Open AccessDigital control and sampling period assignment of multiple plants in networked control systems
Author(s) -
Tognetti Eduardo S.,
Calliero Taís R.
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0151
Subject(s) - control theory (sociology) , networked control system , gain scheduling , sampling (signal processing) , discretization , scheduling (production processes) , computer science , mathematical optimization , linear system , linear matrix inequality , telecommunications network , digital control , controller (irrigation) , control system , mathematics , control (management) , engineering , mathematical analysis , telecommunications , agronomy , filter (signal processing) , artificial intelligence , electrical engineering , computer vision , biology
This study investigates the problem of sampling period assignment and design of digital state feedback controllers for systems subject to time‐varying sampling periods and uncertain delays. The system is controlled through a communication network, where the sampling period and the network‐induced delay are bounded in a known interval. The sampled system is described by a linear parameter‐varying discrete‐time model obtained by means of the Cayley–Hamilton theorem. The proposed discretisation procedure improves the current approaches in the literature and allows the design of controllers that are robust to the delay and depending on the sampling period defined by a scheduling policy in a scenario with concurrent access to the communication network by multiple plants. The gain‐scheduled linear quadratic controller is designed by means of linear matrix inequalities. The policy to access the network is dynamic and formulated as an optimisation problem. Numerical experiments illustrate the efficiency and the validity of the proposed approach.