Influence of Adaptation Gain and Reference Model Parameters on System Performance for Model Reference Adaptive Control
This article presents a detailed analysis and comparative
performance evaluation of model reference adaptive control systems.
In contrast to classical control theory, adaptive control methods allow
to deal with time-variant processes. Inspired by the works [1] and
[2], two methods based on the MIT rule and Lyapunov rule are
applied to a linear first order system. The system is simulated and
it is investigated how changes to the adaptation gain affect the
system performance. Furthermore, variations in the reference model
parameters, that is changing the desired closed-loop behaviour are
examinded.
[1] P. Swarnkar, S. Jain, and R. Nema, "Effect of adaptation gain on system
performance for model reference adaptive control scheme using mit
rule," World Academy of Science, Engineering and Technology, vol. 70,
pp. 621-626, Oct. 2010.
[2] P. Swarnkar, S. K. Jain, and R. Nema, "Comparative analysis of mit rule
and lyapunov in model reference adaptive control scheme," Innovative
Systems Design and Engineering, vol. 2, pp. 154-162, Apr. 2011.
[3] K. Wise, E. Lavretsky, and N. Hovakimyan, "Adaptive control of
flight: theory, applications, and open problems," in American Control
Conference, 2006.
[4] M. S. Ehsani, "Adaptive control of servo motor by mrac method," in
IEEE Vehicle Power and Propulsion Conference, pp. 78 - 83, 2007.
[5] J.-J. E. Slotine, Applied nonlinear control. Prentice-Hall, Englewood
Cliffs, 1991.
[6] G. Dumont, "Eece 574 - adaptive control - lecture notes model-reference
adaptive control," Mar. 2011.
[7] Q. Sang and G. Tao, "Gain margins of adaptive control systems," IEEE
Transactions on Automatic Control, vol. 55, pp. 104 - 115, Jan. 2010.
[8] N. T. Nguyen and K. Krishnakumar, "An optimal control modification to
model-reference adaptive control for fast adaptation," in AIAA Guidance,
Navigation and Control Conference and Exhibit, (Honolulu, Hawaii),
2008.
[9] C. Cao and N. Hovakimyan, "Design and analysis of a novel l1
adaptive control architecture with guaranteed transient performance,"
IEEE Transactions on Automatic Control, vol. 53, no. 2, pp. 586-591,
2008.
[10] P. Swarnkar, S. Jain, and R. K. Nema, "Effect of adaptation gain in
model reference adaptive controlled second order system," ETASR -
Engineering, Technology & Applied Science Research, vol. 1, no. 3,
pp. 70-75, 2011.
[1] P. Swarnkar, S. Jain, and R. Nema, "Effect of adaptation gain on system
performance for model reference adaptive control scheme using mit
rule," World Academy of Science, Engineering and Technology, vol. 70,
pp. 621-626, Oct. 2010.
[2] P. Swarnkar, S. K. Jain, and R. Nema, "Comparative analysis of mit rule
and lyapunov in model reference adaptive control scheme," Innovative
Systems Design and Engineering, vol. 2, pp. 154-162, Apr. 2011.
[3] K. Wise, E. Lavretsky, and N. Hovakimyan, "Adaptive control of
flight: theory, applications, and open problems," in American Control
Conference, 2006.
[4] M. S. Ehsani, "Adaptive control of servo motor by mrac method," in
IEEE Vehicle Power and Propulsion Conference, pp. 78 - 83, 2007.
[5] J.-J. E. Slotine, Applied nonlinear control. Prentice-Hall, Englewood
Cliffs, 1991.
[6] G. Dumont, "Eece 574 - adaptive control - lecture notes model-reference
adaptive control," Mar. 2011.
[7] Q. Sang and G. Tao, "Gain margins of adaptive control systems," IEEE
Transactions on Automatic Control, vol. 55, pp. 104 - 115, Jan. 2010.
[8] N. T. Nguyen and K. Krishnakumar, "An optimal control modification to
model-reference adaptive control for fast adaptation," in AIAA Guidance,
Navigation and Control Conference and Exhibit, (Honolulu, Hawaii),
2008.
[9] C. Cao and N. Hovakimyan, "Design and analysis of a novel l1
adaptive control architecture with guaranteed transient performance,"
IEEE Transactions on Automatic Control, vol. 53, no. 2, pp. 586-591,
2008.
[10] P. Swarnkar, S. Jain, and R. K. Nema, "Effect of adaptation gain in
model reference adaptive controlled second order system," ETASR -
Engineering, Technology & Applied Science Research, vol. 1, no. 3,
pp. 70-75, 2011.
@article{"International Journal of Information, Control and Computer Sciences:50180", author = "Jan Erik Stellet", title = "Influence of Adaptation Gain and Reference Model Parameters on System Performance for Model Reference Adaptive Control", abstract = "This article presents a detailed analysis and comparative
performance evaluation of model reference adaptive control systems.
In contrast to classical control theory, adaptive control methods allow
to deal with time-variant processes. Inspired by the works [1] and
[2], two methods based on the MIT rule and Lyapunov rule are
applied to a linear first order system. The system is simulated and
it is investigated how changes to the adaptation gain affect the
system performance. Furthermore, variations in the reference model
parameters, that is changing the desired closed-loop behaviour are
examinded.", keywords = "Adaptive control systems, Adaptation gain, MIT rule,
Lyapunov rule, Model reference adaptive control.", volume = "5", number = "12", pages = "1504-6", }