Real-Time Performance Analysis of PIDD2 Controller for Nonlinear Twin Rotor TITO Aerodynamical System

Kumar, Mahendra; Hote, Yogesh V.

doi:10.1007/s10846-021-01322-4

Cited by 17 publications

(11 citation statements)

References 36 publications

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“…Furthermore, the existence of the sensor noise causes this term to deteriorate the performance of the control system. The latter drawback can be overcome by including a low pass filter with the derivative term [11]. Then, the practical PIDD 2 controller can be expressed in Eq.…”

Section: Fundamentals Of Pidd 2 Controllermentioning

confidence: 99%

“…Due to FOPID controller related those disadvantages, researchers have recently come up with a modified version of PID controller known as real PID plus second-order derivative (PIDD 2 ) controller [10]. The underlying advantage of a real PIDD 2 controller is that it can provide smoother and faster responses for higher order systems within acceptable limits of overshoot and settling time [11]. Therefore, the utilization of real PIDD 2 controllers can be encountered in different higher order systems such as multi-area thermal system [12], interconnected time-delayed power systems [13], automatic voltage regulator system [14], isolated microgrid system [15] and blood glucose level maintaining system [16].…”

Section: Introductionmentioning

confidence: 99%

“…Fig 11. Step responses (including disturbance) of magnetic object suspension system designed with different algorithms…”

mentioning

confidence: 99%

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An Effective Controller Design Approach for Magnetic Levitation System Using Novel Improved Manta Ray Foraging Optimization

2021

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This paper demonstrates the development of a novel metaheuristic algorithm which has an enhanced diversification and intensification features and aims to construct an efficient mechanism via the developed algorithm to control a magnetic object suspension. Manta ray foraging optimization (MRFO) algorithm together with generalized opposition-based learning (GOBL) technique and Nelder-Mead (NM) simplex search method is used to define the general frame of the developed algorithm. The developed novel algorithm (Ob-MRFONM) employs the NM method for better intensification whereas integrates the GOBL technique for better diversification. The constructed Ob-MRFONM algorithm is confirmed to have enhanced capabilities via evaluations against well-known unimodal and multimodal benchmark functions. The developed algorithm is also utilized to reach optimum values of a real PID plus second-order derivative (PIDD 2 ) controller employed in a magnetic object suspension system to demonstrate the capability of the Ob-MRFONM algorithm for such a complex real-world engineering problem. It is worth noting that this paper is the first report in the literature that demonstrates the application of a real PIDD 2 controller in a magnetic object suspension system. To reach better capability, a new objective function is used for minimization. Then, the proposed approach is comparatively evaluated in terms of statistical and nonparametric statistical analysis, convergence, transient response, disturbance rejection, controller effort and effects of the noise signal. The demonstrated results also confirm the highly competitive capability of the proposed algorithm for the complex magnetic object suspension system. The nonlinear model of the system is also used in this study in order to validate the linearized model. KeywordsManta ray foraging optimization • Nelder-Mead method • Opposition-based learning • Real PIDD 2 controller • Magnetic ball suspension system • Nonlinear plant B Davut Izci

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Section: Fundamentals Of Pidd 2 Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Effective Controller Design Approach for Magnetic Levitation System Using Novel Improved Manta Ray Foraging Optimization

2021

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“…Some of the approaches use optimization methods and/or artificial intelligence to tune the increased number of coefficients of the controller [4][5][6][7]. Other approaches use controller optimization considering sensitivity constraints [8][9][10][11] or controller design by internal model control (IMC) [12][13][14][15][16][17]. Using a significantly different approach, it is also possible to design higher-order controllers using fractional calculus [18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models

