ADAPTIVE-CONTROL VIA A SIMPLE SWITCHING ALGORITHM

In this paper we present an adaptive stabilization control for systems with unknown constant parameters and stochastic disturbances, which m ay be neither open-loop stable nor minimum phase. The ideas come from previous works [J. F. Zhang and H. F. Chen, Adaptive stabilization und er the weakest condition, Proc. 31st Control and Design Conference, De cember 14-18, 1992, pp. 3620-3621, and H. F. Chen, Continuous-Time Sto chastic Adaptive Control Stabilizing the System and Minimizing the Qua dratic Loss Function, Tech. Report, Institute of Systems Science, Acad emia Sinica, Beijing, 1992], but here we not only simplify the constru ction procedure of an adaptive control but also reduce the computation al load significantly, so that the adaptive control in this paper is m ore practical. Furthermore, parameter estimation is carried out in onl y a finite time period and, unlike previous work, the parameter estima tes are generated by ordinary differential equations rather than stoch astic differential equations.