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Título del libro: Aiaa Guidance, Navigation, And Control Conference 2012
Título del capítulo: Phase and gain margins with third order sliding mode control: An integrated guidance application

Autores UNAM:
JOSE ANTONIO ROSALES MARTINEZ; LEONID FRIDMAN;
Autores externos:

Idioma:
Inglés
Año de publicación:
2012
Palabras clave:

Attitude measurement; Current definition; Department of Defense; Higher order sliding modes; Integrated guidance; Proportional integral; Singularity point; Third order sliding modes; Aircraft accidents; Aircraft control; Design; Robust control; Robustness (control systems); Time domain analysis; Sliding mode control


Resumen:

Department of Defense Regulation requires designers to evaluate the robustness of their designs using phase and gain margin criteria. Given that such criteria are applicable to linear designs, their inapplicability in their current definition to Higher Order Sliding Mode (HOSM) control designs; non-linear designs techniques in the time domain appeared to constitute a major hindrance to the application of HOSM techniques to aircraft and missiles. This paper illustrates the usage of new phase and gain margin techniques applicable to HOSM designs for providing measures of robustness such designs. The technique consists in replacing the -1 singularity point used with linear designs with describing function based representations of the HOSM controller. It is applied here to general problem of guidance of aerospace vehicles steered with aerodynamic lift that is, to a control problem with relative degree = 3. In the application case we assume the unavailability of attitude measurements. Results show that whether the guidance enforces the collision condition or a proportional integral linear manifold has little effect on the robustness. The concept of practical Relative Degree is introduced and applied instead of the strict definition thereof. © 2012 by the American Institute of Aeronautics and Astronautics, Inc.


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