ℋ2 and ℋ∞ analysis and state feedback control design for discrete-time constrained switched linear systems

This paper presents the stability and performance conditions for discrete-time constrained switched linear systems under arbitrary switching. Design methods for such systems, which constrain the set of admissible switching sequences to attain stability and a desired performance level, are also presented. The key procedures presented in this paper are based on classic convex optimisation and graph theory results. Simulations and numerical examples are included to illustrate the main features of the developed theory112CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP305600/2017-62016/19504-7;2018/04905- 1This work was in part supported by Science Foundation Ireland (SFI) [grant number 16/IA/4610]; Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP/Brazil) [grant numbers 2016/19504-7 and 2018/04905- 1]; Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq/Brazil) [grant number 305600/2017-