Reference:
Zs. Lendek,
R. Babuska, and
B. De Schutter,
"Stability analysis and observer design for string-connected TS
systems," Proceedings of the 18th IFAC World Congress, Milan,
Italy, pp. 12795-12800, Aug.-Sept. 2011.
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 reduced
computational complexity. Applications include distributed process
control, traffic and communication networks, irrigation systems,
hydropower valleys, etc. A special case of distributed systems is when
the subsystems are connected in a string. 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 extended to observer design. Sufficient
LMI conditions, which are easy to solve are also provided. The
approach is illustrated on a simulation example.