Robust generalized asymptotic regulation against non-stationary sinusoidal disturbances

Abstract— Attenuation of sinusoidal disturbances with uncertain and arbitrarily time-varying frequencies is considered in the form of a generalized asymptotic regulation problem. The disturbances are modeled as the outputs of a parameter-dependent unexcited exogenous system that evolves from nonzero initial conditions. The parameter dependence is assumed to be in such a form that the state of the exogenous system has constant norm at all times. Considering a partially parameter-dependent system, the problem is then formulated as the synthesis of a linear time-invariant controller with which the closed-loop respects a desired level of attenuation profile in steady-state and exhibits sufficiently fast transient response for all admissible parameter variations. The main result of the paper is a synthesis procedure based on a convex optimization problem, which is identified by a set of parameterdependent linear matrix inequalities and can be rendered tractable through standard relaxat...

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Hakan Köroglu, Carsten W. Scherer
• Keywords: Asymptotic Regulation Problem, CDC 2008, Control Systems, Exogenous, Nonzero Initial Conditions