Abstract
Bifurcation control is discussed in the context of the stabilization of high angle-of-attack flight dynamics. Two classes of stabilization problems for which bifurcation control is useful are discussed. In the first class, which is emphasized in this presentation, a nonlinear control system operates at an equilibrium point which persists only under very small perturbations of a parameter. Such a system will tend to exhibit a jump, or divergence, instability in the absence of appropriate control action. In the second class of systems, an instance of which arises in a tethered satellite system model [14], eigenvalues of the system linearization appear on (or near) the imaginary axis in the complex plane, regardless of the values of system parameters or admissible linear feedback gains.
This work was supported in part by the US National Science Foundation under Grant ECS-86-57561 and through its Engineering Research Centers Program under Grant NSFD CDR-88-03012, by the AFOSR University Research Initiative Program under Grant AFOSR-90-0015, by the General Electric Company, and by the TRW Foundation.
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© 1991 Springer Science+Business Media New York
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Abed, E.H., Fu, JH., Lee, HC., Liaw, DC. (1991). Bifurcation Control of Nonlinear Systems. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_3
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_3
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