An Integral Sliding Mode-Based Robust Consensus Control Protocol Design for Electro-Mechanical Systems

Khan, Qudrat; Akmeliawati, Rini; Khan, Madad

doi:10.24846/v27i2y201802

Cited by 6 publications

(8 citation statements)

References 20 publications

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“…In order to find the optimal solution, a different approach, which involves the framework of Lie algebroids, will be used. The Pontryagin Maximum Principle will be applied for the Lie algebroid ∆ = E (holonomic distribution with constant rank), the state space is , (9) which is a linear nonhomogeneous second order differential equation. From the linear homogeneous differential equation and from the characteristic equation ,with solutions , the general solution of the homogeneous differential equation can be obtained:…”

Section: (7)mentioning

confidence: 99%

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Applications of Driftless Control Affine Systems to a Problem of Inventory and Production

Popescu¹

2019

STUD INFORM CONTROL

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In this paper, the framework of driftless control affine systems has been used for the study of inventory and production problems. A mathematical model for an economic problem was built by using some optimal control techniques. For the controllability issue of the optimal control system, which involves restrictions on the final quantities required, the Lie geometric methods have been applied. In order to find the optimal solution, the Pontryagin Maximum Principle has been used at the level of a Lie algebroid, which in this case consists in an integrable distribution of the tangent space. Finally, a numerical example is presented.

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Section: (7)mentioning

confidence: 99%

“…LaValle (2006) presented a unified treatment of control theory including holonomic and nonholonomic systems. Some type of control mechanical systems are investigated by Popescu (2018) or Khan, Akmeliawati & Khan (2018).…”

Section: Introductionmentioning

confidence: 99%

Applications of Driftless Control Affine Systems to a Problem of Inventory and Production

Popescu¹

2019

STUD INFORM CONTROL

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“…This can be achieved via robust integral switching manifold approach. 29 The proposed integral sliding manifold can be represented as follows…”

Section: Control Law Designmentioning

confidence: 99%

Glucose–insulin stabilization in type-1 diabetic patient: A uniform exact differentiator–based robust integral sliding mode control approach

Alam

Khan

Riaz

et al. 2019

International Journal of Distributed Sensor Networks

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Diabetes mellitus is a persistent metabolic syndrome caused by impaired capability of the body's production and usage of insulin. This impaired capability results in chronic hyperglycaemia, the elevated glucose concentration in the bloodstream, which may lead to many incurable complications. To escape this dire situation, a proper model-based exogenous infusion of insulin bolus is required, which is usually established via different feedback control strategies. In this article, the authors present a mathematical model-based robust integral sliding mode control approach for stabilization of internal glucose-insulin regulatory system in type-1 diabetic patient. Since the state variables of the system are not directly available to the controller, a uniform exact differentiator observer is employed to accomplish the aforementioned task. In the proposed control law, the incorporation of integral term in the switching manifold eliminates the reaching phase, which causes the sliding mode to establish from the very initial point, thus enhances the robustness property of the proposed control scheme. Moreover, the chattering problem is also substantially suppressed to a considerable extent along a defined manifold. To verify the theoretical analysis, the proposed control law is verified via computer simulations which demonstrate the effectiveness of the proposed control law against the external perturbations, that is, unannounced meal intake and physical exercise.

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“…Moreover, some interesting results via the synergy of ISMC and FS could be extracted which will be more appealing and practical. An ISMC based distributed control protocols, subject to directed graph and fixed topology, were developed for networked uncertain nonlinear systems in the presence of matched uncertainties [21]. This strategy eliminate reaching phase which, consequently, resulted in enhanced robustness.…”

Section: Introductionmentioning

confidence: 99%

“…In this article, the ISMC control protocol design [21] is extended to a class of networked higher order uncertain nonlinear systems. It inherits the features like sliding mode enforcement from the very start which, consequently, develops robustness against (results in invariance to) parametric variations and disturbances from the very start.…”

Section: Introductionmentioning

confidence: 99%

Integral Sliding Mode Strategy for Robust Consensus of Networked Higher Order Uncertain Non Linear Systems

2019

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This paper focuses on an integral sliding mode technique-based consensus control protocol design for networked high order uncertain nonlinear systems. The nonlinear agents (nodes), which comprises of a leader and followers are networked via a fixed topology with a directed graph. A consensus among the leader and followers is achieved by first defining consensus error dynamics and then an integral manifold based distributed control protocols are designed. These distributed protocols steer the respective consensus error dynamics to equilibrium even in the presence of uncertainties. The robustness is achieved from the very start of the process by enforcing sliding mode at the initial time instant. The sliding mode enforcement and the closed loop stability analysis are presented in the form of a theorem. The theoretical results are verified via the simulation results of a numerical example.INDEX TERMS Networked control systems, nonlinear systems, robustness, sliding mode control, uncertain systems.

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An Integral Sliding Mode-Based Robust Consensus Control Protocol Design for Electro-Mechanical Systems

Cited by 6 publications

References 20 publications

Applications of Driftless Control Affine Systems to a Problem of Inventory and Production

Applications of Driftless Control Affine Systems to a Problem of Inventory and Production

Glucose–insulin stabilization in type-1 diabetic patient: A uniform exact differentiator–based robust integral sliding mode control approach

Integral Sliding Mode Strategy for Robust Consensus of Networked Higher Order Uncertain Non Linear Systems

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