Disturbance attenuation control of multi-equilibrium switched systems and its application to aero-engines

This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria. By introducing a Lyapunov function that measures the proximity to the stability region, numerically testable stability and stabilization criteria of the systems are obtained. For multi-equilibrium switched systems with energy-bounded disturbances, the L₂-gain is analyzed and the multi-equilibrium bound real lemma (ME-BRL) is derived. Further, an H_∞ multi-equilibrium switched (H_∞-MES) controller is designed, which ensures not only the nominal stability but also the H_∞ performance index of the closed-loop systems. Finally, the control method is applied to aero-engine control systems. The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.