IDENTIFICATION OF A CLASS OF DYNAMICS UNDER PERSPECTIVE OBSERVATION
Xinkai Chen* and Hiroyuki Kano**
* Department of Intelligent Mechanics, Kinki University, Naga-gun, Wakayama 649-6493, Japan
** Department of Information Sciences, Tokyo Denki University, Hiki-gun, Saitama 350-0394, Japan

The identification problem for a class of movements in the space by using the perspective observation, where the parameters are all time-varying, is considered in this paper. The motion equation can cover a wide class of practical movements in the space. The estimation of the position and the motion parameter are simultaneously developed in the proposed algorithm. The formulated problem can be converted into the observation of a dynamical system with nonlinearities. First, the parameters relating to the rotation of the motion are identified, where only one camera is needed. Then the position of the moving object is identified, where the stereo vision is necessary. In the third step, the parameters relating to the straight movement are identified. The assumptions about the perspective system are reasonable, and the convergence conditions are intuitive and have apparently physical interpretations. The attraction of the new method lies in that the algorithm is very simple, easy to be implemented practically, and robust to measurement noises. Further, the proposed method requires minor a priori knowledge about the system and can cope with a much more general class of perspective systems.
Keywords: Nonlinear observer; Perspective observation; Identification of non-linear system; Discontinuous observer; Sliding mode method
Session slot T-Th-M21: Posters of Design Methods and Optimal Control/Area code 2d : Optimal Control

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