H∞ filter design for discrete-time system with lossy measurement: an LMI approach
This paper investigates the problem of H∞ fullorder filter and reduced-order filter design for a class of discrete-time system with lossy measurement. The lossy measurement is described by a binary switching sequence satisfying Bernoulli distribution. By introducing slack variable, sufficient conditions are obtained for the existence of admissible filters. Moreover, in order to overcome the non-convex constraint for reduced-order H∞ filter design, by converting the structural constraints on the Lyapunov matrix to the constraints on the slack variables, the admissible filters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities(LMIs), which can be solved via efficient interior-point algorithms. Numerical example is presented to illustrate the feasibility and advantages of the proposed methodologies.
Ming-Shun Wang Mou-quan Shen
College of Information Science and Engineering,Northeastern University, Shenyang, Liaoning, 110004, China
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
3432-3436
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）