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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Script capital H-2 static output feedback switching function design based on a time-varying Lyapunov function approach

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Author(s):
Daiha, Helder R. [1] ; Deaecto, Grace S. [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, DMC Sch Mech Engn, BR-13083860 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: International Journal of Control; v. 94, n. 6, p. 1484-1491, JUN 3 2021.
Web of Science Citations: 1
Abstract

This paper treats the control design of an output-dependent switching function for discrete-time switched linear systems, without considering the synthesis of any additional dynamic structure. The conditions are based on a convex, but time-varying, Lyapunov function and are expressed in terms of Linear Matrix Inequalities (LMIs). The state feedback switching function design can be obtained as a particular case and is simpler to handle from theoretical and numerical viewpoints compared to other methods available in the literature, as for instance, those based on Lyapunov-Metzler inequalities. The novelty of the proposed control methodology is the adoption of a time-varying Lyapunov function, which together with the presence of a key matrix, allow us to treat the static output feedback control design, taking into account a guaranteed performance cost. Academic examples are used for comparison and illustration. The proposed control technique is experimentally validated in an active suspension system representing a quarter-vehicle. (AU)

FAPESP's process: 17/20343-0 - Switched control systems: new theoretical perspectives and practical applications
Grantee:Grace Silva Deaecto
Support Opportunities: Regular Research Grants