Section: Application Domains

Application domains

Unlike the traditional methods, the estimators we defined are "non-asymptotic": solutions are provided by an explicit formulae. They result in relatively simple and fast algorithms. In this sense, rather than being a project linked to a specific domain of application, we can say that the project Non-A is method-driven. However, one must not forget that applicability remains a guideline in all our researches. As it has been noted, estimation is a huge area, which touches a variety of possible application fields, which our new methods address. Figure 3 illustrates the connections between our techniques and the possible applications.

Figure 3. Non-A is a method-driven project, centered around non-asymptotic estimation techniques (i.e., providing estimates in finite-time), and connected to applications.

During these few years, our techniques have already generated 3 patents [98] , [100] , [99] . It shows their efficiency in various industrial domains, including (see the previous reports):

• Vehicle control (engine throttle [112] , lateral and longitudinal velocities [96] , stop-and-go [131] , tire/road contact condition [134] ) with PSA, APEDGE, Mines-ParisTech, Inria IMARA, Universidad Carlos III (Madrid), Université Paris Sud, spark ignition engine control with GM [28] ;

• Hydroelectric power plants [111] , [110] with EDF-CIH (patent pending FR0858532);

• Shape memory actuators [107] with Université de Bretagne Occidentale and ANR MAFESMA;

• Magnetic actuators with Univ. des Saarlandes;

• Power Electronics [121] with Univ. du Québec à Trois-Rivières;

• Aircraft identification [130] with ONERA DCSD;

• Secured communications (chaos-based cryptography [128] , [136] , [135] , CPM demodulation [122] ) with CINVESTAV Mexico, Math.Dept. Tlemcen Univ. Algeria and PRISME ENSI-Bourges.

• Image and video processing (denoising [102] , edge detection [113] ) with Inria QGAR, compression [103] , compressive sensing [132] , [133] with CINVESTAV Mexico and Whuan Univ., China;

• Financial engineering [97] with MEREOR Investment Management and Advisory SAS;

• Neural signal processing [35] , [83] ;

• Stabilization of a ball & beam system through saturated control [91] , [81]

• Control of a new class of power converters [48] , [49] ;

• Power management of a hydrogen fuel cell system combined with super capacitors [69] ;

• Sensorless parameter identification for permanent magnet stepper motors [60] , [58] , [59] ;

• A flexible robot joint control [78] ;

• Localization of mobile robots [82] ;

• Teleoperation [46] , [44] , [45] ;

• Oscillatory failure case (OFC) detection for aircraft [38] .