Regularized extremal shift in problems of stable control

We discuss a technical approach, based on the method of regularized extremal shift (RES), intended to help solve problems of stable control of uncertain dynamical systems. Our goal is to demonstrate the essence and abilities of the RES technique; for this purpose we construct feedback controller for approximate tracking a prescribed trajectory of an inaccurately observed system described by a parabolic equation. The controller is "resource-saving" in a sense that control resource spent for approximate tracking do not exceed those needed for tracking in an "ideal" situation where the current values of the input disturbance are fully observable. © 2013 IFIP International Federation for Information Processing.German Sci. Found. (DFG) Eur. Sci. Found. (ESF);Natl. Inst. Res. Comput. Sci. Control France (INRIA);DFG Research Center MATHEON;Weierstrass Institute for Applied Analysis and Stochastics (WIAS);European Patent Offic

Program Packages Method for Solution of a Linear Terminal Control Problem with Incomplete Information

Closed-loop terminal control problem for the controlled linear dynamical system is considered in case of incomplete information about the actual initial state of this system. It is assumed, though, that the finite set containing the actual initial state is known. The program packages method is applied for obtaining solution of the problem. The package terminal problem is formulated and is proven to be equivalent to the closed-loop terminal control problem. The package terminal problem is further reduced to a finite-dimensional open-loop terminal control problem which can be solved using a numerical algorithm. Such an algorithm is provided in detail and applied to an illustrative example