Output feedback dissipative control for a class of uncertain systems with delay

Quadratic dissipative control for linear systems with delay is considered. For the system without uncertainties, the objective is to design dynamic output feedback controllers such that the closed-loop system achieves asymptotic stability and strict quadratic dissipativeness. First, the strict quadratic dissipativeness can be reduced to solvability of LMIs and conditions are characterized for the systems to be asymptotic stable and strict quadratic dissipative. Then the output feedback dissipative control problem is addressed., Conditions in a form of LMIs are obtained for the existence of,the output feedback controllers and methods for designing those controllers are derived. As for uncertain systems, it considers structured uncertainty characterized by a dissipative system. For the uncertain, system, robust quadratic dissipative analysis is addressed and dynamic output feedback controllers are developed so that the closed-loop system achieves robust stability and strict quadratic dissipativeness. It shows that the robust dissipative analysis and synthesis can be reduced to the dissipative analysis and synthesis problems without uncertainties. Results of the out-put feedback dissipative control can provide a more flexible and less conservative design for linear systems with delay.