This paper discusses the development of a nonlinear controller design methodology and its application to an automotive control problem. The method is called the “Multiple Sliding Surface” method and is closely related to sliding mode control, input/output linearization and integrator backstepping. The method was developed for a class of systems, typical of automotive control systems, where the uncertainties are “mismatched” and where many of the equations contain sparse, experimentally obtained maps. The error bounds on these maps are often unknown and their sparseness makes them difficult to differentiate. The developed method does not require any derivatives and has guaranteed semi-global stability. This paper summarizes the development of the method and applies it to the design of a highly nonlinear system. The example is a combined brake/throttle controller for precision vehicle following. This controller was implemented on the California PATH vehicles in DEMO’97, an automated highway technology demonstration that occurred in San Diego, California in August of 1997. [S0022-0434(00)03004-5]
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December 2000
Technical Papers
Multiple Sliding Surface Control: Theory and Application
J. K. Hedrick, Professor,,
J. K. Hedrick, Professor,
Department of Mechanical Engineering, University of California, Berkeley, CA 94720
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P. P. Yip, Senior Software Engineer,
P. P. Yip, Senior Software Engineer,
Hifn Inc., 750 University Ave., Los Gatos, CA 95032
Search for other works by this author on:
J. K. Hedrick, Professor,
Department of Mechanical Engineering, University of California, Berkeley, CA 94720
P. P. Yip, Senior Software Engineer,
Hifn Inc., 750 University Ave., Los Gatos, CA 95032
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division February 18, 2000. Associate Technical Editors: E. Misawa and V. Utkin.
J. Dyn. Sys., Meas., Control. Dec 2000, 122(4): 586-593 (8 pages)
Published Online: February 18, 2000
Article history
Received:
February 18, 2000
Citation
Hedrick, J. K., and Yip, P. P. (February 18, 2000). "Multiple Sliding Surface Control: Theory and Application ." ASME. J. Dyn. Sys., Meas., Control. December 2000; 122(4): 586–593. https://doi.org/10.1115/1.1321268
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