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- 1. Control Systems Paper code : EC602 Dr. Anilesh Dey Associate Professor and HOD Department of ECE, Narula Institute of Technology Lecture 5
- 2. Last Lecture • Block Diagram Algebra numerical problems Today’s Topic • Signal Flow Graph • MASON’S Gain Formula
- 3. Background: Block diagram reduction is the excellent method for determining the transfer function of the control system. However, in a complicated system, it is very difficult and time-consuming process that is why an alternate method, i.e., SFG was developed by S.J Mason which relates the input and output system variables graphically. In the signal flow graph, the transfer function is referred to as transmittance.
- 4. Characteristics of SFG: SFG is a graphical representation of the relationship between the variables of a set of linear algebraic equations. It doesn't require any reduction technique or process. It represents a network in which nodes are used for the representation of system variable which is connected by direct branches. SFG is a diagram which represents a set of equations. It consists of nodes and branches such that each branch of SFG having an arrow which represents the flow of the signal. It is only applicable to the linear system.
- 6. For the given signal flow graph find the ratio C/R.
- 12. Obtain signal flow graph representation for a system whose block diagram given below and using Mason’s gain formula determine the ratio C/R.
- 14. • References: 1. Automatic Control Systems 8th edition– by B. C. Kuo 2003– John Wiley and son’s, 2. Control Systems Engineering – by I. J. Nagrath and M. Gopal, New Age International (P) Limited, Publishers, 2nd edition. 3. Control Systems –by Ramesh Babu 4. Modern Control Engineering – by Katsuhiko Ogata – Prentice Hall of India Pvt. Ltd., 3rd edition, 1998. 5. NPTEL video lecture--by Dr. Ramkrishna Pasumarthy
- 15. Feel free to contact me Dr.Anilesh Dey anileshdey@ieee.org anilesh.dey@nit.ac.in head_ece.nit@jisgroup.org End of Lecture 5. Meet u @lecture 6