title: Adaptive stabilization of undamped flexible structures
abstract: In the paper non-identifier-based adaptive stabilization of undamped flexible structures is considered in the case of collocated input and output operators. The systems have poles and zeros on the imaginary axis. In the case where velocity feedback is available, the adaptive stabilizer is constructed by an adaptive PD-controller (proportional plus derivative controller). In the case where only position feedback is available, the adaptive stabilizer is constructed by an adaptive P-controller for the augmented system which consists of the controlled system and a parallel compensator. Numerical examples are given to illustrate the effectiveness of the proposed controllers
keyphrases: adaptive stabilization undamped flexible structures poles and zeros imaginary axis velocity feedback adaptive PD-controller proportional plus derivative controller position feedback adaptive P-controller augmented system parallel compensator