Title :
Bounded distributed controls in elastic systems
Author :
Chernousko, Felix L.
Author_Institution :
Inst. of Problems in Mech., Acad. of Sci., Moscow, Russia
Abstract :
Linear elastic systems controlled by bounded distributed forces are considered. We propose a method of control based on decomposing the original system into an infinite number of subsystems with one degree of freedom each. After that, we apply the time-optimal control to each mode of oscillations. As a result, we present explicit formulae for the distributed control and upper estimates on the time of the control process. Sufficient controllability conditions are also obtained. Examples are presented
Keywords :
bang-bang control; boundary-value problems; control system synthesis; controllability; distributed control; eigenvalues and eigenfunctions; flexible structures; time optimal control; vibration control; bang bang control; boundary value problem; bounded distributed control; controllability; eigenvalues; elastic systems; initial value problem; linear systems; oscillations; time-optimal control; vibration control; Boundary conditions; Control systems; Controllability; Distributed control; Eigenvalues and eigenfunctions; Force control; Laplace equations; Partial differential equations; Process control; 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.1997.633458
