Reliable gain‐scheduled control design for networked control systems

Abstract

In this article, the problem of reliable gain‐scheduled H∞ 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∞ 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. © 2014 Wiley Periodicals, Inc. Complexity 21: 214–228, 2015

Static output‐feedback control for interval type‐2 discrete‐time fuzzy systems

“…Considering h ijt in (12), h ijt in (13), and the equalities in (14), we express the following set of inequalities, which is equivalent to the set of inequalities in (26), (27) Thus, the set of inequalities in (27) is satisfied by the condition in (18). Hence, jjzjj 2 < cjjwjj 2 as J 1 < 0, which means for all nonzero w5w k ð Þ 2 L 2 0; 1 ½ Þ, the conditions in Theorem 1 can guarantee that the system in (15) is asymptotically stable with an H 1 performance index c. Moreover, under disturbance-free cases, it can be easily obtained DV (x(k)) < 0 from (21), which means the system in (15) is asymptotically stable.…”

“…Consequently, reliable control or reliable control method [15,16] is introduced to tolerate the failures of actuators and sensors, and further maintain the stability and performances of systems. Over the past few decades, the reliable control problem for nonlinear systems has drawn considerable attention and many results have been developed [13,[16][17][18][19][20][21][22][23][24][25][26]. To mention a few, the work in [18] addressed the reliable mixed L 2 =H 1 control for the Takagi-Sugeno (T-S) fuzzy model via static output-feedback (SOF) control approach.…”

Nonfragile passivity and passification of nonlinear singular networked control systems with randomly occurring controller gain fluctuation

“…NCSs are typically composed of physical plant, sensors, controllers, and actuators, which are connected by a communication network. Compared with traditional control systems, great benefits can be obtained by NCSs, such as increasing the reliability, reducing the cost, getting high flexibility, and so on [1][2][3][4]. However, there are still challenges when dealing with the network-induced transmission delays and data dropouts in communication channels.…”

Robust reliable L2 – L∞ control for continuous‐time systems with nonlinear actuator failures

“…Therefore, from a safety as well as performance point of view, it is necessary to design a reliable controller that possesses the ability to maintain the overall system stability and to provide satisfactory performance in the presence of component failures . In this connection, much more research has been attempted to resolve the reliable or fault‐tolerant control and detection problems for delayed systems over the past few decades. For instance, adaptive fuzzy decentralized fault‐tolerant control problem for a class of uncertain nonlinear large‐scale systems with actuator failures has been discussed in , where the states are assumed to be unmeasurable.…”

“…For instance, adaptive fuzzy decentralized fault‐tolerant control problem for a class of uncertain nonlinear large‐scale systems with actuator failures has been discussed in , where the states are assumed to be unmeasurable. In , by constructing a probability‐dependent Lyapunov functional and using LMI and free‐weighting matrix techniques, the robust reliable gain‐scheduled control problem for networked control systems in the presence of actuator failures has been studied. Recently, the design problem of mixed and passivity‐based fault‐tolerant sampled‐data controller for a class of stochastic system with actuator failures has been investigated in , where the plant is modeled as a continuous‐time system and the control inputs are implemented as discrete‐time signals.…”