Huba,

Bistak,

Vrancic

2023

Mathematics

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The new modular approach to constrained control of higher-order processes with dominant first-order dynamics using generalized controllers with automatic resets (ARCs) is addressed. The controller design is based on the multiple real dominant pole (MRDP) method for the integrator plus dead time (IPDT) process models. The controller output constraints are taken into account by inserting the smallest numerator time constant of the controller transfer function into the positive feedback loop representing the automatic reset (integral) term. In the series realization of the proportional–integral–derivative–acceleration (PIDA) controller (and other controllers with even derivative degree), the time constant mentioned is complex, so only the real part of the time constant has been used so far. Other possible conversions of a complex number to a real number, such as the absolute value (modulus), can be covered by introducing a tuning parameter that modifies the calculated real time constant and generalizes the mentioned conversion when designing controllers with constraints. In this article, the impact of the tuning parameter on the overall dynamics of the control loop is studied by simulation. In addition, an evaluation of the stability of the closed-loop control system is performed using the circle criterion in the frequency domain. The analysis has shown that the approximation of the complex zero by its real part and modulus leads to a near optimal response to the set point tracking. The disturbance rejection can be significantly improved by increasing the tuning parameter by nearly 50%. In general, the tuning parameter can be used to find a compromise between servo and regulatory control. The robustness and applicability of the proposed controller is evaluated using a time-delayed process with first-order dominant dynamics when the actual transfer function is much more complicated than the IPDT model. A comparison of the proposed MRDP-PIDA controller with series PI, PID and PIDA controllers based on a modified SIMC method has shown that the MRDP-PIDA controller performs better than the SIMC method, although the SIMC uses a more complex process model.

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“…The underlying advantage of a PIDA controller is that it can provide smoother and faster responses for higher order systems within acceptable limits of overshoot and settling time (Kumar and Hote, 2021b). Therefore, the utilization of PIDA controllers can be encountered in different higher order systems such as design of automatic voltage regulator (Mosaad et al, 2019), load frequency control of an isolated microgrid (Kumar and Hote, 2021a) and electric power systems with wave energy conversion systems (Yakout et al, 2021), stabilizing an aerodynamical system (Kumar and Hote, 2021b) and controlling a buoyancy device (Keow et al, 2020). Considering the abovementioned ability of the PIDA controller for higher order systems and its rising trend in employment of the applications as an effective control structure, it was utilized to achieve better stability in this study.…”

Section: Introductionmentioning

confidence: 99%

A novel modified Lévy flight distribution algorithm to tune proportional, integral, derivative and acceleration controller on buck converter system

İzci

Ekinci

Hekimoğlu

2021

Transactions of the Institute of Measurement and Control

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In this paper, an optimal proportional, integral, derivative and acceleration (PIDA) controller design based on Bode’s ideal reference model and a novel modified Lévy flight distribution (mLFD) algorithm is proposed for buck converter system. The modification of the original Lévy flight distribution (LFD) algorithm was achieved by improving exploration and exploitation capabilities of the algorithm through incorporation of opposition-based learning mechanism and hybridizing with simulated annealing algorithm, respectively. The modified algorithm was used to tune the gains of the PIDA controller in order to operate a buck converter system that is mimicking the response of the Bode’s ideal reference model. Both the proposed novel algorithm and its PIDA controller design implementation for buck converter were confirmed through various tests and extensive analyses of statistical and non-parametric tests, convergence profile, transient and frequency responses, disturbance rejection, robustness, and time delay response. The comparative results with the state-of-the-art algorithms of manta ray foraging optimization, arithmetic optimization algorithm and the original LFD algorithm have shown that the proposed mLFD algorithm performs better than the compared ones in all assessments even when different well-known performance indices are used. The proposed Bode’s ideal reference model-based optimal PIDA control design with novel mLFD algorithm was also compared with other design approaches using the same buck converter system available in the literature. The proposed mLFD algorithm-based design approach has also shown greater effectiveness compared to other available methods, as well.

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Real-Time Performance Analysis of PIDD2 Controller for Nonlinear Twin Rotor TITO Aerodynamical System

Cited by 17 publications

References 36 publications

An Effective Controller Design Approach for Magnetic Levitation System Using Novel Improved Manta Ray Foraging Optimization

An Effective Controller Design Approach for Magnetic Levitation System Using Novel Improved Manta Ray Foraging Optimization

Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models

A novel modified Lévy flight distribution algorithm to tune proportional, integral, derivative and acceleration controller on buck converter system

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