Performance optimization for networked control systems with limited channels and data drift

This paper studies the problems of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance optimization and controller synthesis for discrete-time networked control systems (NCSs) with limited communication channels and data drift. By taking the non-uniform distribution characteristic of packet dropout into full consideration, and proposing the channel utilization-based switched controller, novel models for NCSs with limited communication channels and data drift are presented. A new Lyapunov functional is presented, and new bounding inequalities for cross product of vectors are also given. Then, the quantitative relationships between packet dropout probability and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance of NCSs are presented. Numerical example is given to illustrate the merits and effectiveness of the proposed methods.