New Tuning Conditions for Semiglobal Exponential Stability of the Classical PID Regulator for Rigid Robots
Author(s) -
Jorge Alberto Orrante-Sakanassi,
Victor Manuel Hernández-Guzmán,
Víctor Santibáñez
Publication year - 2015
Publication title -
international journal of advanced robotic systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 46
eISSN - 1729-8814
pISSN - 1729-8806
DOI - 10.5772/61537
Subject(s) - pid controller , control theory (sociology) , computer science , exponential stability , stability (learning theory) , exponential function , robot , controller (irrigation) , control engineering , control (management) , mathematics , artificial intelligence , temperature control , nonlinear system , physics , engineering , biology , mathematical analysis , quantum mechanics , machine learning , agronomy
In this paper, we introduce a novel tuning procedure to ensure semi-global exponential stability for the classical PID control of rigid robots. This tuning procedure is expressed in terms of conditions which are more relaxed than those proposed previously in the literature. This allows us to perform, for the first time, experimental tests with a classical PID controller ensuring semi-global exponential stability. Finally, we show numerically that previous formal tuning procedures in the literature result in very large controller gains which prohibit the performance of any experimental test
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