Sufficient conditions for self-scheduled bounded amplitude control

This paper considers the problem of synthesizing a parameter-dependent output feedback controller for a continuous-time linear parameter varying (LPV) systems so that a prespecified bound on signal amplitude is satisfied by the controlled system. The main result is a sufficient condition for the existence of an LPV controller which guarantees an upper bound on the induced-L_∞ norm of the controlled system. The condition takes the form of linear matrix inequalities (LMIs) which must be solved pointwise over a parameter set. A set of LPV controllers which satisfy the performance constraints are parametrized in terms of feasible solutions to the LMI existence conditions. In the event that the parameter variations are removed, the conditions reduce to necessary and sufficient LTI synthesis conditions for bounded amplitude performance. The existence conditions are amenable to efficient numerical techniques