![]() ![]() For example, we cannot say that when we deflect the elevators, the lift force will increase by the same amount, differing only by a multiplication factor or that if we deflect the elevators in 5°, the increase in the lift force will correspond to the ones equivalent to 3° plus 2° deflections. In mathematics, we say that a system is nonlinear when the output is not necessarily proportional to the input. The identification of the inputs is not always straightforward such that we have to be careful in order to avoid ending up with an incorrectly determined system of equations. It is important to note that the input variables must be independent, otherwise it will be a state or output variable. Our model is the solution of the differential equations system shown in Figure 1. And a variable called control (U) which represents the inputs in our system, in this case, the deflection of the aerodynamic surfaces (elevator, rudder, aileron, flaps, etc), engine setting or any other control input. Differential equation for dynamic system model.īasically we have a variable called state (X), a vector with the variables which describe the dynamics of our system, in this case, for example, we would have angle-of-attack, airspeed, pitch angle, rolling angle, sideslip angle, etc. ![]()
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