A Microcontroller-Based Adaptive Model Predictive Control Platform for Process Control Applications

Short, Michael; Abugchem, Fathi

doi:10.3390/electronics6040088

Cited by 14 publications

(9 citation statements)

References 21 publications

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“…To reduce this, the simplified form presented by (28) can be expressed considering a Constraint Horizon [37] for input constraints ( ≤ ) and another for output constraints ( ≤ ).…”

Section: Constrained Gpc Formulationmentioning

confidence: 99%

Explicit GPC Control Applied to an Approximated Linearized Crane System

Fonseca

Dantas

Dórea

et al. 2019

Journal of Control Science and Engineering

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This paper proposes a MIMO Explicit Generalized Predictive Control (EGPC) for minimizing payload oscillation of a Gantry Crane System subject to input and output constraints. In order to control the crane system efficiently, the traditional GPC formulation, based on online Quadratic Programming (QP), is rewritten as a multiparametric quadratic programming problem (mp-QP). An explicit Piecewise Affine (PWA) control law is obtained and holds the same performance as online QP. To test effectiveness, the proposed method is compared with two GPC formulations: one that handle constraints (CGPC) and another that does not handle constraints (UGPC). Results show that both EGPC and CGPC have better performance, reducing the payload swing when compared to UGPC. Also both EGPC and CGPC are able to control the system without constraint violation. When comparing EGPC to CGPC, the first is able to calculate (during time step) the control action faster than the second. The simulations prove that the overall performance of EGPC is superior to the other used formulations.

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“…To reduce this, the simplified form presented by (28) can be expressed considering a Constraint Horizon [37] for input constraints ( ≤ ) and another for output constraints ( ≤ ).…”

Section: Constrained Gpc Formulationmentioning

confidence: 99%

Explicit GPC Control Applied to an Approximated Linearized Crane System

Fonseca

Dantas

Dórea

et al. 2019

Journal of Control Science and Engineering

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“…1: The proposed architecture thereof). In [27], a lightweight MPC scheme able to adjust its prediction horizon has been presented and evaluated on a simple industrial process plant. However, in [27] horizon changes are driven by the need of tuning the reference trajectory of the model.…”

Section: Introductionmentioning

confidence: 99%

A Two-Layer Near-Optimal Strategy for Substation Constraint Management via Home Batteries

Melatti

Mari

Mancini

et al. 2022

IEEE Trans. Ind. Electron.

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Within electrical distribution networks, substation constraints management requires that aggregated power demand from residential users is kept within suitable bounds. Efficiency of substation constraints management can be measured as the reduction of constraints violations w.r.t. unmanaged demand. Home batteries hold the promise of enabling efficient and user-oblivious substation constraints management. Centralized control of home batteries would achieve optimal efficiency. However, it is hardly acceptable by users, since service providers (e.g., utilities or aggregators) would directly control batteries at user premises. Unfortunately, devising efficient hierarchical control strategies, thus overcoming the above problem, is far from easy. We present a novel two-layer control strategy for home batteries that avoids direct control of home devices by the service provider and at the same time yields nearoptimal substation constraints management efficiency. Our simulation results on field data from 62 households in Denmark show that the substation constraints management efficiency achieved with our approach is at least 82% of the one obtained with a theoretical optimal centralized strategy. NOMENCLATUREs EDN substation T s set of time slots for substation s U set of houses (users) t time slot (element of T ) u house (element of U ) T u set of time slots for house u; note that, for all notation depending on an house index u, if the house is understood, u is not shown T u,P set of time slots in T u in which the EV is plugged-in on house u τ l duration (in minutes

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“…This difficulty can be circumvented by finding explicit control laws using controlled invariant contractive sets as the solution of a multiparametric programming problem which results in a piecewise affine (PWA) law over a polyhedral set satisfying the constraints. Additionally, new controller techniques such as predictive (Short and Abugchem 2017), fuzzy (Khan et al 2015) and neural (Zelentsov and Denysiuk 2019) are not as frequently used in the industry as PID.…”

Section: Introductionmentioning

confidence: 99%

PLC Implementation of Piecewise Affine PI Controller Applied to Industrial Systems with Constraints

Pinto

Dantas

Maitelli

et al. 2019

J Control Autom Electr Syst

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In this paper, the design of a piecewise affine proportional integral (PWA-PI) controller algorithm based on invariant set and multiparametric programming for constrained systems is proposed. We implemented the algorithm in a programmable logic controller (PLC) to control an industrial constrained level plant and analyze its behavior. Structured text routines were programmed and validated while controlling two systems with PLC. The results show that the constraints on the error, integral of the error, system output and control action are respected because PWA-PI controllers are tuned from the solution of an optimization problem. The evaluated performance indexes (such as mean square error, Goodhart, overshoot and settling time) show that PWA-PI can be adjusted for better performance than proportional integral (PI) controller tuned by Ziegler-Nichols (Z-N) rules. In the analyzed cases, a settling time of 108 s was obtained, whereas PI controller with Z-N rules presented a 179 s settling time. All of the analyzed performance indexes that we used to evaluate both controllers show PWA-PI as a better controller for constrained systems.

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A Microcontroller-Based Adaptive Model Predictive Control Platform for Process Control Applications

Cited by 14 publications

References 21 publications

Explicit GPC Control Applied to an Approximated Linearized Crane System

Explicit GPC Control Applied to an Approximated Linearized Crane System

A Two-Layer Near-Optimal Strategy for Substation Constraint Management via Home Batteries

PLC Implementation of Piecewise Affine PI Controller Applied to Industrial Systems with Constraints

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