A new set of multivariable predictive control algorithms for time-delayed nonsquare systems of different domains: A minimum-energy examination

Wojciech P. Hunek and Tomasz Feliks

Applied Energy, 2025, vol. 381, issue C, No S0306261924024772

Abstract: A new approach to the minimum-energy design of stochastic inverse model control-oriented predictive control algorithms dedicated to the multivariable physical systems is proposed in the paper. For this reason, the novel transfer-function-type stochastic solutions in the forms of respective continuous-time minimum variance control (CMVC) and discrete-time minimum variance control (DMVC), both employing generalized inverses, are examined. The theoretical and practical simulation examples confirm high advantages of the original σ and Smith factorization-oriented inverses over the benefits derived from the well-established Moore–Penrose inverse regarding the energy-based robustification of the discussed control procedures. Henceforth, from now on, the industrial real-life systems can be developed toward a minimum-energy consumption at the same time preserving the maximum-speed and maximum-accuracy important maintenance for modern sustainable energy plants.

Keywords: Multivariable nonsquare objects; Systems with time delays; Transfer-function/state-space domains; Inverse (internal) model control; Minimum-energy design; Generalized inverses (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.apenergy.2024.125093

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