Interconnected jumping time delay systems: robust and H∞ control schemes.

This paper deals with the problems of decentralized robust stabilization and robust H∞ performance for a class of continuous‐time, interconnected jumping time delay systems with norm‐bounded parametric uncertainties. The delays are unknown time varying in the state of each subsystem as well as in the interconnections between the subsystems. A class of decentralized observer‐based feedback controllers is developed to render the closed‐loop interconnected system asymptotically stable. All the design effort is undertaken at the subsystem level. It is shown that the robust control design problem can be essentially solved in term of a family of linear matrix inequalities. It has been established that the developed results encompass several existing results as special cases. The developed theory is illustrated by simulation of a multi‐reach pollution model of a representative segment of the River Nile. [ABSTRACT FROM PUBLISHER]