Guaranteed Estimates, Adaptation and Robustness in Control Systems

The book is concerned with the problems of dynamic systems
control in         conditions of uncertainty caused by the lack of
adequate a priori data on   control objects' properties. Its
special feature is the use of a priori      estimates of indeter-
mined quantities on the form of sets. A unique method of ad-
aptive control systems construction is described. A                           con-
structional algorithm for solving parametric                                       identification
problems is suggested which allows guaranteed estimate to      be
received in the form of some set. The application of game
approach tothe statement and solution of control synthesis
problems under the               conditions of uncertainty has allowed to
reduce the problem to the minimax   one. The appearance of
further unimprovable estimates causes the necessity   to refu-
se the use of adaptive control and to turn to the                           robust
control. Because of this, much attention is being given to
the   problem of the robust stability and synthesis of robust
control. The book isintended for specialists concerend with
the investigation and design of      control systems who have
knowledge in mathematics within the courses for      high
technical schools.