A Parameter-Dependent Approach to Robust H-infinity Filtering for Time-Delay Systems

作者：Gao Huijun^*; Meng Xiangyu; Chen Tongwen

来源：IEEE Transactions on Automatic Control, 2008, 53(10): 2420-2425.

DOI：10.1109/TAC.2008.2007544

• H-infinity filtering
• linear matrix inequality (LMI)
• robust filtering
• time-delay systems
• uncertain systems

This paper is concerned with the problem of robust H-infinity filtering for linear continuous-time systems with polytopic parameter uncertainties and time-varying delay in the state. We utilize the polynomially parameter-dependent idea to solve the robust H-infinity filtering problem, with new linear matrix inequality conditions obtained for the existence of admissible filters. These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The delay-dependence and polynomial parameter-dependence guarantee the proposed approach to be potentially less conservative, which is shown via a numerical example.

• 出版日期2008-11
• 单位哈尔滨工业大学