This model compiles the linearized state space representation of the lateral motion (in body frame) of an aircraft. The linearization is done over the reference flight conditions that are inputs from the subRefFlightSignalBus connector, and the states, inputs and outputs are perturbations from the reference flight conditions.

Other inputs to this model are the perturbations to the controls: DeltaaIn (Δδ_a) for ailerons deflection perturbation and DdeltarIn (Δδ_r) for rudder deflection perturbation. Additionally, the longitudinal stability and control derivatives are inputs through the lateraldervsIn connector. The output from this model is the output vector yvec through the subLateralMotSignalBus connector.

The state space representation of the longitudinal motion is in the following form

where x is the state vector and η is the control vector consisting of different perturbation components that are described in Table 1. The matrices A and B contain the stability and control derivatives, respectively. The output vector y consists of the three first components of x in Table 1. [1]

Table 1: Perturbation components of state and control vectors in state space representation of lateral motion.

References

[1]  Nelson, R. C. (1998) Flight Stability and Automatic Control. 2nd ed. McGraw-Hill.
      Available at: http://home.eng.iastate.edu/~shermanp/AERE355/lectures/Flight_Stability_and_Automatic_Control_N.pdf.