**Implementation of a New Super Twisting**

Mode Algorithm Controlled by *Dspace*:

Application to Series Multicell Converter

Mode Algorithm Controlled by

*Dspace*:

Application to Series Multicell Converter

**Mohamed Redha SKENDER, Abdelhalim TLEMCANI **

Research Laboratory in Electrical Engineering and Automatic (LREA),

University of Medea, Ain D’ heb, Medea, 26000, Algeria

skender_mohamed@yahoo.fr; h_tlemcani@yahoo.fr

**Abstract: **In this paper, a control algorithm of higher order sliding mode was developed for a series multi cells converter to force floating voltages across capacitors to stay in their reference. The results of simulations were validated experimentally by a converter that has been realized for this task.

**Keywords:** nonlinear control, converter, sliding mode control, algorithm, chopper.

**>>Full text<<**

**CITE THIS PAPER AS**:

Mohamed Redha SKENDER, Abdelhalim TLEMCANI, **Implementation of a New Super Twisting Mode Algorithm Controlled by Dspace: Application to Series Multicell Converter**,

*Studies in Informatics and Control*, ISSN 1220-1766, vol. 25(2), pp. 255-264, 2016.

**Introduction**

The performances of electronic power converters have been evolving through the last decades, in an attempt to be more reliable and efficient. This has been carried out thanks to the developments of the semiconductor of power components and the new system of energy conversion. These high performances are directly linked to the converter’s topology and its power electronic components.

Multicell converters are currently embedded in many electric devices. Their aim is to convert an electrical energy shape (voltage /current / frequency) to another one.

This new topology presents two additional advantages: the possibility of a modular construction and the possibility of using components having large diffusion.

On the other hand, the following model must be simple to allow real time control and precise enough to achieve the desired behaviour. Because it’s based on continuous variables and discrete variables, multicell converter modelling is claimed to be difficult [19], [20]. According to previous studies, three types of models could be found.

The average model consists in calculating average value of all variables during one sampling period. Nevertheless, this model cannot represent the capacitors terminal voltage natural balancing; the harmonic model based on the decomposition in Fourier series of control signals, which determine the harmonics phase and amplitude across the switches, also determining the harmonic current of the load to determine the evolution of capacitor voltages; The instantaneous model considers all the switching over a period (discrete location). This model contains all information; it is generally used to validate controls or to use as observers [16], [19].

Various control methods have been proposed for the multicell converters, cite as nonlinear control based on input-output linearization [10], Robust Switching Control Systems with Input Delay [8], predictive control [5], [15], hybrid control [4], sliding mode control [1], [6], [17], Exponential Mapping Function [12].

In this work, we will apply and implement a new sliding mode controller to the load R-L connected to a multicell converter called super twisting mode. This control is very well adapted for this kind of converter, as we shall demonstrate in the subsequent sections.

Sliding mode control (SMC) [22] is a nonlinear control technique featuring remarkable properties of accuracy, robustness, and easy tuning and implementation.SMC systems are designed to lead the system states onto a particular surface in the state space, named sliding surface. Once the sliding surface has been reached, the sliding mode control keeps the states on the close neighborhood of the sliding surface. Hence The advantages of SMC are the dynamic behavior of the system can be adapted by the particular choice of the sliding function, and also the closed loop response becomes completely insensitive to uncertainties, disturbance and nonlinearity [23] [24]. Sliding modes based controllers have witnessed major development these last years. Such an interest in sliding modes controllers can be explained by their intrinsic robustness property and the relative ease of application (see for example [2] [3] [7] [9] [11] [13] [18]).

In order to evaluate the feasibility and constraints of the sliding modes algorithm, the realization of an experimental model was proposed to validate the actual performance of the algorithm. The realized maquette is sized for educational or research applications. The bench includes a ** Dspace**1103 card, a multicellular converter of three cells, a DC motor or a RL load. This bench allows:

- Define and associate the different hardware and software
- Develop control programs
- Applied sliding mode control techniques.

The main objective of this paper is to show that the multicellular converter is very well suited for a control set-up using sliding modes and which will be demonstrated by experiment.

