Observer Design in LTI Time-Delay Systems using Partial Pole Placement with Applications

Sassi, Ahlem; Boussaada, Islam; Niculescu, Silviu–Iulian

doi:10.1016/j.ifacol.2022.11.350

Cited by 4 publications

(7 citation statements)

References 18 publications

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“…In general, the MID technique can be employed in a wide array of control and observation problems. 20,22,42,44…”

Section: Designing the Vector Gain Lmentioning

confidence: 99%

“…21 Notice that these techniques have been recently employed for the design of observers with instantaneous and delayed correction terms for linear systems with state or input delay. 22 Third, complete the nonlinear analysis by determining the delay margin of the linearized error dynamics using the MID frequency domain results, while computing the gain margin via an input-to-state stability (ISS) perspective. As a consequence, we achieve a less-conservative delay/gain margin trade-off.…”

Section: Introductionmentioning

confidence: 99%

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Dominant‐pole placement for predictor synthesis

Rojas‐Ricca,

Castaños,

Mondié

2024

Intl J Robust & Nonlinear

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This article analyzes the high‐gain prediction approach for nonlinear input‐delay systems. The problem is discussed in the light of weighted homogeneity and input‐to‐state stability. The canonical form for uniformly observable nonlinear systems allows tuning the linear‐part spectrum by multiplicity‐induced dominancy and ensuring closed‐loop system input‐to‐state stability using the descriptor method of the Lyapunov–Krasovskii approach. Due to the trade‐off between delay and gain margin, the limitation of high gain that results for time‐delay systems is overcome using a cascade of subpredictors. A comparative analysis shows that our proposal achieves a better trade‐off between delay and gain margin, resulting in a reduced number of subpredictors.

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“…In general, the MID technique can be employed in a wide array of control and observation problems. 20,22,42,44…”

Section: Designing the Vector Gain Lmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dominant‐pole placement for predictor synthesis

Rojas‐Ricca,

Castaños,

Mondié

2024

Intl J Robust & Nonlinear

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“…In a previous work [11] the intermediate MID property has been exploited through the result of [20] restricting the observer design to the following additional assumption:…”

Section: B Stability and Attenuation Analysis Of The Estimation Errormentioning

confidence: 99%

“…As a result, stability analysis tools are crucial in the design of observers. Among the existing methods, eigenvalue-based methods have become popular in the stabilization of linear time-invariant (LTI) time-delay systems [10] and recently in observers design [11], [12]. A recent pole placement approach, called Partial Poles Placement (PPP), has been introduced in [13].…”

Section: Introductionmentioning

confidence: 99%

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Reduced-Order Observer Design for Time-Delay Systems Using Partial Pole Placement

Sassi,

Boussaada,

Niculescu

2023

2023 IEEE 11th International Conference on Systems and Control (ICSC)

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This paper develops a functional reduced-order observer for a class of Linear Time-Invariant (LTI) systems with time-delay in the state. The proposed observer provides exponentially stable estimation errors. The unbiasedness conditions on the nominal part of the error dynamics of the reducedorder observer were given by employing an algebraic framework. Under such conditions, we propose the use of a partial pole placement of the error dynamical equations to handle sufficient conditions for the existence of the proposed observer. Specifically, we make use of the multiplicity-induced-dominancy property of the characteristic function corresponding to the system's error. The performance and the effectiveness of the developed observer is highlighted through two examples: first, the estimation of the HIV-1 infection dynamics, and second, the improvement of the environmental performance through the study of a diesel engine system.

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