Exact model-matching of 2-D systems via input-output feedback method

Abstract

Abstract. In this paper we examine the exact model-matching problem for multiple-input, multiple-output 2-D (two-dimensional) linear systems using a transfer function technique. The system configuration described here is an observer-based feedback configuration, and the feedback compensator is of the form similar to the PID type for analog systems. An example is given to illustrate the feasibility of this approach.

Design of the Observer Feedback Gain for Two-Dimensional Discrete Systems

“…The observed state is used to form the control vector or (3) where is the state feedback gain with dimension . Let us assume the state observer dynamic equations as follows:…”

“…For the two-dimensional (2-D) case, some researchers just do their work by the observer-based compensator, e.g., Chung and Liu [3], [4] tackled the exact model-matching problem by the observer-based method.…”