Nash solution by extremum seeking control approach

Pan Y., ACARMAN T., Özgüner Ü.

41st IEEE Conference on Decision and Control, Las Vegas, NV, Amerika Birleşik Devletleri, 10 - 13 Aralık 2002, cilt.1, ss.329-334 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: Las Vegas, NV
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.329-334
  • Anahtar Kelimeler: Extremum seeking, Nash equilibrium solution, Noncooperative game, Sliding model
  • Galatasaray Üniversitesi Adresli: Evet

Özet

In this paper, we propose an algorithm to solve the Nash equilibrium solution for an n-person noncooperative dynamic game by the extremum seeking control approach with sliding mode. For each player, a switching function is defined as the difference between the player's cost function and a reference signal. The extremum seeking controller for each player is designed so that the system converges to a sliding boundary layer defined in the vicinity of a sliding mode corresponding to the switching function and inside the boundary layer, the cost function tracks the reference signal and converges to the Nash equilibrium solution.