| In the practical engineering practice, it is impossible to establish mathematic model of the system accurately. Furthermore, uncertain time-delay and nonlinearities are universal in the practical control system and their existence seriously reduce the performance of the system. Lur’s control system is a typical system with time-delay uncertainties and nonlinear systems. And the stability of the research has gotten many scholars’ attention. In many of the actual project, a lot of the system state vectors can’t be obtained or can’t be measured directly, therefore, that will need through augmented system structure and the design state observer, that make the system state measurement possible. Because of the exponential stability than the asymptotic stability has higher convergence speed, thus this paper studies robust stability and state observer of the index design problem for Lur’e control system. The main research contents include the following aspects:(1) We do the research for the robust H∞exponential stability for Lur’e control system. Firstly, we study the autonomous system for Lur’e control system that has a robust H∞performance. And on this basis we give the exponential stability of the autonomous system performance analysis. And then we conduct research on the Lur’e control system and the Lur’e control system that has control input delay. We provide the sufficient conditions that meet robust H∞performance exponential stability and the controller design method. Finally, a simulation example shows the effectiveness of the design method.(2) We do the research for the Lur’e control system of the state observer design problem. We will design state observer and controller based on the observer for the Lur’e control system that can’t be obtained or can’t be measured directly and that not only enable the system to keep robust stabilization but also have H∞performance. Finally, a simulation example shows the effectiveness of the design method. |
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