Deadbeat Control of Linear and Non Linear System using Signal Correction Technique

Soumen Paul, Asim Halder, Asoke Kumar Nath


This work presents the deadbeat control technique to mitigate transient oscillations of both linear time invariant (LTI) and nonlinear continuous system based on Signal Correction Technique (SCT). In SCT a suitable corrected signal is generated and incorporated along with a reference input to the system through the feedback loop. It is pointed out that in some applications, such as biological control systems, it may not always be possible to incorporate a controller inside the system. This technique may be very much useful in realizing the transient performance of a system with SCT based deadbeat control where either incorporation of any controller within the system or processing of the input command is not permitted. The deadbeat representation with state space equations is demonstrated with some examples of higher order systems with the reference input as step, ramp and any linear type input. The SCT technique, which is considered in this work, can be applied to any higher order linear, nonlinear system for deadbeat realization without restriction of system parameters and experimental data as long as system is stable. In case of nonlinear system, the model of Inverted Pendulum is selected in the aspect of nonlinear control theory, with an emphasis on feedback linearization.  

Full Text:



Mandal A. K.(2012) “Introduction to Control Engineering- Modeling, Analysis and Design” New age International, New Delhi, Second Edition.

Brian D.O.Anderson, John B Moore (2007) “Optimal Control: Linear Quadratic Methods”, Prentice HallInc, Englewood Cliffs, New Jersey.

Thomas Kailath,Ali, H. Sayed, BabakHassibi,(2000) “Linear Estimation”, Prentice Hall.

R. Bergen and J. R. Ragazzini,(1954) “Sampled data processing techniques for feedback control systems”, Trans. AIEE, vol.73, pp. 236-247.

Acintya Das, Rajib Bag, And N. G. Nath, (2006 )“A Modification To Realize Dead-Beat Performance Of Control Systems—Signal Correction Technique”, IEEE Transactions On Instrumentation And Measurement, vol. 55, no. 5, pp: 1546–1550.

K. Ogata,(2002) “Modern Control Engineering”, 4th edition, Prentice-Hall, Upper Saddle River, New Jersey, 07458.

S. Urikura and A. Nagata, (1987) “Ripple-free deadbeat control for sampled-data systems”, IEEE Trans. Automat. Control, vol. 32,no 6, pp:474-482.

E. Zafiriou and M. Morari,( 1985) “Digital controllers for SISO systems: a review and a new algorithm”, Int. J. Control, vol. 42, no 4, pp. 855-876.

S.H. Zak and E. E. Blouin, (1987) “Ripple-Free Deadbeat Control for Sampled-Data Systems”, IEEE Transactions On Automatic Control, vol.32, no. 6, pp. 474-482.

A. Barbargires,( 1994.) “Study of Discrete-Time Control Systems with Dead-Beat to Polynomial Inputs”, Ph.D. Dissertation, Aristotle University of Thessaloniki,

A. Barbargires and C. A. Karybakas,( 1994) “Ripplefree dead-beat control of DC servo motors”, Proc. 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation, Chania, Crete, pp. 469-476.

Chris Fielding,( 2000) “The Design of Fly-By-Wire Flight Control Systems”, Flight Control Systems Technologis BAE Systems, Aerodynamics (W427D), Warton Aerodrome, Preston PR4 1AX.

D.Nesic and I.M.Y. Mareels,(1998) “Dead-Beat Control of Simple Harmonic Models”, IEEE Transaction On Automatic Control, vol 43, no 8, pp 1184-1188,

Masahmi Iwashiro, Masahide Yatsu and Hiroshi Suzuki,(1999) “Time Optimal Track-to Track Seek Control by Model Following Deadbeat Control”, IEEE Transactions On Magnetics, vol. 35, no. 7. pp. 904-909.

L. Jetto, S. Longhi,( 1997) “Parameterization of Periodic Dead-beat Controlers”, Proceedings of the European Control Conference (ECC97), pp 3806-3811.

Abbas Emami-Naeini,( 1992) “Deadbeat Control of Linear Multivariable Generalized State-Space Systems”, IEEE Transactions on Automatic Control, vol. 31, no. 5, pp 648-652.

Krzysztof B. Janiszowski,( 2009) “Control Error Dynamic Modification as an Efficient Tool for Reduction of Effects Introduced by Actuator Constraints”, Int. J. Appl. Math. Comput.Sci, vol. 19, no. 2, pp: 271–279.

Vladimir Kucera, (1999 )“Deadbeat Control, Pole Placement and LQ Regulation”, Kybernetika, vol35, no 6, pp: 681-692.

Nesic and I. M. Y. Mareels,( 1998) “Dead-Beat Control of Simple Hammerstein Models”, IEEE Transactions on Automatic Control, vol. 43,no. 8, pp 1184-1188.

Narayanasamy Selvaganesan, Subramanian Renganathan,( 2006) “Identification and Dahlin’sControl for Nonlinear Discrete Time Output Feedback Systems”, Journal of Electrical Engineering, vol. 57, no. 6, pp 329–337.

M.R.Marrari, A. Emami-Naeini, G.F.Franklin,( 1989) “Output Deadbeat Control of Discrete-Time Multivariable Systems”, IEEE Transactions on Automatic Control, vol. 34, Issue no. 6, pp 644-648.

Rajib Bag, Achintya Das, D. N. Tibarewala,( 2011)” Signal Correction Technique (SCT) to Realize Dead Beat Performance of Control System”, International Journal of Advanced Engineering & Application, vol.1, no 1, pp 47-50.

C.A. Karybakas, C.A.Barbargires,( 1996) “Explicit conditions for Ripple-Free Dead Beat Control”, Kybernetika- Volume 32, no 6, pp 601–614.

Robert Paz And HatemElaydi (1998 ) “Optimal Ripple-Free Deadbeat Controllers”, Int. J.Control, vol. 71, no 6, pp 1087-1104.

S. H. Zak and E. E. Blouin,( 1993) “Ripple-free deadbeat control”, IEEE Control System Magazine, vol.13, no 4.pp 51-56.

L. Jetto,( 1990) “Deadbeat controllers with ripple-free requirement for SISO discrete systems”, IEEE Proceedings, vol. 137, no. 5, pp 323-328.

J. K. Hedrick and A. Girar,( 2005) ”Feedback Linearization”, Control of Nonlinear Dynamic Systems: Theory and Applications, pp: 133-160.

Eduard Petlenkov, Juri Belikov, S Nõmm, M Wyrwas ,(2008) “Dynamic Output Feedback Linearization Based Adaptive Control of Nonlinear MIMO Systems”, American Control Conference Westin Seattle Hotel, Seattle, Washington, USA pp. 3446-3451.

Kenneth G Libbrecht, Virginio de Oliveira Sannibale, (2010),”The Inverted Pendulum, Freshman Physics Laboratory”, pp. 27-44.

Hunt, E.R., and Johnson, G. (1993)”Keeping chaos at bay”, IEEE Spectrum, 30(11), pp. 32-36.


  • There are currently no refbacks.

MAYFEB Journal of Electrical and Computer Engineering
Toronto, Ontario, Canada