Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable.Reason (R): A system is unstable if the roots of the characteristic equation lie outside the unit circle.

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

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, to provide precise and accurate control of processes.
Scalability: DCSs can be easily expanded to control larger and more complex processes.
Performance monitoring: The ability to monitor performance over time.
Real-time information: The ability to respond to issues in a timely manner.
Maintenance schedules: The ability to keep precise maintenance schedules based on the actual run time of the equipment.
Environmental changes: The ability to respond quickly to environmental changes.
Energy efficiency: The ability to boost energy efficiency through programmable operations.

DCSs are often used in process plants, where analog PID controllers are replaced by digital counterparts. 

Here are some characteristics of DCSs:
Less susceptible to aging, environmental variations, and noise
Can be modified easily by changing software without changing the hardware
Computational speed and resolution (word length) are limitations that can cause instabilities 
 

Related Test: Control Systems Practice Test: Basics of Control System and Components

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