2007
DOI: 10.1017/s0263574706003298
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A novel PID control parameters tuning approach for robot manipulators mounted on oscillatory bases

Abstract: SUMMARYThis research focuses on the issue of dynamic modeling and controlling a robotic manipulator attached to a compliant base. Such a system is known under the name macro–micro system, characterized by the number of control actuators being less than the number of state variables. The equations of motion for a two-link planar elbow arm mounted on an oscillatory base has been presented in this investigation. In order to study the sensitivity of tuning the PID parameters to achieve the desired performance, the… Show more

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Cited by 14 publications
(12 citation statements)
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“…In this direction, it is important to point out that the sense given in this work to the term ‘tuning’ is the same one given in [5, 6, 15], referring to the inequality conditions on the control parameters – generally in terms of the bound quantifications characterising Properties 1–4 (presented in Section 2) and independent of the operation region – obtained through the closed‐loop analysis to guarantee the pre‐specified control objective. This differs from the meaning given in other works where control‐gain setting aims at coping with performance requirements or give rise to ‘acceptable’ system behaviours [16, 17], regularly focusing on closed‐loop response characteristic aspects such as rising time, overshoot or stabilisation time. Such ‘response‐oriented’ tuning procedures are frequently based on linear or linearised models and/or linear‐model‐based methods.…”
Section: Introductionmentioning
confidence: 73%
“…In this direction, it is important to point out that the sense given in this work to the term ‘tuning’ is the same one given in [5, 6, 15], referring to the inequality conditions on the control parameters – generally in terms of the bound quantifications characterising Properties 1–4 (presented in Section 2) and independent of the operation region – obtained through the closed‐loop analysis to guarantee the pre‐specified control objective. This differs from the meaning given in other works where control‐gain setting aims at coping with performance requirements or give rise to ‘acceptable’ system behaviours [16, 17], regularly focusing on closed‐loop response characteristic aspects such as rising time, overshoot or stabilisation time. Such ‘response‐oriented’ tuning procedures are frequently based on linear or linearised models and/or linear‐model‐based methods.…”
Section: Introductionmentioning
confidence: 73%
“…The grey theory used in ref. [24] to optimize the parameters of a PID controller for a robotic manipulator attached to a compliant base (one of SAMS types). Such a system is known as the macro-micro system, characterized by the number of control actuators being less than the number of state variables.…”
Section: Controller Designmentioning
confidence: 99%
“…However, mounting a robotic manipulator on a crane, boom, or mobile platform reduces its accuracy and speed. In this problem, the manipulator dynamics are substantially affected by nonlinear forces caused by the oscillation of the base, as well as its own nonlinearity; these include gravity, Coriolis, and centrifugal forces, which are generally intrinsic to mechanical systems (Lin and Huang, 2007a,b; Lin et al., 2007).…”
Section: Introductionmentioning
confidence: 99%