Improvement of State Feedback Controller Design for Networked Control Systems

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 55; no. 5; pp. 464 - 468
• Main Authors: Tang, Bin, Liu, Guo-Ping, Gui, Wei-Hua
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2008; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Communication system control; Control systems; Controller design; Delay effects; Delay systems; delay-dependent approach; Derivatives; Design engineering; Design methodology; Equivalence; Linear matrix inequalities; linear matrix inequality; Mathematical analysis; Mathematical models; networked control system (NCS); Networked control systems; State feedback; Time delay; Upper bound; Vectors
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2007.914893

A new method is proposed to improve the state feedback controller design for networked control systems (NCSs) taking both network-induced time delay and packet dropout into account in this paper. An appropriate Lyapunov functional is introduced to establish the improved sufficient stabilizability conditions for NCSs with memoryless state feedback controller by considering an additional useful term when estimating the upper bound of the derivative of Lyapunov functional and introducing new free weight matrices. Based on this less conservative existence condition, a networked controller design method is derived, which is equivalent to the solvability of a set of linear matrix inequalities. Numerical example is given to demonstrate the effectiveness and benefits of the proposed method.