Title :
Optimal synthesis and explicit state-space solution for a decentralized two-player linear-quadratic regulator
Author :
Swigart, John ; Lall, Sanjay
Author_Institution :
Dept. of Aeronaut. & Astronaut., Stanford Univ., Stanford, CA, USA
Abstract :
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.
Keywords :
control system synthesis; decentralised control; interconnected systems; linear quadratic control; matrix decomposition; state-space methods; controller synthesis algorithms; decentralized control problems; decentralized two-player linear-quadratic regulator; explicit state-space solution; information structure; interconnected linear subsystems; optimal controllers; optimal synthesis; spectral factorization approach; state-space formulae; Eigenvalues and eigenfunctions; History; Optimization; Power system dynamics; Riccati equations; Transfer functions; USA Councils;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717538