Optimal Synthesis and Explicit State-Space Solution for a Decentralized Two-Player Linear-Quadratic Regulator
- J. Swigart and S. Lall.
- Proceedings of the IEEE Conference on Decision Control, p. 132--137, 2010.
In this paper, we develop controller synthesis algorithms for decentralized control problems. The system considered here is an information structure, consisting of two interconnected linear subsystems. We construct the optimal controllers via a spectral factorization approach. Explicit state-space formulae are provided, and the order of the optimal controllers are established.