关键词: 时滞不确定系统, 观测器, 反馈, 奇异值分解（SVD）, 线性矩阵不等式

Abstract: Engine speed control system is a complex time-delay uncertain system. In this paper, a combined observer and stated feedback controller design procedure for this system is proposed. Using the engine mechanical principle, the mathematical model is established as well as the Luenberger-observer. A sufficient condition for robust asymptotical stability of the closed-loop system is presented based on Lyapunov function theory. By using matrix’s Singular Value Decomposition（SVD） and Linear Matrix Inequality（LMI） techniques, the existence condition and method of designing an observer-based feedback controller is derived. The result is obtained in terms of LMI, which makes all the gain matrices can be easily obtained by Matlab’s LMI toolbox. The simulation results demonstrate the validity of this approach.

Key words: time-delay uncertain systems, observer, feedback, Singular Value Decomposition（SVD）, Linear Matrix Inequality（LMI）