an:07123638
Zbl 1425.93062
Jaoude, Dany Abou; Farhood, Mazen
Coprime factors reduction of distributed nonstationary LPV systems
EN
Int. J. Control 92, No. 11, 2571-2583 (2019).
0020-7179 1366-5820
2019
j
93B11 93D09 93B28
structure-preserving model reduction; balanced truncation; coprime factors reduction; interconnected linear parameter-varying systems; contractive coprime factorisations; robust stability analysis
Summary: This paper is on the coprime factors reduction of distributed systems formed by discrete-time, heterogeneous, nonstationary linear parameter-varying subsystems. The subsystems are represented in a linear fractional transformation framework and interconnected over arbitrary directed graphs, and the communication between the subsystems is subjected to a delay of one time-step. Two methods for constructing a contractive coprime factorisation for the full-order system are proposed. This factorisation forms an augmented system which is reducible by the structure-preserving balanced truncation method. A reduced-order contractive coprime factorisation is obtained from which the reduced-order system can be formed. A robustness theorem is also provided to interpret the error bound from coprime factors reduction in terms of robust stability of the closed-loop system. A numerical example is considered at the end of the paper.