In this paper the tracking problem of a robotic system with model uncertainty is considered via an application of the H∞ control theory for nonlinear systems. In particular, we develop a state feedback controller which yields a global exponential stability of the underlying system and provides the closed loop system with relatively low gains. The main ingredient which facilitates our development is the choice of a particular storage function (which serves as a Lyaponov function). This particular storage function leads to certain linear matrix inequalities, the solution of which yields the desired controller. Moreover, the resulting LMIs (Linear Matrix Inequalities) turn out to be of the same form of the LMIs achieved in the analogous linear case. Simulation results and implementation of the control algorithm in a two-degree of freedom robot illustrate the controller efficiency.
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ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis
July 7–9, 2008
Haifa, Israel
Conference Sponsors:
- International
ISBN:
978-0-7918-4836-4
PROCEEDINGS PAPER
Robust Adaptive Nonlinear Controller for Robotic Systems: Linear Matrix Inequality Approach
Itzhack Levy,
Itzhack Levy
Ben Gurion University of the Negev, Beer Sheva, Israel
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Nadav Berman,
Nadav Berman
Ben Gurion University of the Negev, Beer Sheva, Israel
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Amit Ailon
Amit Ailon
Ben Gurion University of the Negev, Beer Sheva, Israel
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Itzhack Levy
Ben Gurion University of the Negev, Beer Sheva, Israel
Nadav Berman
Ben Gurion University of the Negev, Beer Sheva, Israel
Amit Ailon
Ben Gurion University of the Negev, Beer Sheva, Israel
Paper No:
ESDA2008-59411, pp. 485-493; 9 pages
Published Online:
July 6, 2009
Citation
Levy, I, Berman, N, & Ailon, A. "Robust Adaptive Nonlinear Controller for Robotic Systems: Linear Matrix Inequality Approach." Proceedings of the ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. Volume 2: Automotive Systems; Bioengineering and Biomedical Technology; Computational Mechanics; Controls; Dynamical Systems. Haifa, Israel. July 7–9, 2008. pp. 485-493. ASME. https://doi.org/10.1115/ESDA2008-59411
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