Nash Solution by Extremum Seeking Control Approach

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2002
Accession Number
ADA409514

Entities

People

  • Tankut Acarman
  • Umit Ozguner
  • Yaodong Pan

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Air Force Research Laboratories
  • Aircrafts
  • Algorithms
  • Boundaries
  • Boundary Layer
  • Closed Loop Systems
  • Control Systems
  • Electrical Engineering
  • Electronic Mail
  • Equations Of State
  • Layers
  • Linear Systems
  • Military Research
  • Nonlinear Systems
  • Switching

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Game Theory.