Optimal H₂ output-feedback control of sampled-data systems

ABSTRACT

This paper addresses the output feedback control design problem with limited data-rate constraints. These communication constraints may affect the transmission of control signals or measurements, giving rise to different models, depending on the interconnection architecture. The closed-loop system composed by plant and controller can be modelled as a Hybrid System whose stability and ${\mathcal{H}}_2$ performance can be determined in terms of necessary and sufficient Linear Matrix Inequalities. However, for the design of the appropriate feedback gains, those conditions become non-convex and we propose an approach to obtain satisfactory solutions. Numerical examples are included.

KEYWORDS:

• Sampled-data systems
• hybrid systems
• cone complementarity linearisation
• dynamic output-feedback control

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP/Brazil) grant 2016/19504-7 and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq/Brazil) grants 305600/2017-6 and 306259/2015-0.