LMI-based D-stabilization for a class of networked control systems via dynamic output feedback

This paper is concerned with the design problem of D - stabilizing dynamic output feedback controllers for a class of discrete - time systems with time - varying network - induced delays. By separating the delays into several small units, the D - stabilization problem for the original networked control system is equivalently transferred into the stabilization problem for a delay - free switching system with arbitrary switching. Then, a sufficient condition for the D-stability of the closed - loop system is derived in terms of linear matrix inequalities (LMIs), and a construction of the desired controllers which guarantee that all the closed - loop poles remain inside the specified disk D (α, r) is provided. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.