Dynamical robust H∞ filtering for nonlinear uncertain systems: An LMI approach

Abbaszadeh, Masoud; Marquez, Horacio J.

doi:10.1016/j.jfranklin.2010.05.016

Cited by 44 publications

(42 citation statements)

References 25 publications

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“…• Maximizing l to enlarge the operation region, following the idea proposed in [11] • Maximization of β which is related to reduction of data transmission This leads to a multi-objective optimization problem in which the optimal point is a trade-off between two optimality criteria. Theorem 2: Consider the Lipschitz nonlinear event-based system (15) with the triggering condition (18).…”

Section: Controller and Event Generator Design Via Multi-objectivementioning

confidence: 99%

Event-based controller design for a class of nolinear systems via convex optimization

Mousavi

Marquez

2014

53rd IEEE Conference on Decision and Control

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In this paper, an event-based controller design scheme is proposed for a class of Lipschitz nonlinear systems. Using a delay system approach, the event-based system is modelled in a continuous time form. Then, the controller and event generator design methodology is formulated as a convex multiobjective optimization problem with LMI constraints, where the admissible Lipschitz constant of the system is maximized and data communication between plant and controller is minimized simultaneously. Finally, the proposed system is evaluated via simulations.

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Section: Controller and Event Generator Design Via Multi-objectivementioning

confidence: 99%

Event-based controller design for a class of nolinear systems via convex optimization

Mousavi

Marquez

2014

53rd IEEE Conference on Decision and Control

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“…Therefore the study on timedelay systems is thus of great significance both in theory and in practice. Many results have been reported for stability analysis [5,6,7] and for controller/filter design [8][9][10][11][12] in the literature.…”

Section: Introductionmentioning

confidence: 99%

Robust H<inf>∞</inf> filter design for neutral systems with nonlinear perturbations

Wang

Luo

Guan

et al. 2014

Proceeding of the 11th World Congress on Intelligent Control and Automation

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This paper is concerned with the H ∞ filtering problem for the neutral time-varying systems with nonlinear perturbations. The purpose is to design a full order linear filter such that the error system is asymptotically stable and a prescribed H ∞ performance is satisfied. We utilize the delay decomposition idea and a novel inequality to solve the robust H ∞ filtering problem. Some new delay-dependent sufficient conditions are obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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“…In recent years, H ∞ filtering theory for linear singular systems with time delay has made substantive achievements. [5][6][7][8][9][10]13,15,16 Reduced-order H ∞ filtering problem for linear uncertain singular systems with time delay was considered. [5][6][7] Full-order H ∞ filtering problem for linear singular systems was investigated.…”

Section: Introductionmentioning

confidence: 99%

ROBUST H_∞ FILTERING FOR A CLASS OF NONLINEAR UNCERTAIN SINGULAR SYSTEMS WITH TIME-VARYING DELAY

Qiu

Zhang

et al. 2013

Int. J. Wavelets Multiresolut Inf. Process.

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This paper focuses on the problem of robust H∞ filtering for a class of nonlinear uncertain singular systems with time-varying delay. First of all, the definition of robust H∞ filter is given. Considering the nonlinear disturbance link to uncertain singular systems with time-varying delay effects, the design idea of full-order robust H∞ filter based on the Lyapunov stability theory is presented. Under the condition that nonlinear uncertain functions satisfy Lipschitz condition, the sufficient condition under which nonlinear uncertain delayed filtering error singular systems are asymptotically stable and satisfy 1350035-1 Int. J. Wavelets Multiresolut Inf. Process. 2013.11. Downloaded from www.worldscientific.com by UNIVERSITY OF TOKYO on 06/05/15. For personal use only. J. Qiu et al. the robust H∞ performance is obtained by Lyapunov stability theory and linear matrix inequality (LMI) methods. Finally, two numerical examples are given to show the applicability of the proposed method.

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Dynamical robust H∞ filtering for nonlinear uncertain systems: An LMI approach

Cited by 44 publications

References 25 publications

Event-based controller design for a class of nolinear systems via convex optimization

Event-based controller design for a class of nolinear systems via convex optimization

Robust H<inf>∞</inf> filter design for neutral systems with nonlinear perturbations

ROBUST H_∞ FILTERING FOR A CLASS OF NONLINEAR UNCERTAIN SINGULAR SYSTEMS WITH TIME-VARYING DELAY

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Dynamical robust H∞ filtering for nonlinear uncertain systems: An LMI approach

Cited by 44 publications

References 25 publications

Event-based controller design for a class of nolinear systems via convex optimization

Event-based controller design for a class of nolinear systems via convex optimization

Robust H<inf>&#x221E;</inf> filter design for neutral systems with nonlinear perturbations

ROBUST H∞ FILTERING FOR A CLASS OF NONLINEAR UNCERTAIN SINGULAR SYSTEMS WITH TIME-VARYING DELAY

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Robust H<inf>∞</inf> filter design for neutral systems with nonlinear perturbations

ROBUST H_∞ FILTERING FOR A CLASS OF NONLINEAR UNCERTAIN SINGULAR SYSTEMS WITH TIME-VARYING DELAY