Abstract
This paper presents a uniform approach to the modelling and simulation of aircraft prescribed trajectory flight. The aircraft motion is specified by a trajectory in space, a condition on airframe attitude with respect to the trajectory, and a desired flight velocity variation. For an aircraft controlled by aileron, elevator and rudder deflections and thrust changes a tangent realization of trajectory constraints arises which yields two additional constraints on the airframe attitude with respect to the trajectory. Combining the program constraint conditions and aircraft dynamic equations the governing equations of programmed motion are developed in the form of differential-algebraic equations. A method for solving the equations is proposed. The solution consists of time variations of the aircraft state variables and the demanded control that ensures the programmed motion realization.
Highlights
Dynamic inversion is a systematic method of designing controllers for nonlinear control systems [1]
The problem involves first prescribing a desired motion and determining the control inputs to a dynamic system that force the system to complete the prescribed motion. This can be especially useful for running unpiloted simulations, studying the required control strategies, and evaluating feasibility of the modelled aircraft maneuvers.In this paper inverse methods are applied to an aircraft trajectory prescribed path control problem
The four control inputs - deflections of aileron, elevator and rudder, and thrust changes - act directly on the first derivatives of the four controlled variables and the control required to achieve these goals can readily be determined from an appropriate subset of the dynamic equations
Summary
Dynamic inversion (inverse simulation) is a systematic method of designing controllers for nonlinear control systems [1]. The problem involves first prescribing a desired motion and determining the control inputs to a dynamic system that force the system to complete the prescribed motion This can be especially useful for running unpiloted simulations, studying the required control strategies, and evaluating feasibility of the modelled aircraft maneuvers (or missions).In this paper inverse methods are applied to an aircraft trajectory prescribed path control problem. The four control inputs - deflections of aileron, elevator and rudder, and thrust changes - act directly on the first derivatives of the four controlled variables and the control required to achieve these goals can readily be determined from an appropriate subset of the dynamic equations In this way, the flight trajectory is neither directly specified nor controlled and the usual maneuver segmentation yields discontinuities in the motion specification at the transient points [4]. The aircraft motion described in this way is fully specified and a ,paradox" that an aircraft, a six-degree-of-freedom system, can explicitly be governed by four controls can be explained
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