Digital Controller Design for Analog Systems Represented by Multiple Input-Output Time-Delay Transfer Function Matrices with Long Time Delays

作者：Wang Hsun Pang; Gu Xiaohui; Xie Linbo; Shieh Leang San; Tsai Jason S H^*; Zhang Yongpeng

来源：Circuits, Systems, and Signal Processing, 2012, 31(5): 1653-1676.

DOI：10.1007/s00034-012-9393-2

• Digital redesign
• Multiple time-delay transfer function matrices
• Long time delays
• Optimal digital observer
• Input-output delays

This paper presents a digital controller design methodology for multivariable analog systems represented by minimally realizable multiple input-output time-delay transfer function matrices with long time delays. First, the analog transfer function matrix with multiple input-output time delays is minimally realized and represented by a delay-free state-space model and a multiple output-delay function. For a specific multiple time-delay transfer function matrix with complex poles, a minimal realization scheme is newly proposed. Then the minimized delay-free state-space model is utilized for linear quadratic regulator (LQR) design. Furthermore, the designed analog LQR is digitally redesigned via a predictive state-matching method for finding a low-gain digital controller from the pre-designed high-gain analog controller. For implementation of the digitally redesigned controller, a digital observer is constructed for the multiple time-delay system with long time delays. An illustrative example is given to demonstrate the effectiveness of the proposed method.

• 出版日期2012-10
• 单位江南大学