ABSTRACT
Stabilization of the unstable dynamic linear system with control constraints is considered in terms of maximizing the size of the closed-loop system stability region. A controllability region for the open-loop system is a natural limit for the stability region of the closed-loop system with any designed controller. A relation between the controllability and stability regions is considered as a performance metric for controller assessment. The linear control laws maximizing the stability region for the constrained linear system are derived for two aircraft stabilization problems.
