Reference:
Zs. Lendek,
P. Raica,
B. De Schutter, and
R. Babuska,
"Analysis and design for continuous-time string-connected
Takagi-Sugeno systems," Journal of the Franklin Institute,
vol. 351, no. 7, pp. 3577-3592, July 2014.
Abstract:
Distributed systems consist of interconnected, lower-dimensional
subsystems. For such systems, distributed analysis and design present
several advantages, such as modularity, easier analysis and design,
and reduced computational complexity. A special case of distributed
systems is when the subsystems are connected in a string. Applications
include distributed process control, traffic and communication
networks, irrigation systems, hydropower valleys, etc. By exploiting
such a structure, in this paper, we propose conditions for the
distributed stability analysis of Takagi-Sugeno fuzzy systems
connected in a string. These conditions are also extended to observer
and controller design and illustrated on numerical examples.