A Unified Approach to Discrete and Continuous High-gain Adaptive Controllers Using Time Scales*
نویسندگان
چکیده
It has been known for some time that proportional output feedback will stabilize certain classes of linear time-invariant systems under an adaptation mechanism that drives the feedback gain sufficiently high. More recently, it was demonstrated that discrete implementations of the high-gain adaptive controller also require adaptation of the sampling rate. In this paper, we use recent advances in the mathematical field of dynamic equations on time scales to unify the discrete and continuous versions of the high-gain adaptive controller. A novel proof method is presented based on time scales, as is a brief tutorial on the subject of time scales.
منابع مشابه
ar X iv : 0 90 1 . 38 73 v 1 [ m at h . O C ] 2 5 Ja n 20 09 A Unified Approach to High - Gain Adaptive Controllers ∗
It has been known for some time that proportional output feedback will stabilize MIMO, minimum-phase, linear time-invariant systems if the feedback gain is sufficiently large. High-gain adaptive controllers achieve stability by automatically driving up the feedback gain monotonically. More recently, it was demonstrated that sample-and-hold implementations of the high-gain adaptive controller al...
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