Controller Synthesis for Positive Linear Systems With Bounded Controls

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 54; no. 2; pp. 151 - 155
• Main Authors: Rami, M.A., Tadeo, F.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2007; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Bounded controls; Chemical processes; Circuits; Control equipment; Control system synthesis; Control systems; Initial conditions; Linear programming; Linear systems; Liquids; Mathematical model; positive systems; Robust control; Robust stability; stabilization; Synthesis; Temperature
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2006.886888

This brief solves some synthesis problems for a class of linear systems for which the state takes nonnegative values whenever the initial conditions are nonnegative. In particular, the synthesis of state-feedback controllers is solved in terms of linear programming problem, including the requirement...