Discrete-time sliding mode control using an H∞ filter for a quadruple tank system

Bharani Chandra; Hemnath Srikanthan; Da-Wei Gu; Bijnan Bandyopadhyay; Ian Postlethwaite

doi:10.1109/VSS.2012.6163527

Discrete-time sliding mode control using an H∞ filter for a quadruple tank system

Bharani Chandra, Hemnath Srikanthan, Da-Wei Gu, Bijnan Bandyopadhyay, Ian Postlethwaite

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Citations (Scopus)

Abstract

The quadruple tank system is a challenging multi-variable model consisting of four interconnected tanks, two level sensors and two input pumps. This paper deals with the control and estimation of such a system. All the four levels of the system are controlled by H∞ filter based discrete sliding mode control (SMC). A nonlinear stable sliding surface is constructed using full state information, to enhance the overall performance of the closed loop plant. In this multi-input multi-output quadruple tank system, only the first two states are available for feedback and hence it is not suitable to use any full state feedback control methods directly. To circumvent this problem, the remaining two states, which are required for the SMC design are estimated using a robust H∞ filter. The efficacy of the proposed method is demonstrated by simulations.

Original language	English
Title of host publication	Proceedings of the 2012 12th International Workshop on Variable Structure Systems
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	349-354
ISBN (Print)	978-1457720659
DOIs	https://doi.org/10.1109/VSS.2012.6163527
Publication status	Published - 2012

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title = "Discrete-time sliding mode control using an H∞ filter for a quadruple tank system",

abstract = "The quadruple tank system is a challenging multi-variable model consisting of four interconnected tanks, two level sensors and two input pumps. This paper deals with the control and estimation of such a system. All the four levels of the system are controlled by H∞ filter based discrete sliding mode control (SMC). A nonlinear stable sliding surface is constructed using full state information, to enhance the overall performance of the closed loop plant. In this multi-input multi-output quadruple tank system, only the first two states are available for feedback and hence it is not suitable to use any full state feedback control methods directly. To circumvent this problem, the remaining two states, which are required for the SMC design are estimated using a robust H∞ filter. The efficacy of the proposed method is demonstrated by simulations.",

author = "Bharani Chandra and Hemnath Srikanthan and Da-Wei Gu and Bijnan Bandyopadhyay and Ian Postlethwaite",

note = "Proceedings of the 2012 12th International Workshop on Variable Structure Systems, held in Mumbai, India from 12-14 January 2012.",

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T1 - Discrete-time sliding mode control using an H∞ filter for a quadruple tank system

AU - Chandra, Bharani

AU - Srikanthan, Hemnath

AU - Gu, Da-Wei

AU - Bandyopadhyay, Bijnan

AU - Postlethwaite, Ian

N1 - Proceedings of the 2012 12th International Workshop on Variable Structure Systems, held in Mumbai, India from 12-14 January 2012.

PY - 2012

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N2 - The quadruple tank system is a challenging multi-variable model consisting of four interconnected tanks, two level sensors and two input pumps. This paper deals with the control and estimation of such a system. All the four levels of the system are controlled by H∞ filter based discrete sliding mode control (SMC). A nonlinear stable sliding surface is constructed using full state information, to enhance the overall performance of the closed loop plant. In this multi-input multi-output quadruple tank system, only the first two states are available for feedback and hence it is not suitable to use any full state feedback control methods directly. To circumvent this problem, the remaining two states, which are required for the SMC design are estimated using a robust H∞ filter. The efficacy of the proposed method is demonstrated by simulations.

AB - The quadruple tank system is a challenging multi-variable model consisting of four interconnected tanks, two level sensors and two input pumps. This paper deals with the control and estimation of such a system. All the four levels of the system are controlled by H∞ filter based discrete sliding mode control (SMC). A nonlinear stable sliding surface is constructed using full state information, to enhance the overall performance of the closed loop plant. In this multi-input multi-output quadruple tank system, only the first two states are available for feedback and hence it is not suitable to use any full state feedback control methods directly. To circumvent this problem, the remaining two states, which are required for the SMC design are estimated using a robust H∞ filter. The efficacy of the proposed method is demonstrated by simulations.

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DO - 10.1109/VSS.2012.6163527

M3 - Chapter

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EP - 354

BT - Proceedings of the 2012 12th International Workshop on Variable Structure Systems

PB - IEEE

CY - Piscataway, NJ

ER -

Discrete-time sliding mode control using an H∞ filter for a quadruple tank system

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