2001
DOI: 10.1109/3516.974856
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Micro-positioning of linear-piezoelectric motors based on a learning nonlinear PID controller

Abstract: Abstract-In this paper, a learning nonlinear proportional integral derivative (PID) controller is developed for vaguely modeled nonlinear systems under the influence of significant disturbance and noise. The control scheme is generic in nature, but it is applied specifically to the micropositioning of linear-piezoelectric motors in this paper. The design of the control scheme does not require a full mathematical model of the nonlinear system. Simulation and experimental results are provided to highlight the go… Show more

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Cited by 110 publications
(46 citation statements)
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“…5, statistical performance of GSA. Our research shows the combination of elevation and azimuth i.e., vertical and horizontal which is better than the errors reported in previous researches [15][16][17], where the error values are reported separately (Vertical or Horizontal). Hence from the results it is observed that by optimizing the α and δ, the results are better than in previous researches [12,13] reported without optimizing α and δ. PSO converges faster in the least optimal parameter in all the cases.…”
Section: Resultscontrasting
confidence: 76%
See 1 more Smart Citation
“…5, statistical performance of GSA. Our research shows the combination of elevation and azimuth i.e., vertical and horizontal which is better than the errors reported in previous researches [15][16][17], where the error values are reported separately (Vertical or Horizontal). Hence from the results it is observed that by optimizing the α and δ, the results are better than in previous researches [12,13] reported without optimizing α and δ. PSO converges faster in the least optimal parameter in all the cases.…”
Section: Resultscontrasting
confidence: 76%
“…Utilizing Nonlinear PID controller for tuning Linear Piezoelectric motors & Superconducting Magnetic Energy Storage have been discussed [15,16] and their research reveals that Nonlinear PID controller shows better performance than conventional linear PID controller. But the nonlinear constants used in the above research findings are fixed and not optimized [14][15][16]. Therefore in our study, tuning of Nonlinear PID controller for MIMO systems is considered and EC methods are used to optimize the nonlinear PID controller parameters.…”
Section: Introductionmentioning
confidence: 99%
“…Various PID tuning techniques has been reported in PEA positioning control applications, e.g. by trial and error [20], by grey relational analysis [105], using an optimal linear quadratic regulation method [106], by a semiautomatic tuning technique [107], and by an automatic tuning technique [108]. However, in broadband operations with large system uncertainties including modeling errors, nonlinearities, external loads, etc., advanced control techniques are required because PID control is limited in bandwidth while dealing with uncertainties [109].…”
Section: Feedbackmentioning
confidence: 99%
“…The PID control is widely used because of its simple construction [52]. Tan [53] proposed a learning type of PID controller, and tried to enhance the robustness of the system.…”
Section: Control Methods Without the Inverse Hysteresis Modelmentioning
confidence: 99%