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On Digital Implementation of Continuous Sliding Mode control

On Digital Implementation of Continuous Sliding Mode Control

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Annual Conference of the IEEE Industrial Electronics Society

作者： S. Chakrabarty B. Bandyopadhyay Interdisciplinary Programme in Systems and Control Engg. Indian Institute of Technology Bombay

ISBN: (纸本)9781479902255

The paper presents some new results on digital implementation of sliding mode control when designed from a continuous time system. When a continuous sliding mode control is digitally implemented, it cannot bring the sliding variable to the surface in finite time and stay there, but the sliding variable remains within an ultimate band around the surface. Analysis is done which relates such an ultimate band with the continuous controller parameters. If the controller parameters are chosen accordingly, one can be sure that the sliding motion will remain inside the specified ultimate band, and hence stability can be assured for such a digital implementation of the continuous sliding mode control.

关键词： Discretized system Sliding mode control Quasi-sliding mode Ultimate band Variable structure systems Sliding Digit digitally Digital

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Discrete time sliding mode control with minimal quasi sliding mode band

Discrete time sliding mode control with minimal quasi slidin...

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2012 12th International Workshop on Variable Structure systems, VSS 2012

作者： Chakrabarty, S. Bandyopadhyay, B. Interdisciplinary Programme in Systems and Control Engg. Indian Institute of Technology Bombay India

ISBN: (纸本)9781457720666

A new approach is presented to analyze sliding mode control in discrete-time systems using an established reaching law, whereby the ultimate band is obtained to be lesser than any previous analysis done with the same reaching law. Also, the controller parameters are evaluated according to the ultimate band that is desired. The approach begins with defining several bands in the space of the surface variable, which are key to understanding the dynamics of it. Conditions on these band values are key to assigning appropriate values to the controller parameters. The switching gain obtained in this way comes out to be negative contradicting popular notion of non-negative switching gains used in sliding mode control. A case is also studied where the states measured contribute a quantization error in the system dynamics. The idea developed in analyzing the case without quantization is used while dealing with it. © 2012 IEEE.

关键词： State feedback

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Arbitrary higher order sliding mode control based on control Lyapunov approach

Arbitrary higher order sliding mode control based on control...

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2012 12th International Workshop on Variable Structure systems, VSS 2012

作者： Kamal, S. Bandyopadhyay, B. Interdisciplinary Programme in Systems and Control Engg. Indian Institute of Technology Bombay India

ISBN: (纸本)9781457720666

This paper proposes an arbitrary higher order sliding mode controller for uncertain minimum phase nonlinear systems. The stability proof of the suggested scheme is analyzed in terms of two Lyapunov functions. Using these two Lyapunov functions it is proved that, output and its higher order derivatives converge to origin in finite time. Simulation results prove the efficiency of the proposed method. © 2012 IEEE.

关键词： Lyapunov functions

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Finite Time Stabilization of Fractional Order Uncertain Chain of Integrator: A Sliding Mode Approach

Finite Time Stabilization of Fractional Order Uncertain Chai...

引用

IEEE Interantional Conference on Industrial Technology

作者： S. Kamal Arun Raman B. Bandyopadhyay Interdisciplinary Programme in Systems and Control Engg. Indian Institute of Technology Bombay India

ISBN: (纸本)9781467303408

In this paper, a novel method for finite time stabilization of a chain of uncertain fractional order integrator is proposed for the first time. This is accomplished by first designing a controller which is capable of stabilizing the disturbance free states of the system in finite time. Then a suitable sliding surface is designed such that when the system slides on it, the designed controller is transferred to act on the disturbance free states. After that, by switched sliding surface mechanism the remaining state which is affected by the disturbance is also stabilized.

关键词： Fractional order integrator Sliding mode control Finite time stabilization

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Super-twisting-like algorithm in discrete time nonlinear systems

Super-twisting-like algorithm in discrete time nonlinear sys...

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2011 International Conference on Advanced Mechatronic systems, ICAMechS 2011

作者： Salgado, I. Kamal, S. Chairez, I. Bandyopadhyay, B. Fridman, L. Department of Bioprocesses Professional Interdisciplinary Unit of Biotechnology IPN Mexico City Mexico Interdisciplinary Programme in Systems and Control Engg. Indian Institute of Technology Bombay India Engineering Faculty National Autonomous University of Mexico Mexico City Mexico

ISBN: (纸本)9780955529375

A new discrete time super-twisting-like second order sliding mode algorithm (DSTA) is proposed. The stability proof of the suggested scheme is analyzed in terms of the discrete Lyapunov approach and Linear Matrix Inequalities (LMI) theory. Using these two tools it is proved that, system state trajectory is ultimately bounded in finite time. The state estimation problem for a class of second order discrete time system has been proposed to show the positive settings obtained from the algorithm introduced here. Also, the ultimate boundedness of the estimation error is demonstrated despite the presence of bounded perturbations. Simulation results illustrates the efficacy of this new discrete-time algorithm. © 2011 Intl Journal of Adv Mechatr.

关键词： Linear matrix inequalities

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Super-twisting-like algorithm in discrete time nonlinear systems

Super-twisting-like algorithm in discrete time nonlinear sys...

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International Conference on Advanced Mechatronic systems (ICAMechS)

作者： I. Salgado S. Kamal I. Chairez B. Bandyopadhyay L. Fridman Department of Bioprocesses Professional Interdisciplinary Unit of Biotechnology IPN Mexico City Mexico Interdisciplinary Programme in Systems and Control Engg Indian Institute of Technology Bombay India Engineering Faculty National Autonomous University of Mexico Mexico City Mexico

关键词： Sliding mode control Observers Nonlinear dynamical systems Equations Trajectory Mathematical model

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Design of state charts and implementation using VHDL

Design of state charts and implementation using VHDL

引用

SICE Annual Conference 2005

作者： Manjunath, T.C. Jayaramaiah, G.V. Interdisciplinary Programme in Systems and Control Engineering Indian Institute of Technology Bombay Powai Mumbai-400076 Maharashtra India Electrical Engg. Dept. Dr. Ambedkar Institute of Tech. Bangalore India

This paper presents the design of state charts for 4 types of systems, viz., a voice-mailing system, a washing machine, a microwave oven and a fax system. Once the state chart is drawn, a software is designed which wi... 详细信息

关键词： Washing machines

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