SOSPD Controllers Tuning by Means of an Evolutionary Algorithm

The Proportional Integral Derivative (PID) controller is the most widely used industrial device to monitoring and controlling processes. There are numerous methods for estimating the controller parameters, in general, resolving particular cases. Current trends in parameter estimation minimize an integral performance criterion. Therefore, the calculation of the controller parameters is proposed as an optimization problem. Although there are alternatives to the traditional rules of tuning, there is not yet a study showing that the use of heuristic algorithms it is indeed better than using the classic methods of optimal tuning. In this paper, the evolutionary algorithm MAGO is used as a tool to optimize the controller parameters. The procedure is applied to a range of standard plants modeled as a Second Order System plus Time Delay. Better results than traditional methods of optimal tuning, regardless of the operating mode of the controller, are yielded.

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SOSPD Controllers Tuning by Means of an Evolutionary Algorithm

International Journal of Natural Computing Research ◽

10.4018/ijncr.2014040103 ◽

2014 ◽

Vol 4 (2) ◽

pp. 40-58 ◽

Cited By ~ 2

Author(s):

Jesús-Antonio Hernández-Riveros ◽

Jorge-Humberto Urrea-Quintero

Keyword(s):

Evolutionary Algorithm ◽

Optimization Problem ◽

Heuristic Algorithms ◽

Operating Mode ◽

Performance Criterion ◽

Order System ◽

Optimal Tuning ◽

Current Trends ◽

Controlling Processes ◽

Better Than

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Online Parameter Estimation for Lithium-ion Battery by using Adaptive Observer for Fractional Order System

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss.137.1015 ◽

2017 ◽

Vol 137 (8) ◽

pp. 1015-1023

Author(s):

Takahiro Takamatsu ◽

Hiromitsu Ohmori

Keyword(s):

Parameter Estimation ◽

Lithium Ion Battery ◽

Fractional Order ◽

Lithium Ion ◽

Fractional Order System ◽

Adaptive Observer ◽

Order System

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Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

Advances in Difference Equations ◽

10.1186/s13662-019-2356-1 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Yajie Li ◽

Zhiqiang Wu ◽

Guoqi Zhang ◽

Feng Wang ◽

Yuancen Wang

Keyword(s):

Time Delay ◽

White Noise ◽

Gaussian White Noise ◽

Singularity Theory ◽

Van Der Pol Oscillator ◽

Order System ◽

Damping Force ◽

Van Der Pol ◽

Restoring Force ◽

White Noise Excitation

Abstract The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error principle, the fractional derivative term is found to be equivalent to the linear combination of damping force and restoring force, and the original system is further simplified to an equivalent integer order system. Secondly, the stationary Probability Density Function (PDF) of system amplitude is obtained by stochastic averaging, and the critical parametric conditions for stochastic P-bifurcation of system amplitude are determined according to the singularity theory. Finally, the types of stationary PDF curves of system amplitude are qualitatively analyzed by choosing the corresponding parameters in each area divided by the transition set curves. The consistency between the analytical solutions and Monte Carlo simulation results verifies the theoretical analysis in this paper.

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Complementary Sensitivity Design of PID Controllers for Arbitrary-Order Transfer Functions With Time Delay

ASME 2008 Dynamic Systems and Control Conference, Parts A and B ◽

10.1115/dscc2008-2205 ◽

2008 ◽

Cited By ~ 4

Author(s):

Tooran Emami ◽

John M. Watkins

Keyword(s):

Time Delay ◽

Transfer Functions ◽

Linear Time ◽

Order System ◽

Pid Controllers ◽

Single Input Single Output ◽

Linear Time Invariant ◽

Single Output ◽

Plant Transfer ◽

Time Invariant

A graphical technique for finding all proportional integral derivative (PID) controllers that stabilize a given single-input-single-output (SISO) linear time-invariant (LTI) system of any order system with time delay has been solved. In this paper a method is introduced that finds all PID controllers that also satisfy an H∞ complementary sensitivity constraint. This problem can be solved by finding all PID controllers that simultaneously stabilize the closed-loop characteristic polynomial and satisfy constraints defined by a set of related complex polynomials. A key advantage of this procedure is the fact that it does not require the plant transfer function, only its frequency response.

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