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IFAC Proceedings Volumes

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

Aline I. Maalouf, Ian R. Petersen

Published Jan 1, 2011• 0 citations
Publisher
DOI
10.3182/20110828-6-it-1002.00186

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Finite Horizon H∞H^\inftyH∞ Control for a Class of Linear Quantum Measurement Delayed Systems: A Dynamic Game Approach
In this paper, a finite horizon H∞H^\inftyH∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, the finite horizon H∞H^\inftyH∞ control problem for the class of linear quantum systems under consideration is solved for the case of delayed measurements by solving the finite horizon H∞H^\inftyH∞ control problem for an equivalent stochastic H∞H^\inftyH∞ control problem following a dynamic game approach.
In this paper, a finite horizon H∞control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, the finite horizon H∞control problem for the class of linear quantum systems under consideration is solved for the case of delayed measurements by solving the finite horizon H∞control problem for an equivalent stochastic H∞control problem using some results from a corresponding deterministic problem following a dynamic game approach.