IEEE Transactions on Automatic Control, Vol.44, No.4, 742-750, 1999
A switching adaptive controller for feedback linearizable systems
One of the main open problems in the area of adaptive control of linear-in-the-parameters feedback linearizable systems is the computation of the feedback control law when the identification model becomes uncontrollable. In this paper, the authors propose a switching adaptive control strategy that overcomes this problem, The proposed strategy is applied to,,th-order feedback linearizable systems in canonical form. The closed-loop system is proved to he globally stable in the sense that all the closed-loop signals are bounded and the tracking error converges arbitrarily close to zero. No assumptions art made about the type of nonlinearities of the system, except that such nonlinearities are smooth. However, the proposed controller requires knowledge of the sign and lower bound of the input vector field.
Keywords:NONLINEAR-SYSTEMS;DESIGN