Quasi-Optimal Sampling Time Computation for LTI Controllers

Şuşcă, Mircea; Mihaly, Vlad; Morar, Dora; Dobra, Petru

doi:10.1016/j.ifacol.2022.07.613

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…However, in order to compute the integral terms from  , in a similar manner with the single-loop case, a set Ω = {𝜔 = 𝜔 1 < 𝜔 2 < ⋯ < 𝜔 N − 𝜔 𝜀 = 𝜔} can be considered, while the similarity performance index being approximated as in (27). Moreover, a sufficiently large value 𝛼 ∞ is mandatory as in (28) such that the stability functional manages to keep the role of determining the feasibility subdomain of , leading to the following approximation of the original performance index:…”

Section: Cascade Control Structurementioning

confidence: 99%

“…This work is an extension of the conference paper from [27], with the results reiterated for a worst-case execution time analysis in [28], and it has the following improvements and modifications for the current paper:…”

Section: Introductionmentioning

confidence: 99%

“…This work is an extension of the conference paper from [27], with the results reiterated for a worst‐case execution time analysis in [28], and it has the following improvements and modifications for the current paper: (a)the optimization problem is posed in a multi‐rate context, with the direct applicability in MIMO cascade control structures, while in our previous work only the single loop control structure has been considered for the single‐input and single‐output (SISO) case only; (b)the proposed functionals are extended to the multi‐input and multi‐output case by quantifying the magnitude using the singular values of the system; (c)a mixed‐integer artificial bee colony algorithm is designed and implemented for solving the described non‐convex optimization problems instead of using a simple linesearch algorithm; (d)a comparison is performed to the well‐established approaches for sampling rate selection based on a number of variations on the Shannon‐Nyquist theorem, along with variations on the closed‐loop bandwidth approach; (e)a two‐dimensional representation of the global functional is portrayed, with intuitive means of distinguishing clusters of solutions, which reveals the non‐convex nature of the resulting optimization problem and marks the differences towards available approaches. …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Şuşcă

Mihaly

Dobra

2023

IET Control Theory & Appl

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This article proposes an optimization‐based approach to selecting the sampling periods for classes of linear time‐invariant (LTI) regulators in a cascaded multi‐rate control structure, to account for practical implementation on numeric systems. Starting from the Shannon‐Nyquist sampling theorem, which proposes the minimum required sampling frequency for completely recovering the original analog signal from its discrete samples, the scope of the sampling process, viewed from a control perspective, is to ensure asymptotic stability of the closed‐loop system, with the smallest possible degradation of the initially‐proposed performance indices as possible according to a set of well‐picked criteria. As such, a configurable optimization‐based approach is proposed, solved with the mixed‐integer artificial bee colony (MI‐ABC) algorithm, for selecting the sampling periods by specifying the emphasis between closed‐loop fidelity and ease of implementation, with an intuitive visualization method. The proposed solution is illustrated on two case studies, with emphasis on the construction of the proposed functionals and their practical implications.

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Section: Cascade Control Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Şuşcă

Mihaly

Dobra

2023

IET Control Theory & Appl

Self Cite

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Sampling Period Analysis for Deterministic and Stochastic Controllers: An Algorithmic Tool for Performance Optimization

da Silva Araújo,

da Silva Silveira

2024

IEEE Access

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Sampling Rate Optimization and Execution Time Analysis for Two-Degrees-of-Freedom Control Systems

et al. 2022

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The current journal paper proposes an end-to-end analysis for the numerical implementation of a two-degrees-of-freedom (2DOF) control structure, starting from the sampling rate selection mechanism via a quasi-optimal manner, along with the estimation of the worst-case execution time (WCET) for the specified controller. For the sampling rate selection, the classical Shannon–Nyquist sampling theorem is replaced by an optimization problem that encompasses the trade-off between the fidelity of the controllers’ representation, along with the fidelity of the resulting closed-loop systems, and the implementation difficulty of the controllers. Additionally, the WCET analysis can be seen as a verification step before automatic code generation, a computational model being provided. The proposed computational model encompasses infinite-impulse response (IIR) and finite-impulse response (FIR) filter models for the controller implementation, along with additional relevant phenomena being discussed, such as saturation, signal scaling and anti-windup techniques. All proposed results will be illustrated on a DC motor benchmark control problem.

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Quasi-Optimal Sampling Time Computation for LTI Controllers

Cited by 3 publications

References 8 publications

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Sampling Period Analysis for Deterministic and Stochastic Controllers: An Algorithmic Tool for Performance Optimization

Sampling Rate Optimization and Execution Time Analysis for Two-Degrees-of-Freedom Control Systems

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