Title :
On computing inner-outer factorizations of periodic systems
Author_Institution :
Inst. of Robot. & Mechatron., German Aerosp. Center, Wessling, Germany
Abstract :
A numerically reliable state space algorithm is proposed for computing inner-outer factorizations of causal periodic descriptor systems. The main computational ingredients are the computation of a special condensed Kronecker-like form of periodic pairs using orthogonal reduction algorithms and the solution of periodic Riccati equations. The proposed approach is completely general, being applicable to arbitrary causal periodic systems with time-varying state dimensions.
Keywords :
Riccati equations; matrix decomposition; periodic control; state-space methods; time-varying systems; Kronecker-like form; causal periodic descriptor systems; computational ingredients; inner-outer factorization computation; orthogonal reduction algorithms; periodic Riccati equations; periodic pairs; state space algorithm; time-varying state dimensions; Couplings; Periodic structures; Poles and zeros; Reliability; Riccati equations; Signal processing algorithms; Time-varying systems;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
