Stability analysis and observer design for neutral delay systems
Stability analysis and observer design for neutral delay systems
复制标题
DOI：
10.1109/9.989144
复制
发表时间：
2002-08
期刊：
影响因子：
--
通讯作者：
Zidong Wang;J. Lam;K. Burnham
中科院分区：
文献类型：
--
作者：
Zidong Wang;J. Lam;K. Burnham
研究了一类中立型线性时滞系统的观测器设计问题。所要解决的问题是设计一个保证误差动态系统指数稳定性的全阶观测器。提出了一种求解该问题的有效的代数矩阵方程方法。特别对观测器的分析和设计问题进行了研究。利用奇异值分解技术和广义逆理论，首次建立了中立型时滞系统指数稳定的充分条件。然后，根据一些自由参数，推导出期望观测器的显式表达式。最后，通过算例验证了所提设计方法的有效性。
This paper deals with the observer design problem for a class of linear delay systems of the neutral-type. The problem addressed is that of designing a full-order observer that guarantees the exponential stability of the error dynamic system. An effective algebraic matrix equation approach is developed to solve this problem. In particular, both the observer analysis and design problems are investigated. By using the singular value decomposition technique and the generalized inverse theory, sufficient conditions for a neutral-type delay system to be exponentially stable are first established. Then, an explicit expression of the desired observers is derived in terms of some free parameters. Furthermore, an illustrative example is used to demonstrate the validity of the proposed design procedure.