Performance Portrait Method: An Intelligent PID Controller Design Based on a Database of Relevant Systems Behaviors

Huba, Mikuláš; Vrančić, Damir

doi:10.3390/s22103753

Cited by 9 publications

(3 citation statements)

References 54 publications

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“…The core of the performance portrait method (PPM) is to search all relevant solutions and find the best one based on performance measures. An important advantage of numerical optimization of controller parameters based on a set (database) of system responses [44][45][46] is that it can be easily reused in case of changed specifications for the target system performance. In the first phase of the method, the transient responses are determined by simulation or experimentation on a real process with different relevant sets of control parameters.…”

Section: Calculation Of the Series Pida Controller For The Ipdt Syste...mentioning

confidence: 99%

Series PIDA Controller Design for IPDT Processes

2023

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This paper discusses optimal design of the series proportional–integral–derivative–accelerative (PIDA) controller for integral-plus-dead-time (IPDT) plants. The article starts with the design of disturbance reconstruction and compensation based on proportional-derivative-accelerative (PDA) stabilizing controllers. It shows that by introducing positive feedback by a low-pass filter from the (limited) output of the stabilizing PDA controller, one gets disturbance observer (DOB) for the reconstruction and compensation of input disturbances. Thereby, the DOB functionality is based on evaluating steady-state controller output. This DOB interpretation is in full agreement with the results of the analysis of the optimal setting of the stabilizing PDA controller and of its expanded PIDA version with positive feedback from the controller output. By using the multiple real dominant pole (MRDP) method, it confirms that the low-pass filter time constant in positive feedback must be much longer than the dominant time constant of the stabilized loop. This paper also shows that the constrained PIDA controller with the MRDP setting leads to transient responses with input and output overshoots. Experimentally, such a constrained series PIDA controller can be shown as equivalent to a constrained MRDP tuned parallel PIDA controller in anti-windup connection using conditional integration. Next, the article explores the possibility of removing overshoots of the output and input of the process achieved for MRDP tuning by interchanging the parameters of the controller transfer function, which was proven as very effective in the case of the series PID controller. It shows that such a modification of the controller can only be implemented approximately, when the factorization of the controller numerator, which gives complex conjugate zeros, will be replaced by a double real zero. Neglecting the imaginary part and specifying the feedback time constant with a smaller approximative time constant results in the removal of overshoots, but the resulting dynamics will not be faster than for the previously mentioned solutions. A significant improvement in the closed-loop performance can finally be achieved by the optimal setting of the constrained series PIDA controller calculated using the performance portrait method. This article also points out the terminologically incorrect designation of the proposed structure as series PIDA controller, because it does not contain any explicit integral action. Instead, it proposes a more thorough revision of the interpretation of controllers based on automatic reset from the controller output, which do not contain any integrator, but at the same time represent the core of the most used industrial automation. In the end, constrained structures using automatic reset of the stabilizing controller output can ensure a higher performance of transient responses than the usually preferred solutions based on parallel controllers with integral action that, in order to respect the control signal limitation, must be supplemented with anti-windup circuitry. The excellent properties of the constrained series PIDA controller are demonstrated by an example of controlling a thermal process and proven by the circle criterion of absolute stability.

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Section: Calculation Of the Series Pida Controller For The Ipdt Syste...mentioning

confidence: 99%

Series PIDA Controller Design for IPDT Processes

2023

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“…In this sense, intelligent algorithms have been successfully employed to solve multimodal optimization tasks from various real-world problems. For example, in [21], the authors proposed the use of an improved version of the Salp Swarm Algorithm to deal with feature selection problems; variations of the Moth-flame algorithm, Particle Swarm Optimization (PSO), Genetic Algorithm (GA), and Bees Life Algorithm (BLA) were addressed for cyber-physical system applications in real fog computing; a hybrid proposition among Firefly Algorithm and PSO is proposed in [22] for optimal cluster head selection in wireless sensor networks with the goal of increasing the energy efficiency of the system; notwithstanding, nonlinear control is the target of many studies involving bio-inspired optimization, such as [23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Metaheuristics-Based Optimization of a Robust GAPID Adaptive Control Applied to a DC Motor-Driven Rotating Beam with Variable Load

Borges

Guerreiro

Monteiro

et al. 2022

Sensors

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This work aims to analyze two metaheuristics optimization techniques, Genetic Algorithm (GA) and Particle Swarm Optimization (PSO), with six variations each, and compare them regarding their convergence, quality, and dispersion of solutions. The optimization target is the Gaussian Adaptive PID control (GAPID) to find the best parameters to achieve enhanced performance and robustness to load variations related to the traditional PID. The adaptive rule of GAPID is based on a Gaussian function that has as adjustment parameters its concavity and the lower and upper bound of the gains. It is a smooth function with smooth derivatives. As a result, it helps avoid problems related to abrupt increases transition, commonly found in other adaptive methods. Because there is no mathematical methodology to set these parameters, this work used bio-inspired optimization algorithms. The test plant is a DC motor with a beam with a variable load. Results obtained by load and gain sweep tests prove the GAPID presents fast responses with very low overshoot and good robustness to load changes, with minimal variations, which is impossible to achieve when using the linear PID.

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“…Continuing with the theme of control systems for Industry 4.0, the authors of [10] use the performance portrait method (PPM) to design optimal and robust proportional-integralderivative controllers with two degrees of freedom (2DoF PID) for a double-integrator plus dead-time (DIPDT) process model. The PPM is used to verify the pilot analytical design of the parallel 2DoF PID controller and to illustrate design efficiency by analyzing the effects of different loop parameters on changing the optimal processes iteratively.…”

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confidence: 99%