Methods and models to design mobile controls on surface.

*(English)*Zbl 0792.93064
Li, Xunjing (ed.) et al., Control theory of distributed parameter systems and applications. Proceedings of the IFIP WG 7.2 working conference, Shanghai, China, May 6-9, 1990. Berlin: Springer-Verlag. Lect. Notes Control Inf. Sci. 159, 1-13 (1991).

Summary: The objects with a mobile heat source which periodically varies its position along an assigned trajectory on an object surface are considered. The object state is described by two-dimensional heat transfer equation. The problem to obtain and maintain an object state closed to the assigned one is stated. Two types of models are used to solve the problem. These are stationary models with distributed control and nonstationary ones in which heat source movement is taken into account. The calculation method of controls making use of above two types of models is developed. The paper contains the calculation examples of the source movement laws along the linewise object surface trajectories, power of the mobile source, dynamics of temperature field and grafical result representations.

For the entire collection see [Zbl 0779.00019].

For the entire collection see [Zbl 0779.00019].

##### MSC:

93C20 | Control/observation systems governed by partial differential equations |