Cf. Cheng et al., DECENTRALIZED ROBUST-CONTROL OF DECOMPOSED UNCERTAIN INTERCONNECTED SYSTEMS, Journal of dynamic systems, measurement, and control, 115(4), 1993, pp. 592-599
In this paper, a new design technique of decentralized robust controll
ers for a class of uncertain interconnected system is provided. The in
terconnection matrices and the uncertainties of the system are decompo
sed into a matched and a mismatched portions. Since the matched portio
n can always be compensated by feedback controls, this new technique c
an provide local controllers to withstand strong interconnections and
large uncertainties. The relations among local feedback gains, uncerta
inty bounds, and interconnection strength are established to aid the r
obust controller design. A practical system with simulation results is
given to exemplify the implementation of the controller design techni
que.