Solved Examples of Time-Variant and Invariant Control System
Some pf the examples of this system are mentioned below:
Determine the following system is time-variant or time-invariant.
- y(t)=x(t)+x(t-3)
solution:- y(t,t0)=x(t-t0) + x(t-t0-3).
y(t-t0)=x(t-t0) + (t-t0-3).
y(t,t0)=y(t-t0),
so the system is time-invariant. - y(t) = x2(t) +3t.
solution:-y(t,t0) = x2(t-t0)+3t.
y(t-t0) = x2(t-t0)+3(t-t0)
y(t,t0) ≠ y(t-t0),
so the system is time-variant. - y(t) = tx(t) – x(t+3)
solution:- y(t,t0) = tx(t-t0) – x(t-t0+3).
y(t-t0) = (t-t0)x(t-t0) – x(t-t0+3)
y(t,t0) = y(t-t0)
so the system is time-variant.
Time-Variant and Invariant Control System
Control systems play an important role in engineering, they help in regulating and controlling a process or a system to obtain controlled output. There are different types of control systems such as Linear and non-linear systems, Causal and Non-causal systems. Time variant and Time invariant control systems are one of them. In this article, we’ll learn about the time-variant and invariant systems.
Table of Content
- Time-Variant System
- Time-Invariant System
- Determination of Time-Variant and Time-Invariant Control System
Mathematical Equation of a System- Solved Examples of Time-Variant and Invariant Control System
- Difference Between Time-Variant and Time-Invariant System
Contact Us