Abstract
This paper proposes the gain-scheduled inverse system and its design method. The inverse property of this system is characterized with a weight function and the induced L2 norm. As for design methods, the usual dynamic gain-scheduled controller has derivatives of parameters or the existence condition is formulated with BMIs owing to a parameter-dependent Lyapunov function. But with the proposed method, the gain-scheduled inverse system does not have derivatives of parameters and the existence condition is formulated with LMIs despite using a parameter-dependent Lyapunov function. So the proposed design method makes a realistic gain-scheduled inverse system with ease.
