by the use of a third order uncertain mechanical system and the simulation results using the new approaches give good performances.

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“…The sliding mode approach was originally proposed for controller design (Emelyanov, 1967;Gao et al, 1995;Hung et al, 1993;Levant, 1993;Mnasri and Gasmi, 2011;Sira-Ramirez, 1993;Tomera, 2010;Utkin, 1977;Utkin and Shi, 1996). However, sliding mode techniques can also be used in state observers (Edwards and Spurgeon, 1994;Edwards et al, 2012;Floquet et al, 2007;Fridman et al, 2007;Haskara et al, 1998;Veluvolu and Soh, 2009).…”

Section: Introductionmentioning

confidence: 99%

An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links

Bartoszewicz

Leśniewski

2014

International Journal of Applied Mathematics and Computer Science

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A new discrete-time sliding-mode congestion controller for connection-oriented networks is proposed. Packet losses which may occur during the transmission process are explicitly taken into account. Two control laws are presented, each obtained by minimizing a different cost functional. The first one concentrates on the output variable, whereas in the second one the whole state vector is considered. Weighting factors for adjusting the influence of the control signal and appropriate (state or output) errors are incorporated in both the functionals. The asymptotic stability of the closed-loop system is proved, and the conditions for 100% bottleneck node bandwidth utilization are derived. The performance of the proposed algorithm is verified by computer simulations.

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LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

Cited by 14 publications

References 12 publications

Robust Decentralized Adaptive Fuzzy Integral Sliding Mode Control of Mismatched Uncertain Large-scale Systems

Robust Decentralized Adaptive Fuzzy Integral Sliding Mode Control of Mismatched Uncertain Large-scale Systems

Repetitive Control based on Integral Sliding Mode Control of Matched Uncertain Systems

An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links

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