The design of optimal linear control systems with output feedback
type: Item
instance of: scholarly article
title: The design of optimal linear control systems with output feedback
zbMATH Open document ID: 0964.93035
author: P. V. Nadezhdin
published in: Doklady Mathematics
publication date: 2001-02-13T00:00:00Z
review text: The paper deals with a stationary, completely controllable, and observable linear closed system which consist of a plant and a controller that processes the output of the plant. The performance of this system is characterized by a quadratic functional with respect to the states of the plant and of the controller. A necessary and sufficient minimum condition for a functional on the motions of the system is obtained in the complex (frequency) domain. This relation implies that the sensitivity function of an optimal system satisfies the Bode condition. A second form of the optimality relation is derived in order to find the coefficients of the controller.
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 49N35
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C80
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 1564329
zbMATH Keywords: performance
zbMATH Keywords: optimal control
zbMATH Keywords: linear system
zbMATH Keywords: frequency domain
zbMATH Keywords: sensitivity
zbMATH Keywords: Bode condition
reviewed by: Ernst G. Al'brekht
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1564329