Reliable gain‐scheduled control design for networked control systems

In this article, the problem of reliable gain-scheduled H-infinity performance optimization and controller design for a class of discrete-time networked control system (NCS) is discussed. The main aim of this work is to design a gain-scheduled controller, which consists of not only the constant parameters but also the time-varying parameter such that NCS is asymptotically stable. In particular, the proposed gain-scheduled controller is not only based on fixed gains but also the measured time-varying parameter. Further, the result is extended to obtain a robust reliable gain-scheduled H-infinity control by considering both unknown disturbances and linear fractional transformation parametric uncertainties in the system model. By constructing a parameter-dependent Lyapunov-Krasovskii functional, a new set of sufficient conditions are obtained in terms of linear matrix inequalities (LMIs). The existence conditions for controllers are formulated in the form of LMIs, and the controller design is cast into a convex optimization problem subject to LMI constraints. Finally, a numerical example based on a station-keeping satellite system is given to demonstrate the effectiveness and applicability of the proposed reliable control law. (C) 2014 Wiley Periodicals, Inc.