An LMI approach to decentralized \(H_\infty\)-controller design of a class of uncertain large-scale interconnected time-delay systems (Q2783699)

The paper describes a computational technique to design a decentralized state-feedback \(H_\infty\) controller for a large-scale interconnected continuous-time system with constant delay and norm-bounded uncertainty. The proposed design method makes use of linear matrix inequalities (LMI), a modern convex optimization approach especially tailored to control problems with multiple specifications. NEWLINENEWLINENEWLINEBesides the fact that the problem under study is rather narrow in scope, the paper features tedious notations and consists just in a combination of already well-known results. Moreover, the small-scale numerical examples are hardly illustrative. Indeed, the limitations (namely on the number of decision variables) of the currently available LMI solvers would certainly make unrealistic practical large-scale control applications.