**REFERENCES**

- AMET, L., M. GHANES, J.P . BARBOT,
**Direct Control Based on Sliding Mode Techniques for Multicell Serial Chopper**, in American Control Conference (ACC), vol. 29 (1), 2011, pp. 751-756. - BENMANSOUR, K., A. BENALIA, M. DJEMAI, J. DELEON,
**Hybrid Control of Multicellular Converter**, Nonlinear Analysis: Hybrid Systems, vol. 1 (1), 2007, pp. 16-29. - BENSAID, R., M. FADEL, T. MEYNARD,
**Observer Design for A Three Cells Chopper Using Discrete-Time Model**, Electromotion, vol. 2 (0), 1999, pp. 689-694. - BIAJA, M., D. PATINO, H. CORMERAIS, P. RIEDINGER, J. BUISSON,
**Hybrid Control of a Three-Level Three-Cell DC-DC Converter**, in American Control Conference (ACC), 2007, pp. 5458-5463. - DEFAY, F., A. LIOR, M. FADEL,
**A Predictive Control with Flying Capacitor Balancing of a Multicell Active Power Filter**, IEEE Trans. on Ind. Electronics, vol. 55 (9), 2008, pp. 3212-3220. - DJEMAI, M., K. BUSAWON, K. BENMANSOUR, A. MAROUF,
**High-Order Sliding Mode Control of a DC Motor Drive Via a Switched Controlled Multi-Cellular Converter**, International Journal of Systems Science, vol. 42 (11), pp. 1869-1882, 2011. - EMELYANOV, S. V., S. K. KOROVIN, L. V. LEVANTOVSKII,
**Higher Order Sliding Mode in the Binary Control System**, Soviet Physics vol. 31 (4), 1986, pp. 291-293. - FILIPOVIC, V.,
**Robust Switching Control Systems with Input Delay**, Studies in Informatics and Control, ISSN 1220-1766, vol. 20 (4), 2011, pp. 411-420. - FLOQUET, T., J. P. BARBOT, W. PERRUQUETTI,
**Second Order Sliding Mode Control of Induction Motor**, IEEE Conf. on Decision and Cont., Australia, vol. 2 (0), 2000, pp. 1691-1696. - GATEAU, G., M. FADEL, P. MAUSSION, R. BENSAID, T. MEYNARD,
**Multicell Converters: Active Control and Observation of Flying-Capacitor Voltages**, IEEE Trans. on Industrial Electronics, vol. 49(5), 2002, pp. 998-1008. - GULDNER, J., V. I. UTKIN, J. SHI,
**Sliding Mode Control in Electromechanical Systems**, Taylor & Francis, 1999. - HILDEBRANDO, C., P. PAGLIONE, C. RIBEIRO,
**Exponential Mapping Function for Nonlinear Control**, Studies in Informatics and Control, ISSN 1220-1766, vol. 24 (4), 2015, pp. 449-460. - LEVANT, A.,
**Robust Exact Differentiation Via Sliding Mode Technique**, Automatica, vol. 34 (3), 1998, pp. 379-384. - LEVANT, A.,
**Universal SISO Sliding-Mode Controllers with Finite-time Convergence**, IEEE Trans. on Automatic Control, vol. 46 (9), 2001, pp. 1447-1451. - LEZANA, P., R. AGUILERA, D. QUEVEDO,
**Model Predictive Control of an Asymmetric Flying Capacitor Converter**, IEEE Trans. on Ind. El., vol. 56(6), 2009, pp. 1839-1846. - LIENHARDT, A. M., G. GATEAU, T. MEYNARD,
**Digital Sliding-Mode Observer Implementation Using FPGA**, IEEE Trans. Industrial Electronics, vol. 54 (4), 2007, pp. 1865-1875. - MERADI, S., K. BENMANSOUR, K. HERIZI, M. TADJINE, M. BOUCHERIT,
**Sliding Mode and Fault Tolerant Control for Multicell Converter Four Quadrants**, Electric Power Systems Research, vol. 95(0), 2013, pp. 128-139. - MEYNARD, T., H. FOCH,
**French Patent**91,09582 du 25 juillet 1991, depot international PCT (Europe, Japan, USA, Canada), No. 92,00652 du 8 juillet 1992. - MEYNARD, T., H. FOCH, P. THOMAS, J. COURAULT, R. JAKOB, M. NAHRSTAEDT,
**Multicell Converters: Basic Concepts and Industry Applications**, IEEE Trans. Industrial Electronics, vol. 49 (5), 2002, pp. 955-964. - PATINO, D., P. RIEDINGER, C. LUNG, Predictive
**Control Approach for Multicellular Converters**, in Procs. 2008 IEEE IECON, Nov. 2008, pp. 3309-3314. - SLOTINE, J.-J. E., W. LI,
**Applied Nonlinear Control**, London: Prentice-Hall, Inc. 1991. - STANISA, L. P., S. A. DRAGAN, D. N. VLASTIMIR, B. M. DARKO, T. M. MARKO, S. N. SASA,
**A****New Approach to The Sliding Mode Control Design: Anti–Lock Braking System as A Case Study**, Journal of Electrical Engineering, vol. 65 (1), 2014, pp. 37-43. - WANG, H. P, C. VASSEUR, V. CONCAR, A. CHAMROO, N. CHRISTOV,
**Design and****Implementation of Robust Hybrid Control of Vision Based Under Actuated Mechanical Non-Minimum Phase Systems**, Studies in Informatics and Control, vol. 19 (1), 2010, pp. 35-44. - WANG, H., V. KONCAR, N. CHISTOV, C., VASSEUR, O. CHAMRO,
**Sampled Tracking for Delayed Systems Using Two-Time-Scale Sampled-data Controllers**, Studies in Informatics and Control, vol. 19 (4), 2010, pp. 339-346.