Suucient Conditions for Self-scheduled Bounded Amplitude Control Interdisciplinary Studies of Intelligent Systems 1 Suucient Conditions for Self-scheduled Bounded Amplitude Control

This paper considers the problem of synthesizing a parameter-dependent output feedback controller for continuous-time linear parameter varying (LPV) systems so that a prespeciied bound on signal amplitude is satissed by the controlled system. The main result of the paper is a suucient condition for the existence of an LPV controller which guarantees an upper bound on the induced-L1 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 parameterized 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 suucient LTI synthesis conditions for bounded amplitude performance. The existence conditions are amenable to eecient numerical techniques.