October 11, 2024
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Article

Modified Active Disturbance Rejection Predictive Control: A fixed-order state-space formulation for SISO systems

Publicated to: ISA TRANSACTIONS. 142 148-163 - 2023-01-01 142(), DOI: 10.1016/j.isatra.2023.08.011

Authors:

Martínez-Carvajal, Blanca Viviana; Sanchís Saez, Javier; Garcia-Nieto, Sergio; Martínez Iranzo, Miguel Andrés
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Affiliations

Univ Politecn Valencia, Inst Univ Automat & Informat Ind, Camino Vera S-N,Bldg 5C, Valencia 46022, Spain - Author

Abstract

This paper presents a novel control strategy that provides active disturbance rejection predictive control on constrained systems with no nominal identified model. The proposed loop relaxes the modelling requirement to a fixed discrete-time state-space realisation of a first-order plus integrator plant despite the nature of the controlled process. A third-order discrete Extended State Observer (ESO) estimates the model mismatch and assumed plant states. Moreover, the constraints handling is tackled by incorporating the compensation term related to the total perturbation in the definition of the optimisation problem constraints. The proposal merges in a new way state-space Model Predictive Control (MPC) and Active Disturbance Rejection Control (ADRC) into an architecture suitable for the servo-regulatory operation of linear and non-linear systems, as shown through validation examples. (c) 2023 The Author(s). Published by Elsevier Ltd on behalf of ISA. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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Keywords

Active disturbance rejection controlAdrConstrained systemsDesignExtended state observeExtended state observerModel predictive controlStabilityState space model

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal ISA TRANSACTIONS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 8/181, thus managing to position itself as a Q1 (Primer Cuartil), in the category Engineering, Multidisciplinary. Notably, the journal is positioned above the 90th percentile.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.14. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 13, 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-06, the following number of citations:

  • WoS: 7
  • Scopus: 7
  • Europe PMC: 1
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-06:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Iran.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Carvajal, Blanca Viviana Martinez) and Last Author (Martínez Iranzo, Miguel Andrés).

the author responsible for correspondence tasks has been Carvajal, Blanca Viviana Martinez.

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Awards linked to the item

This work has been supported by MCIN/AEI/10.13039/501100011033 [Project PID2020-120087GB-C21] , MCIN/AEI/10.13039/501100011033 [Project PID2020-119468O-I00] , the Generalitat Valenciana regional government, Spain [Project CIAICO/2021/064] , and the Ministry of Science, Technology and Innovation of Colombia [scholarship programme 885] .
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