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Nonlinear Aeroservoelastic Applications

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Part of the book series: Control Engineering ((CONTRENGIN))

Abstract

The final chapter of the book is a culmination of the discussion on aeroservoelasticity in nonlinear analysis and design. Both the describing functions approximation and Lyapunov stability theorems for nonlinear and adaptive control law design are presented, with applications to flapping-wing flight, transonic flutter and buffet, and an illustrative example of adaptive suppression of transonic limit-cycle oscillations.

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Notes

  1. 1.

    Here, the nonlinearity is assumed to be odd, i.e.,

    $$ 0=\int_{-\pi}^{\pi}{z(t)\mathrm{d}(\omega t)},$$

    which is a good assumption for most systems.

  2. 2.

    The state-feedback, linear regulator can be easily replaced by a linear observer-based compensator, if the states are not directly measurable (Chap. 5).

  3. 3.

    Due to the aerodynamic and inertial coupling, either of the two degrees of freedom can be considered to be the input for driving the other degree of freedom.

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Correspondence to Ashish Tewari .

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Tewari, A. (2015). Nonlinear Aeroservoelastic Applications. In: Aeroservoelasticity. Control Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2368-7_6

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