2012.11: Minimum Entropy Approach For Robot Manipulator

2012.11: Zakwan Skaf, Ahmad AI-Bayati and Hong Wang (2011) Minimum Entropy Approach For Robot Manipulator. In: 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), December 12-15, Orlando, FL, USA,.

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Abstract

In this paper, a new algorithm for an adaptive PI controller for nonlinear systems subject to stochastic non- Gaussian disturbance is studied. The minimum entropy control is applied to decrease the closed-loop tracking error on an ILC basis. The key issue here is to divide the control horizon into a number of equal time intervals called batches. Within each interval, there are a fixed number of sample points. The design procedure is divided into two main algorithms, within each batch and between any two adjacent batches. A D-type ILC law is employed to tune the PI controller coefficients between two adjacent batches. However, within each batch, the PI coefficients are fixed. A sufficient condition is established to guarantee the stability of the closed-loop system. An analysis of the ILC convergence is carried out. Two-link robot manipulator example is included to demonstrate the use of the control algorithm, and satisfactory results are obtained.

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