Mode-Independent -Control of a DC Motor Modeled as a Markov Jump Linear System

• Published in: IEEE transactions on control systems technology Vol. 22; no. 5; pp. 1915 - 1919
• Main Authors: Oliveira, Ricardo C. L. F., Vargas, Alessandro N., do Val, Joao B. R., Peres, Pedro L. D.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2014; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Appeals; Computers; Control systems; DC motors; Design engineering; Direct current; Electric motors; Linear systems; Markov jump linear systems (MJLS); Markov processes; Output feedback; Strategy; Markov jump linear systems (MJLS); Control systems
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2013.2293627

This brief presents a control strategy for Markov jump linear systems (MJLS) with no access to the Markov state (or mode). The controller is assumed to be in the linear state-feedback format and the aim of the control problem is to design a static mode-independent gain that minimizes a bound to the corresponding H 2 -cost. This approach has a practical appeal since it is often difficult to measure or to estimate the actual operating mode. The result of the proposed method is compared with that of a previous design, and its usefulness is illustrated by an application that considers the velocity control of a DC motor device subject to abrupt failures that is modeled as an MJLS.