In this paper, the digital redesign of a continuous suboptimal tracker for the two-dimensional (2-D) systems is proposed. This paper presents a new optimal digital redesign technique of 2-D systems for finding a dynamic digital control law from the given continuous-time 2-D systems by minimizing a quadratic cost function (performance index). We directly convert the original continuous-time 2-D quadratic cost function into the discretized form and solve the optimization problem in the discrete-time domain. The developed optimal digital redesign control law enables the output of the digitally controlled closed-loop systems to closely match the reference signal for 2-D systems, and it can be easily implemented using microcomputers. An illustrative example is presented to demonstrate the effectiveness of the proposed procedure.
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