A Stackelberg Game Approach to Mixed H2/H∞ Robust Control for Singular Bilinear Systems
The H2/ H∞ robust control problem is formulated as a Stackelberg differential game where the leader minimizes an H2 criterion while the follower deals with the H∞ constraint. For a closed-loop information structure in the game, the necessary conditions for the existence of a solution are derived for the infinite horizon case. In the end, the simulation of a numerical example is presented.
Helen Zhang, Gang Shen and David Jin
H. N. Zhu et al., "A Stackelberg Game Approach to Mixed H2/H∞ Robust Control for Singular Bilinear Systems", Advanced Materials Research, Vols. 204-210, pp. 1839-1847, 2011