Nonlinear Control of Mismatched Uncertain Linear Systems and Application to Control of Aircraft

[+] Author and Article Information
S. N. Singh

Dept. de Engenharia Elétrica, Universidade Federal de Santa Catarina, 88.000-Florianópolis, SC-Brazil

Antônio A. R. Coelho

Dept. de Engenharia Elétrica, Universidade Federal do Pará, 66.000-Belém, Pará-Brazil

J. Dyn. Sys., Meas., Control 106(3), 203-210 (Sep 01, 1984) (8 pages) doi:10.1115/1.3149673 History: Received August 10, 1983; Online July 21, 2009


This paper describes an approach to control of nonzero set points of uncertain linear systems based on the theory of ultimate boundedness. We derive a nonlinear control which guarantees that every system response is ultimately bounded within a certain neighborhood of the desired nonzero set point. Analytical expressions for the bounds on variations in parameters for ultimate boundedness are obtained. These results are applied to control of a VTOL aircraft whose time-varying parameters are uncertain. Unlike previous works, arbitrary and fast variations in aircraft parameters are allowed. It is shown that the nonlinear controller is effective for larger variation in parameters than the reduced linear controller. Digital simulation results show that the aircraft can be precisely maneuvered in spite of uncertain parameter variations.

Copyright © 1984 by ASME
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