Robust Guaranteed Cost Switched Controller Design using Static Output Feedback

• Published in: Journal of control, automation & electrical systems Vol. 33; no. 1; pp. 115 - 128
• Main Authors: Bocca, Lucas Favi, Ramos, Igor Thiago Minari, Alves, Uiliam Nelson Lendzion Tomaz, Bizarro, Douglas Buytendorp, Assunção, Edvaldo, Teixeira, Marcelo Carvalho Minhoto
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-02-2022; Springer Nature B.V
• Subjects: Control; Control and Systems Theory; Control systems design; Controllers; Electrical Engineering; Engineering; Evolutionary algorithms; Evolutionary computation; Feedback control; Initial conditions; Mechatronics; Output feedback; Parameters; Robotics; Robotics and Automation; Robust control; Static electricity; Suspension systems; Differential evolution; Guaranteed cost; Switched static output feedback; Linear matrix inequalities
• ISSN: 2195-3880; 2195-3899
• DOI: 10.1007/s40313-021-00812-y

In this work, a robust switched controller design using output feedback is proposed. The minimization of the output energy is taken into account as a design strategy to reduce the settling time and oscillations of the closed-loop system output. In the design of the controllers, physical limits of the system outputs are also covered, which is done by considering a convex set of initial conditions. Sufficient LMI conditions to solve the control design are presented in the form of theorems that require the choice of constant parameters. The search for the most adequate parameters was accomplished via the differential evolution algorithm. Moreover, the proposed switched controller design is compared with a constant output feedback gain controller and other methodologies proposed in the literature. Theoretical analyses, two numerical examples and a practical implementation in an active suspension system were carried out to show the advantages of the proposed methodology.