Safe protecting switching control for aeroengines based on multiple Lyapunov functions method

Focusing on the safe boundaries existing during the working progressing of aeroengines, this paper studies the control problem. To guarantee the aeroengines´ performances under the safe boundaries constraints, strategy of switching between the protecting loop and the regulating loop according to the Min switching law is adopted. First, the problem of output switching tracking for a linear system with output constraints is established, and controllers are designed for the protecting loop and the regulating loop tomake the corresponding output asympotically tracking the safe boundary and the reference signal respectively. Then, multiple Lyapunov functions method is applied to analysis the switched system under the Min switching law, sufficient conditions leading to finite times switching which will make the asymptotically tracking problem of the switched system solvable are proposed. And finally, effectiveness of the result is illustrated through simulation, and the superiority of switching control in reducing overshooting is also revealed.