EXTREMUM SEEKING CONTROL OF UNCERTAIN SYSTEMS

Abstract

Extremum seeking is used in control problems where the reference trajectory or reference set point of the system is not known but it is searched in real time in order to maximize or minimize a performance function representing the optimal behaviour of the system. In this paper, extremum seeking algorithm is applied to the systems with parametric uncertainties.

Keywords

• extremum seeking,uncertain systems,sliding mode control,adaptive control.

References

1. Krstic,M. and Wang,H.H., (2000), Stability of extremum seeking feedback for general nonlinear dy- namic systems, Automatica, 36, pp. 595-601.
2. Ghaffari,A., Krstic,M. and Seshagiri,S., (2014), Power optimization and control in wind energy con- version systems using extremum seeking, IEEE Transactions on Control Systems Technology, 22(5), pp. 684-1695.
3. Bratcu,A.I., Munteanu,I., Bacha,S. and Raison,B., (2008), Maximum power point tracking of grid- connected photovoltaic arrays by using extremum seeking control, Journal of Control Engineering and Applied Informatics, 10(4), pp. 3-12.
4. Dincmen,E., Guvenc,B.A. and Acarman, T., (2014), Extremum seeking control of ABS braking in road vehicles with lateral force improvement, IEEE Transactions on Control Systems Technology, 22(1), pp. 230-237.
5. Dincmen,E. and Guvenc,B.A., (2012), A control strategy for parallel hybrid electric vehicles based on extremum seeking, Vehicle System Dynamics, 50(2), pp. 199-227.
6. Drakunov,S., Ozguner,U., Dix,P. and Ashrafi,B., (1995), ABS control using optimum search via sliding modes, IEEE Transactions on Control Systems Technology, 3(1), pp. 7985.
7. Fu,L. and Ozguner,U., (2011), Extremum seeking with sliding mode gradient estimation and asymp- totic regulation for a class of nonlinear systems, Automatica, 47, pp. 2595-2603.
8. Haskara,I., Ozguner,U. and Winkelman,J., (2000), Extremum control for optimal operating point de- termination and set point optimization via sliding modes, Journal of Dynamic Systems, Measurement, and Control, 122(4), pp. 719-724.

9. Vweza,A.O., Chong,K.T. and Lee, D.J., (2015). Gradient-free numerical optimization-based extremum seeking control for multiagent systems, International Journal of Control, Automation and Systems, 13(4), pp. 877-886.
10. Zhang,C. and Ordonez,R., (2007), Numerical optimization-based extremum seeking control with ap- plication to ABS design, IEEE Transactions on Automatic Control, 52(3), pp. 454-467.
11. Guay,M. and Dochain,D., (2015), A multi-objective extremum-seeking controller design technique, International Journal of Control, 88(1), pp. 38-53.
12. Guay,M., (2014), A time-varying extremum-seeking control approach for discrete-time systems, Jour- nal of Process Control, 24(3), pp. 98-112.