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Design of Non-fragile Satisfactory Estimator for Linear Continuous Perturbed Stochastic Systems
作者姓名:臧文利  王远钢  郭治
作者单位:[1]Department of Automation, Nanjing University of Science and Technology, Nanjing 210094 Jiangsu, China [2]School of Sciences, Nanjing University of Science and Technology, Nanjing 210094 Jiangsu, China
摘    要:The design problem of non-fragile estimator is addressed for a class of perturbed linear continuous systems. The perturbations occur on the plant and estimator parameters. The estimator designed should force the error system to achieve the desired decay rate and force the steady error variance less than the specified upper bound irrdevancy of the admissible plant perturbations and estimator perturbations. Consistency problem of the decay rate with the variance upper bound is first considered via linear matrix inequality (LMI) approach. The solution of the estimator parameter under specifications to be consistent is then discussed. The consistency condition of specifications and estimator parameter solution are transformed to feasible or minimum problems subject to a set of LMI respectively. The method is illustrated by a numerical example.

关 键 词:稠度  矩阵  随机线性连续系统  估计器  自动化技术
文章编号:1673-002X(2006)01-0063-04
收稿时间:2005-03-14

Design of Non-fragile Satisfactory Estimator for Linear Continuous Perturbed Stochastic Systems
ZANG Wen-li,WANG Yuan-gang,GUO Zhi.Design of Non-fragile Satisfactory Estimator for Linear Continuous Perturbed Stochastic Systems[J].Journal of China Ordnance,2006,2(1):63-66.
Authors:ZANG Wen-li  WANG Yuan-gang  GUO Zhi
Abstract:The design problem of non-fragile estimator is addressed for a class of perturbed linear continuous systems. The perturbations occur on the plant and estimator parameters. The estimator designed should force the error system to achieve the desired decay rate and force the steady error variance less than the specified upper bound irrelevancy of the admissible plant perturbations and estimator perturbations. Consistency problem of the decay rate with the variance upper bound is first considered via linear matrix inequality (LMI) approach. The solution of the estimator parameter under specifications to be consistent is then discussed. The consistency condition of specifications and estimator parameter solution are transformed to feasible or minimum problems subject to a set of LMI respectively. The method is illustrated by a numerical example.
Keywords:non-fragile estimation  consistency  perturbed system  satisfactory estimation  linear matrix inequality  Stochastic Systems  Continuous  Linear  Estimator  method  numerical  example  condition  feasible  minimum  problems  subject  solution  parameter  specifications  consistent  approach  Consistency  variance  linear matrix inequality
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