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

Autor(es)

Daiha, Helder R. ^[1] ; Deaecto, Grace S. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, DMC Sch Mech Engn, BR-13083860 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: International Journal of Control; v. 94, n. 6, p. 1484-1491, JUN 3 2021.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 17/20343-0 - Sistemas de controle com comutação: novas perspectivas teóricas e aplicações práticas
• Beneficiário: Grace Silva Deaecto
• Modalidade de apoio: Auxílio à Pesquisa - Regular