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Controllability versus wide-sense robustness in thrust-vectored flight dynamics and control: canonical Lyapunov’s second method approach

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Abstract

The objective of the paper is to investigate the controllability of longitudinal maneuvering of a thrust-vectored aircraft and its interaction with wide-sense robustness provided by the corresponding control laws. We deal with two types of controllability: exact and approximate. The set of attainability is constructed and analyzed. The used mathematical tool is the canonical form of Lyapunov’s second method. The detailed demonstration of the elaborated technique of designing wide-sense robust tracking control for the nonlinear five-dimensional mathematical model constitutes the ancillary quintessence of the paper. The framework of the two-stage cascade consisting of two controlling attractor-mediators and two controlling terminal attractors embedded in the extended phase space of the mathematical model of the thrust-vectored aircraft longitudinal motion is studied. The hierarchal master-minion structure of the first stage of the cascade has been found and examined. The two types of topological obstructions to controllability are identified in the mathematical model, namely dimensionality restriction and domain restrictions. We evaluate the gravity of their impact on controllability and the set of attainability. It is concluded that wide-sense robustness cooperates with tracking control laws in attaining the control aims under unfavorable factors acting on the thrust-vectored aircraft.

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Authors and Affiliations

  1. NYC Transit, NewYork, NY, USA

    Myroslav K. Sparavalo

  2. National Technical University of Ukraine, Kiev, Ukraine

    Myroslav K. Sparavalo

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Sparavalo, M.K. Controllability versus wide-sense robustness in thrust-vectored flight dynamics and control: canonical Lyapunov’s second method approach. CEAS Aeronaut J 12, 723–736 (2021). https://doi.org/10.1007/s13272-021-00526-6

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