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Geometric control formulation and nonlinear controllability of airplane flight dynamics
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Geometric control formulation and nonlinear controllability of airplane flight dynamics
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Journal Article
Geometric control formulation and nonlinear controllability of airplane flight dynamics
2017
Overview
Linear controllability conditions for linearized systems are not necessary. That is, there exists a class of nonlinear systems that are linearly uncontrollable but nonlinearly controllable. Geometric control theory provides useful tools for analyzing nonlinear controllability of dynamical systems. In particular, it allows for identification of the ability to generate motions along unactuated (non-intuitive) directions through specific interactions between the system dynamics and control inputs. In this work, the six-degrees-of-freedom, rigid-airplane flight dynamics is considered and formulated in a geometric control framework. Then, nonlinear controllability analysis is performed. The analytical tools of geometric control theory allowed scrutiny of the system dynamics to assess the relation between airplane configuration and controllability. Moreover, new rolling and pitching mechanisms that can be exploited at high angles of attack (e.g., stall recovery) are identified. Finally, a thrust-only flight control system is analyzed in this framework.
