Gain scheduled control: Switched polytopic system approach

A study was conducted to propose a gain-scheduled controller synthesis approach on the basis of stability theory for switched systems evolving on locally overlapped switching law. Switched systems consisted of a collection of subsystems, along with a switching law that specified the switchings between the subsystems. These systems had a wide range of applications in the aerospace field when the switching was with the 'locally overlapped' property. A switched polytopic system was established to describe the plant dynamics within the full flight envelope. Every polytopic subsystem represented the system dynamics in a part of flight envelope and its vertices were the subsystems of a locally overlapped switched system (LOSS) which described the dynamics on operating points within this part of flight envelope. It was proved that the switched polytopic system was input-to-state uniformly bounded on the condition that vertices of any polytopic subsystem shared a common Lyapunov function.