State-space formulas for gain-scheduled /spl lscr//sub 1/-optimal controller

Design of gain-scheduled controllers has attracted wide attention in /spl Hscr//sub /spl infin// control. Within the framework of /spl lscr//sub 1/-optimal control, a novel method for gain-scheduled output-feedback control has been proposed recently using a special control structure. This paper extends this method to more general linear parameter-varying systems. Furthermore an explicit way of constructing the resulting gain-scheduled controllers is derived, and conditions for their existence are given. Finally, state-space formulas for these controllers are introduced. These formulas significantly facilitate an implementation and result in a relatively low complexity of the controller's parameter dependence.