Uncertain Neutral Systems with Distributed Delays Robust H ∞ Control and Filter Design
|School||Shaanxi Normal University|
|Keywords||Neutral system Distributed Delays Robust H_ ∞ Control Dynamic output feedback control Robust H_ ∞ filter Linear matrix inequality (LMI)|
Delay phenomenon widely exists in a variety of practical systems, such as biological systems, chemical systems, network control systems, neural networks, nuclear reactors, the ship's stability, population dynamics model, etc. And there is often a delay system instability and performance source of variation, therefore, delay system stability analysis and control problem has important theoretical and practical significance. neutral system as a special kind of delay systems, it can also describe a number of physical systems, such as chemical reactors , the distribution network, population ecology, lossless transmission systems, heat exchange, etc. In recent years, research has been neutral system wide attention. article for the current robust H ∞ control and filtering the research status on the basis of the existing conclusions, further explored with distributed delay uncertain neutral systems robust H ∞ control and filtering based on Lyapunov stability theory, linear matrix inequality (LMI) approach that combines the results in order to reduce the proposed conservative ideological matrix of liberty, been considered by the system controller, and a sufficient condition for existence of the filter, and the corresponding parameters are given in the form of LMI feasible solution. (a) Uncertain Neutral Systems with Distributed Delays Robust H ∞ control this part of the study a class of uncertain neutral systems with distributed delays Robust H ∞ control problem is to design a full-order dynamic output feedback controller such that, for allowed uncertainty and delay, the closed-loop system is asymptotically stable and satisfy the given H ∞ performance requirements. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach that combines free weight matrix, to meet the requirements of the controller gives sufficient conditions for existence, and the corresponding controller parameters are given in the form LMI feasible solution. Finally, numerical examples demonstrate the feasibility and less conservative. (2) Uncertain Neutral Systems with Distributed Delays Robust H ∞ filter design this part study a class of uncertain neutral systems distributed delay full-order robust H ∞ filter design problem is to design a full-order robust H ∞ filter such that the filtering error dynamic systems that allow for uncertainty and delay is asymptotically stable and satisfies the given H ∞ performance requirements to Lyapunov stability theory, linear matrix inequality (LMI) approach has been to meet the requirements of robust H ∞ filtering problem conditions, and to LMI feasible solution given in the form of their requested Robust H ∞ filter. Finally. A numerical example is given to verify the feasibility and effectiveness.