摘要
在鲁棒H∞滤波理论的基础上,研究了一类具有随参数变化状态时滞的线性参数变化连续时间系统的鲁棒全阶H∞滤波问题.该系统的状态空间矩阵和时滞是实时可测且在闭集上变化的时变参数的确定函数.通过引入一个附加矩阵解除了系统矩阵与依赖于参数的李雅普诺夫函数之间的耦合,从而提出了更易于系统分析与综合的依赖于参数的H∞性能新准则.在此基础上,采用参数线性矩阵不等式方法推导了此类系统鲁棒全阶H∞滤波器存在的充分条件,并将滤波器的设计转化为一个凸优化的求解问题.所设计的滤波器能够保证相对于所有能量有界的外界扰动信号,滤波误差系统的H∞性能指标小于一定值.最后用数值仿真验证了所提出算法的可行性.文中所得结果可以推广到具有多重时滞的线性参数变化系统.
Based on the theory of robust H∞ filtering, the problem of robust full-order H∞ filtering for a class of continuous-time linear parameter-varying (LPV) systems with parameter-varying state delay is discussed. It is assumed that the state-space data and the time delay are dependent on the parameters that are measured in real-time and vary in a compact set with bounded variation rates. A parameter-dependent H∞ performance criterion is established by the introduction of a slack variable, which exhibits a kind of decoupling between the parameter-dependent Lyapunov functions and the system matrices. Then the corresponding linear parameter-dependent filtering design is presented. With sufficient conditions for the existence of admissible filter guaranteeing a desired H∞ noise attenuation level is established in terms of parameterized linear matrix inequalities. The admissible filter can be found by solving a convex optimization problem with global convergence assured. A numerical example is given. Although the single delay case is considered, the results can be extended to treat multiple delays.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
2004年第1期62-68,共7页
Journal of Harbin Engineering University
基金
国家自然科学基金资助项目(69874008).
