| With the development of computers, network technology and the expansion ofindustrial production, the traditional control systems gradually have been replaced bynetworked control systems. Generally，networked control system (NCS) is consideredas the system which is composed of many subsystems. One of the important researchof the networked control systems is the nonlinear networked control systems. Whilethe Lurie control system is one of the classic nonlinear systems, which can beregarded as a feedback connection of linear system and nonlinear element satisfyingsome sector conditions, which can represent a lot of nonlinear dynamical systems inpractical engineering. Thus, the analysis and synthesis for the global property ofnetwork control systems with Lurie subsystems are meaningful not only in theory butalso in practice.In this paper, the global property of heterogeneous and homogeneous Lurienetwork control systems with uncertainties and different interconnections are studied.Besides, the related controllers are also given. The specific contents of thisdissertation are summarized in the following:1. For heterogeneous Lurie network control systems, considering the parameteruncertainties, the problem of the dichotomy of systems is concerned. Theheterogeneous network control system is composed of different subsystems, which area kind of nonlinear systems, i.e., Lurie systems. And the interconnections between thesubsystems include not only the interconnection of states but also the interconnectionsof input and output of the nonlinear part. By using the dichotomy criterion of singleLurie system and the theory of linear matrix inequality, the dichotomy criterion ofheterogeneous Lurie network control systems is obtained. Besides, the robustdichotomy criterion and the corresponding controller designing method of hetero-geneous Lurie network control systems are given.2. For homogeneous Lurie networks control systems, considering theinterconnections of subsystems, the analysis and synthesis of the dichotomy andabsolute stable of the network system are considered respectively. Theinterconnections between the subsystems include not only the linear interconnectionof states, but also the nonlinear interconnection of the sector nonlinearity. And thetopology of Lurie network systems is described by a matrix. By considering thecharacter of this matrix, the analysis of dichotomy and absolute stability can be castinto the analysis of the dichotomy and absolute stability of a set of systems with thesame dimension as a single subsystem, and the related LMI criterion is derived. Based on the obtained results, the methods of corresponding controller design forhomogeneous Lurie networks control systems are addressed.3. For the heterogeneous Lurie network control systems referred in the first part,the design method of state feedback controller with memory guaranteeing theclosed-loop system absolute stable is presented. Using Lyapunov method, andchoosing state feedback controller with memory, the method of designing the delayindependent controller guaranteeing the closed loop system absolute stability is given.Furthermore, by using the Razumikhin theorem, the maximum time delay ensuringthe whole network system absolute stability is derived. Finally, numerical examplesare given to illustrate the effectiveness and the applicability of the proposed methods. |
