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Discrete Second Order Trajectory Generator with Nonlinear Constraints

Authors:Morselli Riccardo, University of Modena and Reggio Emilia, Italy
Zanasi Roberto, University of Modena and Reggio Emilia, Italy
Stramigioli Stefano, University of Twente, Netherlands
Topic:2.4 Optimal Control
Session:Optimal Control in Nonlinear Systems II
Keywords: Trajectory planning, optimal control, constraint satisfactionproblems, nonlinear systems, linear motors

Abstract

A discrete second order trajectory generator for motion control systems is presented. The considered generator is a nonlinear system which receives as input a raw reference signal and provides as output a smooth reference signal satisfying nonlinear constraints on the output derivatives. The trajectory is generated on-line and the imposed constraints can also be changed during system operation withoutmodifying the system stability. Moreover, almost minimum time response is ensured with guaranteed no overshoot. The performances of the nonlinear generator are tested through experiments on a linear motor.