Nash solution by extremum seeking control approach
41st IEEE Conference on Decision and Control, Las Vegas, NV, Amerika Birleşik Devletleri, 10 - 13 Aralık 2002, cilt.1, ss.329-334, (Tam Metin Bildiri)
- 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.