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.
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.