状态空间模型下的Hammerstein系统的递推子空间辨识方法(英文)

• 作 者: 陈曦 方海涛
• 机 构: Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy o
• 出 处: 自动化学报
• 发表日期: 2010年10期
• 关键词: 子空间 Hammerstein recursive 状态空间模型 subspace projection asymptotically utilize SISO

In this paper, the subspace methods for multi-input multi-output (MIMO) Hammerstein systems in state-space form are considered, for the reason that relation of input and output in MIMO case is appropriate to indicate in this form. In open-loop case, a subspace identification method is given for Hammerstein systems, in which the nonlinear static function can be represented as a linear combination of finite basis functions, and the recursive version of this method is also given. We show that, in mild conditions, the method given in this paper is consistent in some sense. A numerical example is given to show the performance of this method.

In this paper, the subspace methods for multi-input multi-output (MIMO) Hammerstein systems in state-space form are considered, for the reason that relation of input and output in MIMO case is appropriate to indicate in this form. In open- loop case, a subspace identification method is given for Hammerstein systems, in which the nonlinear static function can be represented as a linear combination of finite basis functions, and the recursive version of this method is also given. We show that, in mild conditions, the method given in this paper is consistent in some sense. A numerical example is given to show the performance of this method.