On Some Of The Problems For Decentralized Connective Stabilization Of Large Scale Interconnected Systems

Decentralized connective stabilization problem of large scale interconnected systems attracts attention from many scholars. Structural changes or reconstructions of the system have a major impact on the stability of it. In order to reduce the impact, five relevant problems in terms of structural connective stability control of large scale systems are studied in this paper. Specific contents as follows:1. A multi-overlapping robust decentralized connective stabilization method based on dynamic output feedback is studied for a class of large-scale interconnected systems with the netted topogical structure. Inclusion Principle of large-scale systems, Lyapunov theory and LMI approach are used to obtain the sufficient condition for stability and connective stability of the overall system. And the design method of dynamic output feedback controllers is given. The proposed method is applied to AGC control design of a four-area interconnected power system with the netted structure. Simulation results show the feasibility and superiority of the proposed method.2. The decentralized connective stabilization problem based on state observation is studied for a class of large-scale systems with expanding construction. According to Lyapunov theory and LMI approach, the sufficient condition for the decentralized connective stabilization of expanded system is obtained and the new design method of corresponding controllers is given. Meanwhile, simulation results for the subsystems with different dimensions and control methods are given.3. Robust decentralized connective stabilization problem based on reduce-order observers is studied for a class of large-scale systems with expanding construction. The mathematical model is introduced for a class of large-scale system with expanding construction based on reduced-order observers. The robust connective stabilization sufficient condition is derived for expanded system by using Lyapunov theory and LMI approach. A design method of corresponding controllers is given and simulation example is preceded.4. Finite-time robust decentralized connective stabilization problem for a class of large-scale systems with expanding construction is studied. The concepts of finite– time and connective stable are applied to decentralized controller design of large– scale systems with expanding construction. The sufficient conditions of the finite-time decentralized connective stabilization for this kind of systems are deduced by using LMI method, which is based on state feedback and output feedback. And the design method of corresponding controller for expanding subsystem is given. The effectiveness of the proposed method is verified by some simulation results.5. Finite-time decentralized connective H_∞ control problem for a class of large-scale interconnected systems and large-scale systems with expanding construction is studied. The definition of finite-time H_∞connective boundedness for large-scale systems with expanding construction is given. The sufficient conditions of the decentralized finite-time H_∞ connective bounded for the two kinds of systems and corresponding design methods are deduced. The feasibility of the proposed method is verified by some simulation results.