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H∞ Robust Control Design for an Arm Manipulator
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H  Robust Control Design for an Arm Manipulator L. González1, 2 and L. Aguilar1 | (1) | Centro de Investigación y Desarrollo de Tecnología Digital, Ave. del Parque #1310, Mesa de Otay, C.P. 22510, Tijuana, B.C., México |
| (2) | Instituto Tecnológico de la Laguna, Torreón, Coah., México |
Abstract This paper deals with the application of the optimal H  control design technique to derive a controller for a 3 DOF arm manipulator affected by nonmodeled dynamics, nonlinearities, actuator dynamics and sensor noise. The control objectives were to obtain a robust stable with robust performance controlled system. A family of nonparametric models for a finite number of the arm configurations was obtained. Then, a multivariable nominal model was proposed and derived together with additive nonparametric uncertainty bounds. Weighting functions were used to normalize the H  norm of the uncertainty and to act on the command, sensor, and error signals. Finally, a controller was computed by solving the corresponding H  optimization problem. The controller was tried on the nominal and worst case configuration models. The results showed robust stability and robust performance of the controlled system. nonparametric model - additive unstructured uncertainty - weighting functions - robust performance - robust stability
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