Observer-based passive control for uncertain linear systems with delay in state and control input

• 来源期刊: 中国物理(英文版)
• 关键词: passive control time-varying delay observer parametric uncertainties linear matrix inequality (LMI)
• 年，卷（期）: 2005,（12）
• 页码范围: 2379-2386
• 页数: 8页
• 语种: 英文

摘要

This paper deals with the robust passivity synthesis problem for a class of uncertain linear systems with timevarying delay in state and control input. The parameter uncertainties are norm-bounded and allowed to appear in all matrices of the model. The problem aims at designing an observer-based dynamic output-feedback controller that robustly stabilizes the uncertain systems and achieves the strict passivity of closed-loop systems for all admissible uncertainties. By converting the problem at hand into a class of strictly passive control problem for a parameterized system, the explicit solution is established and expressed in terms of a linear matrix inequality. A numerical example is provided to demonstrate the validity of the proposed approach.