On LMI-based algorithm for strictly positive real systems with static output feedback

Author(s)

Teixeira, Marcelo C. M. ; Covacic, Marcio R. ; Gaino, Ruberlei ; Assuncao, Edvaldo ; Cardim, Rodrigo ; Lazarini, Adalberto Z. N. ; IEEE

• Document type: Journal article
• Source: 2022 16TH INTERNATIONAL WORKSHOP ON VARIABLE STRUCTURE SYSTEMS (VSS); v. N/A, p. 7-pg., 2022-01-01.

Abstract

This paper presents a new theoretical analyses and a condition regarding to an algorithm, based on Linear Matrix Inequalities (LMIs), for finding a constant output feedback matrix K-o and a constant output tandem matrix F such that the controlled system {A-BKoC,B,FC} is Strictly Positive Real (SPR). The number of output variables of the plant {A, B, C} is supposed to be greater than or equal to the number of its input variables. The main result offers a more general necessary condition to specify the matrix F that can offer a solution for this problem, that works when a known condition holds and also in some cases where this known solution does not hold. A numerical example illustrates the effectiveness of this procedure and its application in the design of output variable structure controllers. (AU)

• FAPESP's process: 11/17610-0 - Monitoring and control of dynamic systems subject to faults
• Grantee: Roberto Kawakami Harrop Galvão
• Support Opportunities: Research Projects - Thematic Grants