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An SFDI observer-based scheme for a general aviation aircraft

Marco Ariola, Massimiliano Mattei, Immacolata Notaro, Federico Corraro, Adolfo Sollazzo (2015)

International Journal of Applied Mathematics and Computer Science

The problem of detecting and isolating sensor faults (sensor fault detection and isolation-SFDI) on a general aviation aircraft, in the presence of external disturbances, is considered. The proposed approach consists of an extended Kalman observer applied to an augmented aircraft plant, where some integrators are added to the output variables subject to faults. The output of the integrators should be ideally zero in the absence of model uncertainties, external disturbances and sensor faults. A threshold-based...

Analyse régionale des systèmes distribués

A. El Jai (2002)

ESAIM: Control, Optimisation and Calculus of Variations

Le but de cet article est de montrer l’état de l’art dans l’analyse des systèmes distribués lorsque l’on examine certains concepts à partir de considérations régionales. Autrement dit, à partir de la donnée d’un système dynamique défini sur un domaine Ω , on ne s’intéresse à sa contrôlabilité, à son observabilité, à sa stabilité, ... que sur une région privilégiée ω , ω ⊂ Ω . Partant de concepts classiques, on développe leur adaptation au cas régional. On développe ensuite des concepts régionaux propres...

Analyse régionale des systèmes distribués

A. El Jai (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Le but de cet article est de montrer l'état de l'art dans l'analyse des systèmes distribués lorsque l'on examine certains concepts à partir de considérations régionales. Autrement dit, à partir de la donnée d'un système dynamique défini sur un domaine Ω, on ne s'intéresse à sa contrôlabilité, à son observabilité, à sa stabilité, ... que sur une région privilégiée ω, ω ⊂ Ω . Partant de concepts classiques, on développe leur adaptation au cas régional. On développe ensuite des concepts régionaux...

Analysis of some dual properties in discrete dynamic systems

Aleksey Zhirabok (2006)

International Journal of Applied Mathematics and Computer Science

The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.

Analytic controllability of the wave equation over a cylinder

Brice Allibert (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We analyze the controllability of the wave equation on a cylinder when the control acts on the boundary, that does not satisfy the classical geometric control condition. We obtain precise estimates on the analyticity of reachable functions. As the control time increases, the degree of analyticity that is required for a function to be reachable decreases as an inverse power of time. We conclude that any analytic function can be reached if that control time is large enough. In the C∞ class, a...

Application of a second order VSC to nonlinear systems in multi-input parametric-pure-feedback form

Antonella Ferrara, Luisa Giacomini (2000)

Kybernetika

The use of a multi-input control design procedure for uncertain nonlinear systems expressible in multi-input parametric-pure feedback form to determine the control law for a class of mechanical systems is described in this paper. The proposed procedure, based on the well-known backstepping design technique, relies on the possibility of extending to multi-input uncertain systems a second order sliding mode control approach recently developed, thus reducing the computational load, as well as increasing...

Application of bearing and distance trees to the identification of landmarks on the coast

Tomasz Praczyk (2007)

International Journal of Applied Mathematics and Computer Science

The problem of continuous position availability is one of the most important issues connected with the human activity at sea. Because the availability of satellite navigational systems can be limited in some cases, e.g. during military operations, one has to consider additional methods of acquiring information about the ship's position. In this paper one of these methods is presented, which is based on exploiting landmarks located on a coastline. A navigational radar is used to obtain information...

Applications of regime-switching models based on aggregation operators

Jozef Komorník, Magda Komorníková (2007)

Kybernetika

A synthesis of recent development of regime-switching models based on aggregation operators is presented. It comprises procedures for model specification and identification, parameter estimation and model adequacy testing. Constructions of models for real life data from hydrology and finance are presented.

Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls

Alexander Khapalov (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We consider the one dimensional semilinear reaction-diffusion equation, governed in Ω = (0,1) by controls, supported on any subinterval of (0, 1), which are the functions of time only. Using an asymptotic approach that we have previously introduced in [9], we show that such a system is approximately controllable at any time in both L2(0,1)( and C0[0,1], provided the nonlinear term f = f(x,t, u) grows at infinity no faster than certain power of log |u|. The latter depends on the regularity...

Approximate controllability by birth control for a nonlinear population dynamics model

Otared Kavian, Oumar Traoré (2011)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we analyse an approximate controllability result for a nonlinear population dynamics model. In this model the birth term is nonlocal and describes the recruitment process in newborn individuals population, and the control acts on a small open set of the domain and corresponds to an elimination or a supply of newborn individuals. In our proof we use a unique continuation property for the solution of the heat equation and the Kakutani-Fan-Glicksberg fixed point theorem.

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