Adaptive control system optimization for vibration control of flexible structures

Recent results in the development of optimal design of direct model reference adaptive controllers are summarized. Two methods have been developed: one employs an analytic averaging technique for solving a constrained nonlinear optimization problem yielding a close-form solution; the other uses a numerical optimization approach with high-level learning capability. These two approaches are outlined. A mathematical model of a flexible structure experiment facility was employed for testing the two design approaches. Numerical results are discussed and comparative analysis is performed to show the merit of these methods