Adaptive control for a class of high‐order switched nonlinearly parameterized systems

The problem of adaptive stabilization is studied for a class of high‐order switched nonlinearly parameterized systems; none of subsystems is assumed to be adaptively stabilizable. By exploiting the multiple Lyapunov functions method and the adding a power integrator technique, a switched adaptive control technique is set up. Meanwhile, in order to reduce the conservativeness caused by adoption of a common update law for all subsystems, different update laws of individual subsystems are designed. Also, we simultaneously construct a switching law and adaptive state‐feedback controllers of subsystems to achieve global stability in the sense of Lyapunov of the closed‐loop system and global asymptotic regulation of the system states. Two examples are provided to demonstrate the effectiveness of the proposed design method. Copyright © 2016 John Wiley & Sons, Ltd.