Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (4): 792-798.doi: 10.21629/JSEE.2019.04.16

• Control Theory and Application • Previous Articles     Next Articles

Stabilization of switched systems with all unstable modes: application to the aircraft team problem

Dariush TAVAKOLIFAR1(), Hamid KHALOOZADEH2,*(), Roya AMJADIFARD3()   

  1. 1 Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
    2 Department of Systems and Control, K. N. Toosi University of Technology, Tehran 1969764499, Iran
    3 Department of Electrical & Computer Engineering, Kharazmi University, Tehran 1571914911, Iran
  • Received:2018-05-21 Online:2019-08-01 Published:2019-09-01
  • Contact: Hamid KHALOOZADEH E-mail:dtavakolifar@gmail.com;h_khaloozadeh@kntu.ac.ir;amjadifard@khu.ac.ir
  • About author:TAVAKOLIFAR Dariush was born in 1975. He received his B.S. degree in electronics engineering from Razi University, Kermanshah, Iran, in 2000 and M.S. degree in control engineering from South Tehran Branch, Islamic Azad University (IAU), Tehran, in 2004. He is currently a Ph.D. candidate in control engineering in the Department of Electrical and Computer Engineering, Tehran Science and Research Branch, IAU, Tehran, Iran. Currently, he is an instructor in the Department of Engineering, Islamic Azad University. His current research interests include switched systems, multi-agent systems, large scale systems, and model reduction. E-mail:dtavakolifar@gmail.com|KHALOOZADEH Hamid was born in 1965. He received his B.S. degree in control engineering from Sharif University of Technology, Tehran, Iran, in 1990, M.S. degree in control engineering from K. N. Toosi University of Technology, Tehran, in 1993, and Ph.D. degree in control engineering from Tarbiat Modarres University, Tehran, in 1998. Currently, he is a professor in the Department of Systems and Control, Faculty of Electrical Engineering, K. N. Toosi University of Technology. He is the director of the Industrial Control Center of Excellence, K. N. Toosi University of Technology. His research interests include stochastic estimation and control, system identification, optimal control, and time series analysis. E-mail:h_khaloozadeh@kntu.ac.ir|AMJADIFARD Roya was born in 1968. She received her B.S. degree in electrical engineering from the Ferdowsi University of Mashhad, Mashhad, Iran, in 1990, M.S. degree in control engineering, K. N. Toosi University of Technology, Tehran, Iran, in 1995, and Ph.D. degree in control engineering from Tarbiat Modares University, Tehran, in 2004. Her current research interests include singularly perturbed systems control, robust control, fuzzy control, and neural networks. E-mail:amjadifard@khu.ac.ir

Abstract:

The method of stabilizing switched systems based on the optimal control is applied, with all modes unstable, for a typical example of the multi-agent system. First, the optimal control method for stabilizing switched systems is introduced. For this purpose, a switching table rule procedure is constructed. This procedure is inspired by the optimal control that identifies the optimal trajectory for the switched systems. In the next step, the stability of a multi-agent system is studied, considering different unstable connection topologies. Finally, the optimal control method is successfully applied to an aircraft team, as an example of the multi-agent systems. Simulation results evaluate and confirm the successful application of this method in the aircraft team example.

Key words: switched system, multi-agent system, stabilization, optimal control, unstable modes, aircraft team