H∞ Control of Multirate Sampled-Data Systems

Autor:	Bengt Lennartson, Hannu T. Toivonen, Mats F. Sågfors
Rok vydání:	1998
Předmět:	Matrix (mathematics) Discretization Exponential stability Control and Systems Engineering Control theory Riccati equation State space Linear-quadratic regulator Electrical and Electronic Engineering Optimal control Mathematics
Zdroj:	Automatica. 34:415-428
ISSN:	0005-1098
DOI:	10.1016/s0005-1098(97)00236-7
Popis:	A state-space solution of the H∞ control problem for periodic multirate sampled-data systems is presented. The solution is characterized in terms of a pair of discrete algebraic Riccati equations with a set of associated matrix positive-definiteness conditions and coupling criteria. The solution is derived using two different approaches. In the first approach, the solution is obtained by discretizing two coupled periodic Riccati equations with jumps which characterize the H∞-optimal controller. The second approach is based on the lifting technique. The H∞-optimal controller for a lifted representation of the multirate system is characterized by a two-Riccati equation solution, in which the so-called causality constraint is represented by a set of positive-definiteness conditions and coupling criteria.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::34b36c35f062fe90a978ce5092379ada https://doi.org/10.1016/s0005-1098(97)00236-7 Zobrazit plný text záznamu Full Text from ScienceDirect