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Definition: Electrical and mechanical systems possess fixed analogy and there exist similarity between the equilibrium equations of the two. This allows forming such electrical systems whose behavioural characteristics are similar to the given mechanical system. Such systems are known as analogous systems. More specifically, it is called electrical analogous of mechanical system. Basically, two systems are analogous in nature when the conditions given below are fulfilled: There must … [Read more...] about Analogous Systems

It is a technique used for finding the transfer function of a control system. Basically, a formula that determines the transfer function of a linear system by making use of the signal flow graph is known as Mason’s Gain Formula. It shows its significance in determining the relationship between input and output. Introduction In the previous article, we have seen how a signal flow graph is constructed. We have already seen that a signal flow is a graph is generally formed by using the … [Read more...] about Mason’s Gain Formula

A graphical method of representing the control system using the linear algebraic equations is known as the signal flow graph. It is abbreviated as SFG. This graph basically signifies how the signal flows in a system. The equation representing the system holds multiple variables that perform a crucial role in forming the graph. Basically, if we have the set of equations that describes the system then by using the variables of the equation, the signal flow graph is obtained. This graph helps … [Read more...] about Signal Flow Graph of Control System

Routh-Hurwitz stability criterion is an analytical method used for the determination of stability of a linear time-invariant system. The basis of this criterion revolves around simply determining the location of poles of the characteristic equation in either left half or right half of s-plane despite solving the equation. We have already discussed, the stability of the control system in our previous article. It is considered an important parameter of the control system. The stability of a … [Read more...] about Routh-Hurwitz Stability Criterion

Nyquist criterion or Nyquist stability criterion is a graphical method which is utilized for finding the stability of a closed-loop control system i.e., the one with a feedback loop. This criterion serves as a crucial way for design and analysis purpose of the system with feedback. Thus, it finds major application in Electronics and Control System Engineering. The principle of Nyquist criterion was independently proposed by an electrical engineer of German origin, Felix Strecker in the year … [Read more...] about Nyquist Stability Criterion

Observability of a control system is the ability of the system to determine the internal states of the system by observing the output in a finite time interval when input is provided to the system. It is another crucial property of the control system as it shows the behavioural approach of the control system. It is also proposed by R. Kalman, the one who proposed controllability. Observability in control system For a better understanding of the term observability, let us understand it in … [Read more...] about Observability

Controllability is defined as the ability of a control system to reach a definite state from a fixed (initial) state in a finite time. It is considered as an important property of the control system as it defines the behaviour of the control system. The theory of controllability was proposed in 1960 by R. Kalman. Controllability in Control System A system is completely controllable if the initial state of the system is transferred to any particular state, in a finite time duration, when a … [Read more...] about Controllability

Definition: A lag lead compensator is a type of electrical network that generates phase lag as well as phase lead in the output signal at different frequencies when a steady-state sinusoidal input is provided to it. It is also known as lag lead network. In case of a lag lead compensator, the phase lead and phase lag occur at different frequency regions. Generally, at low-frequency phase lag characteristics is noticed in the output of the circuit. While at high frequency, we have phase lead … [Read more...] about Lag Lead Compensator

Definition: A lag compensator is a circuit that is designed to generate a steady-state sinusoidal signal having a phase lag to the applied input sinusoidal signal. This can also be stated in a way that it is a circuit that is when provided with a sinusoidal input produces a sinusoidal output signal whose phase lags the applied input. It is sometimes referred as a lag network. We know that compensators are used in the control system in order to have the desired output. Basically, the … [Read more...] about Lag Compensator

Definition: A lead compensator is an electrical circuit that when provided with a sinusoidal input generates a sinusoidal signal as output with a phase lead in comparison to that of the applied sinusoidal signal. It is also known as lead network. What is compensator? We are aware of the fact that control systems are used to control the behaviour of the system in order to provide the desired output. But for proper controlling, the control system must also be properly designed. The major … [Read more...] about Lead Compensator