The proportional-integral (PI) and proportional-integral-derivative (pid) controllers are widely used in Brushless Direct Current (BLDC) motors. To accommodate the high performance requirement of the modern industry, ...
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ISBN:
(纸本)9781728103891
The proportional-integral (PI) and proportional-integral-derivative (pid) controllers are widely used in Brushless Direct Current (BLDC) motors. To accommodate the high performance requirement of the modern industry, optimization of the PI/pid parameters are broadly investigated, and several tuning methods have been proposed. This work illustrates a robust current and speed controllers design method for permanent magnet brushless dc motor (PMBLDCM) where a simulated annealing algorithm is employed to tune the parameters of a PI current controller and a pid speed controller. During the tuning process of controller parameters, three response performance parameters (overshoot, rise time, and settling time) are simultaneously optimized. The technique is compared to both Particle Swarm optimization and Ziegler-Nichols tuning methods and experimental results show the superiority of the proposed approach.
This paper presents the considerations for the design of a closed loop controller application for an electric heater, which is normally characterized by long rise and settling times. The control requirements for these...
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ISBN:
(纸本)9781479959877
This paper presents the considerations for the design of a closed loop controller application for an electric heater, which is normally characterized by long rise and settling times. The control requirements for these types of systems often include tracking a desired temperature profile, with dynamically changes Set Point, which varies at a rate similar or slower to the process time constant. The temperature profile, varies at a significantly slower rate than the natural time constant of the controlled process. Two different pid tuning methods were considered and analyzed for the task described above. First, the pidcontroller was designed based on Internal Model Control (IMC) approach and derived from the process model estimated from the system step response. Secondly, optimization algorithms were applied to estimate the pid parameters and obtain the desired Set Point (SP) step response directly [6]. IMC based pidcontroller is an effective and simple method for designing a closed loop controller, that can be apply for variety types of industrial processes. However, IMC is strongly dependent on the controlled process model, since it is based on its inverse transfer function, an accurate system model is required in order to ensure the desired closed loop performance. The performance of the resulting IMC-pid parameters were calculated and tested in a series of simulations as described in following section. It was tested for tracking both step response and a slow ramp profile. Although simulation results showed good transient respond for SP step change, the initial delay settling time and tracking error were found unacceptably long when applied to track a slowly varying set point profile. Since the control requirements in our application are strict and call for a fast response as well as convergence rate and very close tracking, this controller was determined to be inadequate for the task. In order to overcome this problem, we propose to apply the optimization approac
An approach for parameter estimation of proportional-integral-derivative(pid) control system using a new nonlinear programming(NLP) algorithm was ***/IIPM algorithm is a sequential quadratic programming(SQP) based alg...
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An approach for parameter estimation of proportional-integral-derivative(pid) control system using a new nonlinear programming(NLP) algorithm was ***/IIPM algorithm is a sequential quadratic programming(SQP) based algorithm that derives its search directions by solving quadratic programming(QP) subproblems via an infeasible interior point method(IIPM) and evaluates step length adaptively via a simple line search and/or a quadratic search algorithm depending on the termination of the IIPM *** task of tuning PI/pid parameters for the first-and second-order systems was modeled as constrained NLP problem. SQP/IIPM algorithm was applied to determining the optimum parameters for the PI/pid control *** assess the performance of the proposed method,a Matlab simulation of pidcontroller tuning was conducted to compare the proposed SQP/IIPM algorithm with the gain and phase margin(GPM) method and Ziegler-Nichols(ZN) *** results reveal that,for both step and impulse response tests,the PI/pidcontroller using SQP/IIPM optimization algorithm consistently reduce rise time,settling-time and remarkably lower overshoot compared to GPM and ZN methods,and the proposed method improves the robustness and effectiveness of numerical optimization of pid control systems.
The Ziegler-Nichols process dynamics characterization is based on the estimation of the ultimate gain k(u) and ultimate frequency omega(u). The angle phi of the tangent to the Nyquist curve at the frequency omega(u) i...
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The Ziegler-Nichols process dynamics characterization is based on the estimation of the ultimate gain k(u) and ultimate frequency omega(u). The angle phi of the tangent to the Nyquist curve at the frequency omega(u) is introduced, as an additional parameter in the frequency domain. The essential dynamic characteristics of the process can be captured by using the tangent rule, proposed here as an extension of the Ziegler-Nichols approach. The validity of the tangent rule is confirmed by using the pid controller optimization on a test batch consisting of stable, integrating and unstable processes, including dead-time. Parameters k(u), omega(u) and phi can be determined from the sustained oscillations. using the phase-locked loop identifier module. (C) 2009 Elsevier Ltd. All rights reserved.
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