Digital redesign of the cascaded continuous-time controller. Time-domain approach

A digital redesign for the digital implementation of the existing continuous-time cascaded controller is presented. The proposed method is based on the use of the block-pulse function and the development of the ideal state reconstructor. Even though the state of the controlled system cannot be obtained by a direct measurement, the state variables can be reconstructed from the measurements of inputs and outputs, such that a digitally redesigned cascaded controller can be implemented. It is shown that the method proposed via this time-domain approach is suitable for computer programming, and it is superior to the commonly used frequency-domain bilinear transform method. An illustrative example is shown to demonstrate the effectiveness of the proposed method.