Finite Horizon H∞ Control for a Class of Linear Quantum Sampled-Data Measurement Systems: A Dynamic Game Approach*

Abstract

AbstractIn this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of sampled-data measurements. The methodology adopted involves a certain equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem using some results from a corresponding deterministic problem following a dynamic game approach, the finite horizon H∞ control problem for the class of linear quantum systems under consideration is solved for the case of sampled-data measurements.