A Two-Step Adaptive Strategy for Simple Time-Varying Systems

In recent years, the need for controlling an unknown plant arises in various fields like aircraft, automotive, and manufacturing industries in order to provide quicker and more accurate response in the presence of parametric uncertainties. Classical adaptive control may not as yet be able to give the desired results when the plant is unknown with time-varying parameters. In such a scenario, it is quite likely that the response of the plant grow unbounded. Moreover, adaptive control leads to better transient response only when the estimates of the plant parameters are reasonably close to that of the actual values. In this paper, we propose a two-step adaptive strategy that helps to quickly converge into that compact region wherein the plant parameters reside. Further, we demonstrate that our proposed method provides partial answers to the adaptive control of linear time-varying plants.