Positive observer design for linear impulsive positive systems with interval uncertainties and time delay

Hu, Meng‐Jie; Wang, Yan‐Wu; Xiao, Jiang‐Wen

doi:10.1007/s12555-016-0102-y

Cited by 8 publications

(2 citation statements)

References 28 publications

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“…29,30 By using this new type of Lyapunov function, the corresponding results are then derived in the linear programming (LP) form which are more amenable to be analyzed and calculated. 31 On another front, owing to the wide existence of the environmental perturbations and measurement errors, inherent uncertainties exist ubiquitously in the engineering fields, which may decline the performances or even destroy stability of the systems. 32 The last decade has witnessed an increasing interest in the study of switched positive systems with uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Non‐fragile dynamic output‐feedback control for ‐gain performance of positive FM‐II model with PDT switching: An event‐triggered mechanism

Wang

Liang

Zhang

et al. 2022

Intl J Robust & Nonlinear

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In this article, the design problem of event-triggered (E-T) non-fragile dynamic output-feedback controller is addressed for the uncertain Fornasini-Marchesini second (FM-II) model with persistent dwell time (PDT) switching constraint.First of all, a novel E-T scheme is introduced to reduce the measurement transmission ratio so as to decrease the occupancy of the communication channels. Then, by choosing a suitable co-positive type Lyapunov function and utilizing the PDT method, sufficient conditions are obtained under which the obtained closed-loop system is positive, robustly exponentially stable and has an l 1 -gain performance. The corresponding controller design issues are simultaneously discussed, and the parameterized matrices are explicitly designed by solving some linear programming inequalities. Finally, a simulation example is provided to show feasibility of the developed theoretical results.

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Section: Introductionmentioning

confidence: 99%

Non‐fragile dynamic output‐feedback control for ‐gain performance of positive FM‐II model with PDT switching: An event‐triggered mechanism

Wang

Liang

Zhang

et al. 2022

Intl J Robust & Nonlinear

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“…Recently, an impulsive positive observer has been developed for continuous-time positive linear systems (Xiao et al, 2017). Positive observers have been extended for other types of positive systems such as switched systems (Wang et al, 2016), quadratic systems (Okamoto et al, 2016), time-delay systems (Trinh et al, 2017), linear impulsive delayed systems (Hu et al, 2017), and positive 2D discrete-time systems (Shen and Wang, 2017). Moreover, there are few articles presenting observers for uncertain positive systems (Chen and Lam, 2014; Chen et al, 2014; Li and Lam, 2012), and also in the presence of unknown input or disturbances (Shafai et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Impulsive finite-time observer design for uncertain positive linear systems with L2-gain analysis

Motahhari

Shafiei

2020

Transactions of the Institute of Measurement and Control

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This paper is concerned with the design of a finite-time positive observer (FTPO) for continuous-time positive linear systems, which is robust regarding the L2-gain performance. In positive observers, the estimation of the state variables is always nonnegative. In contrast to previous positive observers with asymptotic convergence, an FTPO estimates positive state variables in a finite time. The proposed FTPO observer, using two Identity Luenberger observers and based on the impulsive framework, estimates exactly the state variables of positive systems in a predetermined time interval. Furthermore, sufficient conditions are given in terms of linear matrix inequalities (LMIs) to guarantee the L2-gain performance of the estimation error. Finally, the performance and robustness of the proposed FTPO are validated using numerical simulations.

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Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

Gao

Xia

Zhuang

2018

Int. J. Control Autom. Syst.

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Positive observer design for linear impulsive positive systems with interval uncertainties and time delay

Cited by 8 publications

References 28 publications

Non‐fragile dynamic output‐feedback control for ‐gain performance of positive FM‐II model with PDT switching: An event‐triggered mechanism

Non‐fragile dynamic output‐feedback control for ‐gain performance of positive FM‐II model with PDT switching: An event‐triggered mechanism

Impulsive finite-time observer design for uncertain positive linear systems with L2-gain analysis

Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

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