Synthesis of Oscillating Adaptive Systems.
COLORADO UNIV BOULDER SYSTEMS ENGINEERING LAB
Pagination or Media Count:
Oscillating adaptive systems are non-linear feedback systems in which there circulates in the feedback loop or loops, a signal whose frequency components are large relative to the bandwidths of the control command and disturbance signal components. Under certain conditions the system response to these control components is quasi-linear, permitting linear analysis accurate within stringent engineering tolerances. The system response to these control inputs can also then have zero sensitivity to the linear time-invariant plant high-frequency gain factor. If a linear time-invariant feedback system is designed to cope with such plants, the uncertainty in this gain factor, if very large, can lead to enormous, possibly impractical, loop bandwidths. Hence, the zero sensitivity property of the oscillating system makes them very attractive as adaptive systems. The quasi-linearity conditions permit the development of quantitative frequency-response synthesis techniques, whereby one may proceed from a statement of quantitative performance specifications and plant uncertainty bounds, step by step towards an optimum design. One significant result is that the gain factor uncertainty, inherently banished as a direct adaptive problem by the oscillating condition, reappears in different forms as a significant design constraint. Author
- Numerical Mathematics