If the z-transform of the system is given byH (z) = a+z-1/1+az-1Where a is real valued:

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Digital Control Systems topics include: Signal reconstruction, z transform, z-transfer function, equations, z and s domain relationship, stability analysis and compensation techniques. A digital control system (DCS) uses a computer to process signals from sensors and control a system or process. DCSs are a mix of discrete-time and continuous-time behavior. They can be in the form of a microcontroller, ASIC, or standard desktop computer.  DCSs have several advantages over other control systems, including: Improved process control: DCSs use advanced control algorithms, such as PID control,... Show more

If the z-transform of the system is given by<br />H (z) = a+z<sup>-1</sup>/1+az<sup>-1</sup><br />Where a is real valued: