A Discrete Integral Sliding Mode Controller for I/O Nonlinear Hammerstein systems

Blocks oriented models are the most structure used to describe nonlinear systems. These models are composed with two blocks: the first is a nonlinear part and the second is a linear part. Hammerstein model is one of block oriented models. Recently, the design of sliding mode control (SMC) in discrete-time for nonlinear systems is done using this structure. However, SMC suffer from a major problem: the chattering phenomenon. So, this work proposes to synthesize an integral sliding function to control nonlinear systems using Input/Output (I/O) Hammerstein structure in order to remove the chattering phenoenon. The effenciency of the proposed DISMC in terms of chattering phenomenon minimisation was verified by a simulation example and results are given at the end of this paper.

[1]  W. R. Cluett,et al.  Linearizing feedforward-feedback control of pH processes based on the Wiener model , 2005 .

[2]  A. Eisinberg,et al.  Hammerstein Modeling of Electrical Drives: Identification by Multiple Integrators , 2007, 2007 International Conference on Power Engineering, Energy and Electrical Drives.

[3]  Hamid Khaloozadeh,et al.  An effective approach to nonlinear Hammerstein model identification using evolutionary neural network , 2004, 2004 IEEE International Joint Conference on Neural Networks (IEEE Cat. No.04CH37541).

[4]  E. Bai,et al.  Block Oriented Nonlinear System Identification , 2010 .

[5]  Jungsang Kim,et al.  Digital predistortion of wideband signals based on power amplifier model with memory , 2001 .

[6]  Chong Lin,et al.  Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems , 2018, IEEE Transactions on Fuzzy Systems.

[7]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[8]  K. R. Goheen,et al.  Discrete Time Sliding Mode Control Via Input-Output Models , 1993, 1993 American Control Conference.

[9]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[10]  Khadija Dehri,et al.  Indirect adaptive sliding mode control for uncertain discrete Hammerstein systems using inverse nonlinear function , 2017, 2017 6th International Conference on Systems and Control (ICSC).

[11]  Chekib Ghorbel,et al.  Identification and Nonlinear PID Control of Hammerstein Model using Polynomial Structures , 2017 .

[12]  Nouri Ahmed Said,et al.  Stability Analysis of Discrete Integral Sliding Mode Control for Input–Output Model , 2017 .

[13]  Daniel G. Sbarbaro-Hofer,et al.  An adaptive sliding-mode controller for discrete nonlinear systems , 2000, IEEE Trans. Ind. Electron..

[14]  Peter J. Gawthrop,et al.  Optimal control of nonlinear systems: a predictive control approach , 2003, Autom..

[15]  Abdelaziz Hamzaoui,et al.  Adaptive discrete-time sliding-mode control of nonlinear systems described by Wiener models , 2016, Int. J. Control.

[16]  Nouri Ahmed Said,et al.  New discrete multivariable sliding mode control for multi-periodic disturbances rejection , 2011, Eighth International Multi-Conference on Systems, Signals & Devices.