Optimal Fractional Order Proportional Integral Controller for Varying Time-Delay Systems

Bhambhani, Varsha; Chen, YangQuan; Xue, Dingyü

doi:10.3182/20080706-5-kr-1001.00825

Cited by 26 publications

(25 citation statements)

References 26 publications

(33 reference statements)

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“…It is noticed that since the Smart Wheel is a delay-dominated system, it will result in higher jitter margin using an optimal proportional integral derivative (OPID) controller. This is in confirmation with the results obtained in the work of Varsha et al [37]. However, for systems with L and T in the range [0.1 · · · 1], the upper bound on jitter margin is increased manyfold.…”

Section: Resultssupporting

confidence: 91%

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Tuning fractional order proportional integral controllers for fractional order systems

Luo

Wang

Chen

2009

2009 Chinese Control and Decision Conference

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Section: Resultssupporting

confidence: 91%

“…It is noticed that since the Smart Wheel is a delay-dominated system, it will result in higher jitter margin using an OPID controller. This is in confirmation with the results obtained in the work of Bhambhani et al [37]. …”

Section: Discussionsupporting

confidence: 93%

Tuning fractional order proportional integral controllers for fractional order systems

Luo

Wang

Chen

2009

2009 Chinese Control and Decision Conference

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“…The proposed methodology can be easily validated for commonly encountered FOPTD processes (14) also which are much easier to handle with PID controllers. Astrom & Hagglund [65] studied such lag dominated (15) and delay dominated (16) processes which have been tested over a network with drop and variable delays with the proposed tuning technique like that presented in Bhambhani et al [29], [66]. The GA based PID and FOPID tuning results are shown reported in Table 5 with the corresponding closed loop response and control signals in Fig.…”

Section: Validation Of the Tuning Methodology For Lesser Complicated mentioning

confidence: 99%

Handling packet dropouts and random delays for unstable delayed processes in NCS by optimal tuning of controllers with evolutionary algorithms

2011

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The issues of stochastically varying network delays and packet dropouts in Networked Control System (NCS) applications have been simultaneously addressed by time domain optimal tuning of fractional order (FO) PID controllers. Different variants of evolutionary algorithms are used for the tuning process and their performances are compared. Also the effectiveness of the fractional order PI(λ)D(μ) controllers over their integer order counterparts is looked into. Two standard test bench plants with time delay and unstable poles which are encountered in process control applications are tuned with the proposed method to establish the validity of the tuning methodology. The proposed tuning methodology is independent of the specific choice of plant and is also applicable for less complicated systems. Thus it is useful in a wide variety of scenarios. The paper also shows the superiority of FOPID controllers over their conventional PID counterparts for NCS applications.

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“…In practice, the experimental works on the coupled tanks system, which cover the inflow and the outflow, are affected by some disturbances, such as inaccuracy of apparatus, man-made error and unfamiliar skill, and would give the inappropriate results [7]. Due to these reasons, the steady-state of the operating height level in the coupled tanks system is not easy to be addressed [8].…”

Section: Introductionmentioning

confidence: 99%

An Expanded Optimal Control Policy for a Coupled Tanks System with Random Disturbance

Kek¹,

Sim²,

Chen³

2019

APM

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In this paper, an expanded optimal control policy is proposed to study the coupled tanks system, where the random disturbance is added into the system. Since the dynamics of the coupled tanks system can be formulated as a nonlinear system, determination of the optimal water level in the tanks is useful for the operation decision. On this point of view, the coupled tanks system dynamics is usually linearized to give the steady state operating height. In our approach, a model-based optimal control problem, which is adding with adjusted parameters, is considered to obtain the true operating height of the real coupled tanks system. During the computation procedure, the differences between the real plant and the model used are measured repeatedly, where the optimal solution of the model used is updated. On this basis, system optimization and parameter estimation are integrated. At the end of the iteration, the iterative solution approximates to the correct optimal solution of the original optimal control problem, in spite of model-reality differences. In conclusion, the efficiency of the approach proposed is shown.

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Optimal Fractional Order Proportional Integral Controller for Varying Time-Delay Systems

Cited by 26 publications

References 26 publications

Tuning fractional order proportional integral controllers for fractional order systems

Tuning fractional order proportional integral controllers for fractional order systems

Handling packet dropouts and random delays for unstable delayed processes in NCS by optimal tuning of controllers with evolutionary algorithms

An Expanded Optimal Control Policy for a Coupled Tanks System with Random Disturbance

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