Title :
Optimal control of oscillations in distributed systems with uncertainty
Author :
Balandin, Dmitry V.
Author_Institution :
Res. Inst. for Appl. Math. & Cybern., Nizhny Novgorod, Russia
Abstract :
The problems of the optimal control of the oscillations of an elastic body due to perturbations of a certain class are considered. Two types of problems are investigated: the limiting possibilities of control and the minimum of the guaranteed result. It is shown that the guaranteed result has a lower limit given by the solution of the problem of the limiting possibilities of the control. Methods of solving these problems are proposed and examples of calculations for a specific elastic system are given
Keywords :
distributed parameter systems; flexible structures; initial value problems; optimal control; uncertain systems; vibration control; distributed systems; elastic body; initial boundary value problem; optimal control; oscillation control; perturbations; uncertainty systems; Control system analysis; Control systems; Cybernetics; Damping; Displacement control; Force control; Mathematics; Optimal control; Uncertainty; Vectors;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633460