Reference:
Zs. Lendek,
R. Babuska, and
B. De Schutter,
"Sequential stability analysis and observer design for distributed TS
fuzzy systems," Fuzzy Sets and Systems, vol. 174, no. 1, pp.
1-30, July 2011.
Abstract:
Many complex physical systems are the interconnection of
lower-dimensional subsystems. For such systems, distributed stability
analysis and observer design presents several advantages with respect
to centralized approaches, such as modularity, easier analysis and
design, and reduced computational complexity. Applications include
distributed process control, traffic and communication networks, and
economic systems. In this paper, we propose sequential stability
analysis and observer design for distributed systems where the
subsystems are represented by Takagi-Sugeno (TS) fuzzy models. The
analysis and design are done sequentially for the subsystems, allowing
for the online addition of new subsystems. The conditions are
formulated as LMIs and are therefore easy to solve. The approach is
illustrated on simulation examples.