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System Dynamics and Constraints
System Dynamics and Constraints
We consider the aircraft model representing a Boeing 747-100 aircraft in steady level flight corresponding to Mach 0.5 cruise at 20,000 feet. The linearized longitudinal flight dynamics under the normal operating conditions with the classical phugoid approximation are modeled by
with the output
and constraints
Simulations and Results
Simulations and Results
The figure shows the state trajectories and time-based trajectories of the major signals of a simulation with mode switching from 0 to 2 to 3 at times 0 and 225. In order to demonstrate the reconfiguration process, an initial condition is picked such that the reconfiguration is triggered, and the simulation starts at the transition from Mode 0 to Mode 2.
The system runs from 0 to 25 seconds with the modified reference sequence generated by the recovery sequence generator. The thrust is stuck while the elevator is working normally.
At 25 seconds, the state is steered inside the constraint admissible set of mode 2, so after that, the reference governor updates the reference at every time step, until 225 seconds when the mode switches from 2 to 3, in which both actuators fail. Since the state is already inside the constraint admissible set of mode 3 prior to the transition, the system continues to operate without constraint violation after it switches to mode 3.
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