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

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.

[1]  Francis J. Doyle,et al.  Distributed model predictive control of an experimental four-tank system , 2007 .

[2]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[3]  Karl Henrik Johansson,et al.  The quadruple-tank process: a multivariable laboratory process with an adjustable zero , 2000, IEEE Trans. Control. Syst. Technol..

[4]  Xuemin Shen,et al.  Game theory approach to discrete H∞ filter design , 1997, IEEE Trans. Signal Process..

[5]  Peter S. Maybeck,et al.  Stochastic Models, Estimation And Control , 2012 .

[6]  Jøgen K. Johnsen,et al.  Interconnection and Damping Assignment Passivity-Based Control of a Four-Tank System , 2007 .

[7]  Fuwen Yang,et al.  Mobile robot localization using robust extended H∞ filtering , 2009 .

[8]  Subhabrata Ray,et al.  Sliding mode control of quadruple tank process , 2009 .

[9]  Chee Pin Tan,et al.  Sliding mode observers for fault detection and isolation , 2002 .

[10]  D. Luenberger.  An introduction to observers , 1971 .

[11]  Francis J. Doyle,et al.  Robust Control of a Multivariable Experimental Four-Tank System , 2001 .

[12]  Bijnan Bandyopadhyay,et al.  High-Performance Tracking Controller for Discrete Plant Using Nonlinear Sliding Surface , 2009, IEEE Transactions on Industrial Electronics.

[13]  Zoltan K. Nagy,et al.  Nonlinear model predictive control of a four tank system: an experimental stability study , 2006, 2006 IEEE International Conference on Control Applications.

[14]  Bijnan Bandyopadhyay,et al.  Sliding Mode Control Using Novel Sliding Surfaces , 2009 .

[15]  Biao Huang,et al.  Estimation of States of Nonlinear Systems using a Particle Filter , 2006, 2006 IEEE International Conference on Industrial Technology.

[16]  Faouzi M'Sahli,et al.  A set of observers design to a quadruple tank process , 2008, 2008 IEEE International Conference on Control Applications.

[17]  J. Speyer,et al.  A Linear-Quadratic Game Approach to Estimation and Smoothing , 1991, 1991 American Control Conference.