Research On Quantized Control Of The Networked Fuzzy Singular Systems

Networked control systems (NCSs) have drawn considerable research attentions in recent years. A networked control system is a system in which the plant, sensor, controller and ac-tuator are connected through a shared communication network. Compared to the traditional point-to-point control systems, the advantages of the NCSs are low cost, easy maintenance, high efficiency and flexibility etc, and it has been used in many applications. However, as the insertion of the communication networks in the control loop, many new problems have been arisen in the NCSs, such as the network-induced delay, data loss, quantization error and so on. The traditional control theory is no longer applicable to the NCSs and some new control theories about the NCSs should be studied.On the other hand, the nonlinear control theory, since its wide applications in the real world, has been studied for a long time. There are many ways to deal with the nonlinear systems, one of them is the T-S model based fuzzy system theory, which represents the nonlinear systems by a set of linear system models. In recent years, the fuzzy singular system has drawn more and more research attentions since the advantage that less fuzzy rules will be used than the nonsingular fuzzy models.The quantized control of the fuzzy singular systems is studied in this dissertation. We consider the situation that the time delay, data loss and quantization errors exist simultaneously in the networked environment. And the main work of this dissertation are outlined as follows:(1) The state feedback control problem of the networked fuzzy singular system is studied. Both the data loss and quantization exist in the networks and the data loss process is described by the Bernoulli Process, while the quantization error is modeled an a sector bounded uncertainties. A sufficient condition is given to guarantee the closed loop system to be regular, causal and stable, which can be obtained by solving a set of LMIs. Finally, a numerical example is given to show the effectiveness of the proposed approach.(2) In view of the system status unmeasured and output can be measured, the dynamic output feedback control problem of the multi-channel transmission network control system is studied. The data loss process is described by the Bernoulli Process and the quantization error is modeled an a sector bounded uncertainties. A sufficient condition is given to guarantee the closed loop system to be regular, causal and stable and the parameters of the dynamic output controller can be obtained by solving a set of LMIs. Finally, a numerical example is given to show the effectiveness of the proposed approach.(3) In order to cope with data packet loss and lighten quantization effects,increase the anti-interference ability. The H? filtering design for the networked fuzzy singular system is studied. By using the LMI technique, a sufficient condition is given to guarantee the filtering error system to be regular, causal, stable and satisfy the a given H? performance. Finally, a numerical example is given to show the effectiveness of the proposed approach.