Central Suboptimal H∞ Controller Design for Linear Systems with Unknown Parameters

Abstract

This paper presents the central finite-dimensional H_∞ controller for linear systems with unknown parameters, that is suboptimal for a given threshold γ with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the paper reduces the original H_∞ controller problem to the corresponding H₂ controller problem, using the technique proposed in [1]. The paper yields the central suboptimal H_∞ controller for linear systems with unknown parameters in a closed finite-dimensional form, based on the corresponding H₂ controller obtained in [16]. Numerical simulations are conducted to verify performance of the designed central suboptimal controller for uncertain linear systems with unknown parameters against the conventional central suboptimal H_∞ controller for linear systems with exactly known parameter values.