Control Theory Research Of Wireless Networked Based On Singular Plant

Networked control systems(NCSs) are the closed-loop feedback control systems wheretraditional connection point to point is replaced by communication network. NCS is the perfectcombination of control system and communication network, where the actuator, plant, sensorand controller are connected through shared network. Within its advantages such as informationresources sharing, less attachment, low cost, easy extension and maintenance, high efficiencyand flexibility, it is attracting more and more attention. However, because of the introductionof the communication network, control systems appear a lot of new problems, including signaltransmission delay, packed dropout, and quantization error, etc. Therefore, in recent years, therehave been some results published on NCSs.In this thesis, we choose singular systems as controlled plant, because they can better de-scribe the general physical systems. On the other hand, in the actual control system, thereinevitably exists time-delay, which often affects the stability and performance index of the sys-tems. Stochastic variable satisfying Bernoulli random binary distribution is introduced to modelthe lossy measurements. At the same time, the logarithmic quantizer is introduced, and we con-vert it to the solution the problem of the uncertainty. The main task of our work are listed asfollows:1. For the singular time delay systems, which exists measurement missing, we design a dy-namic output feedback controller such that the control system is regular, causal, asymptoticallymean-square stability and satisfies the prescribed H∞performance constraint. A numerical ex-ample is given to solve the parametric matrices of the H∞controller. The data and waveformrecorded in the example prove the feasibility of the proposed approach.2. The problem of H∞filtering for singular systems with unideal communication channelusing quantized measurements is investigated. Stochastic variable satisfying Bernoulli binarydistribution is introduced to model the lossy measurements. Then, a full order filter is designedto cope with data packet loss and lighten quantization effects such that the filtering error systemis not only regular, causal, stochastically mean-square stable but also satisfies the prescribed H∞filtering performance. Further, a sufficient condition for the existence of the aforementionedfilter is given. Finally, a numerical example is to prove the effectiveness and reliability of theapproach method.3. We concern with the issue of quantized H∞filtering for singular time-varying delay sys-tems with an unreliable communication channel. The missing data are described by a stochasticvariable satisfying Bernoulli binary distribution. The purpose is to design a linear H∞filter such that the filtering error system is regular, causal, stochastically stable, and satisfies the prescribed H_∞performance constraint. First, based on a finite sum inequality, a new delay-dependent sta-bility condition is obtained. Then, the filter parameters are derived by solving a linear matrixinequality (LMI). Finally, two numerical examples are given. One example is used to verifythe effectiveness of the proposed methods, and another example shows the differences of usingquantizer and no using quantizer.