This paper describes the synthesis of non-fragile or resilient regulators for linear systems. The general framework for fragility is described using state-space methodologies, and the LQ/H2 static state-feedback case is examined in detail. We discuss the multiplicative structured uncertainties case, and propose remedies of the fragility problem using a convex programming framework as a possible solution scheme. The benchmark problem is taken as an example to show how controller gain variations can affect the performance of the closed-loop system.
Proceedings of the 1998 American Control Conference
Fragility, Linear quadratic regulator, Multiplicative structured uncertainties, Linear Matrix Inequalities
Abdallah, Chaouki T.; Domenico Famularo; Ali Jadbabaie; and Peter Dorato. "Robust non-fragile LQ controllers: the static state feedback case." Proceedings of the 1998 American Control Conference (1998): 1109-1113. doi:10.1109/ACC.1998.703583.