caa a22 4500 606199500 CHVBK 20210128100938.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s11045-015-0335-6 doi (NATIONALLICENCE)springer-10.1007/s11045-015-0335-6 Decentralized string-stability analysis for heterogeneous cascades subject to load-matching requirements [Elektronische Daten] [Laven Soltanian, Michael Cantoni] A heterogeneous cascade of stable linear time-invariant subsystems is studied in terms of the spatial and temporal propagation of boundary conditions. The particular context requires constant spatial boundary conditions to be asymptotically matched by the interconnection signals along the string (e.g., to match supply to demand in steady state). Furthermore, the transient response associated with a step change in the spatial boundary condition must remain bounded across space in a string-length independent fashion. With this in mind, an infinite cascade abstraction is considered. A corresponding decentralized string-stability certificate for the desired behaviour is established in terms of the subsystem $$H_\infty $$ H ∞ norms, via Lyapunov-type analysis of a two-dimensional model in Roesser form. Verification of the certificate implies uniformly bounded interconnection signals in response to the following system inputs: (i) a square-summable (across space) sequence of initial conditions; and (ii) a uniformly-bounded (across time) finite-energy input applied as the spatial boundary condition (e.g., finite duration on-off pulse). The decentralized nature of the certificate facilitates subsystem-by-subsystem design of local controllers that achieve string-stable behaviour overall. This application of the analysis is explored within the context of a scalable approach to the design of distributed distant-downstream controllers for the sections of an automated irrigation channel. Springer Science+Business Media New York, 2015 Distributed control nationallicence 2-D Roesser models nationallicence Scalable analysis nationallicence String stability nationallicence Irrigation channel automation nationallicence Soltanian Laven Department of Electrical and Electronic Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut Cantoni Michael Department of Electrical and Electronic Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/4(2015-10-01), 985-999 0923-6082 26:4<985 2015 26 11045 https://doi.org/10.1007/s11045-015-0335-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-015-0335-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Soltanian Laven Department of Electrical and Electronic Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut NATIONALLICENCE 700 1- Cantoni Michael Department of Electrical and Electronic Engineering, University of Melbourne, 3010, Parkville, VIC, Australia aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/4(2015-10-01), 985-999 0923-6082 26:4<985 2015 26 11045