Stability and Robustness Analysis of a Class of Adaptive Controllers for Robotic Manipulators

Author:

Sadegh Nader1,Horowitz Roberto2

Affiliation:

1. The George W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, Georgia 30332

2. Department of Mechanical Engineering University of California at Berkeley Berkeley, California 94720

Abstract

The stability and robustness properties of the adaptive control scheme proposed by Sadegh and Horowitz (1987) are stud ied. The properties include the global exponential stability and Lp input/output stability of the nonadaptive (i.e., fixed- parameter) control system and the global asymptotic stability of the adaptive control scheme. Sufficient conditions for the convergence of the estimated parameters to their true values are also given. A computationally efficient adaptation scheme that is a modified version of the original scheme is proposed. The modified scheme utilizes the desired trajectory outputs, which can be calculated a priori, instead of the actual joint outputs in the parameter adaptation algorithm and the non linearity compensation controller. Sufficient conditions for guaranteeing all the stability properties of the original scheme in the modified scheme are also explicitly derived. A com puter simulation study of the performance of both schemes in the presence of noise disturbances is conducted.

Publisher

SAGE Publications

Subject

Applied Mathematics,Artificial Intelligence,Electrical and Electronic Engineering,Mechanical Engineering,Modelling and Simulation,Software

Reference21 articles.

1. Arimoto, S. and Miyazaki, F. 1984, Stability and robustness of PID feedback control for robot manipulators of sensory capability. In M. Brady and R. P. Paul (eds.): Robotics Research: First International Symposium. Cambridge, Mass.: MIT Press, pp. 783-799.

2. An Adaptive Model Following Control for Robotic Manipulators

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