EE250, Control Systems Analysis 2025-2026, Sem II

This is a course webpage for Control Systems Analysis offered in Sem II, 2025-2026.

Objective

The objective of this course is to develop a fundamental understanding of modeling, analysis, and interpretation of feedback control systems, with emphasis on stability and performance. The course aims to equip students with core analytical skills needed for classical control design and further study in control theory.

Instructor

Abhilash Patel, apatel[at]iitk.ac.in

Tutors

Name	Email
Prof Nishchal Kumar Verma	nishchal@iitk.ac.in
Prof Ramprasad Potluri	potluri@iitk.ac.in
Prof Soumya Ranjan Sahoo	srsahoo@iitk.ac.in
Neeta Yadav	neetayadav23@iitk.ac.in
Pradeep M	pradeepm22@iitk.ac.in

Teaching Assistants

Name	Roll No	Email
Akshay Kumar Jaiswal	231040605	akjaiswal23@iitk.ac.in
Swati Priya	21204268	swatipr21@iitk.ac.in
Insha Rahman	241040612	inshar24@iitk.ac.in
Lisa Naik	241040615	lisanaiik24@iitk.ac.in
Neelam Verma	241040619	neelamv24@iitk.ac.in
Prakhar Bajpai	241040621	prakharb24@iitk.ac.in
Utkarsh Singh Solanki	242040619	utkarshss23@iitk.ac.in
Animesh Majhi	251040014	animeshm25@iitk.ac.in
Srinjoy Chakraborty	251040638	srinjoyc25@iitk.ac.in

Schedule

For Lecture: TThF, 11.00-12.00, at L02

For Tutorial: W, 11.00-12.00, at T101-T105

Announcements

We are using HelloIITK/email for any announcements. We will be circulating class scribbles/board works as well as problem sets through HelloIITK. Its encouraged that you prepare a detailed class notes.

Lectures

Lecture	Topics	Reading Recommended	Class Discussion
L1/06-01-2026	Course Mechanics and motivation	FCH
L2/08-01-2026	Introduction to Control Systems: Open-loop, Closed-loop	Og 1.3	L2
L3/09-01-2026	Introduction to Control Systems: Closed-loop, Feedbacks; MATLAB exposure	Og 1.2-1.3	L3
L4/13-01-2026	Our Secret in Modeling and Transfer Function	Og 2.1-2.2 / NG 2.4/ Wo 3.1	L4
L5/14-01-2026	(Revisit to) Laplace Transform	Og Appendix A-B/	L5
L6/15-01-2026	Transfer Function: Poles & Zeros, Modeling Framework	Og 2.1-2.2 / NG 2.4/ Wo 3.1	L6
L7/16-01-2026	DC Motor Modeling	Og 3 and 4/ DB 2.5	L7
L8/20-01-2026	Block Diagram Reduction	NG 2.5	L8
L9/22-01-2026	Signal Flow Graph, Mason's Gain Formula	NG 2.6/ DB 3.4	L9
L10/27-01-2026	Mason's Gain Examples	NG 2.6/ DB 3.4	L10
L11/29-01-2026	Performance and Stability, What is BIBO Stability	NG 6.1/ DB 6.1	L11
L12/30-01-2026	BIBO Stability, Absolute Integrability	NG 6.1/ DB 6.1	L12
L13/3-02-2026	BIBO Stability, Pole Locations in LHP	NG 6.1/ DB 6.1	L13
L14/4-02-2026	Routh-Hurwitz Criterion	NG 6.2-6.4/ DB 6.2	L14
L15/5-02-2026	Special Cases Routh-Hurwitz Criterion	NG 6.2-6.4, 6.6/ DB 6.2	L15
L16/10-02-2026	Relative Stability, Quick intro to PID, Stabilization using RH	NG 6.5, 10.6/	L16
L17/11-02-2026	Time-response of First Order System	NG 5.1-5.3/Og 5.1-5.2	L17
L18/12-02-2026	Time-response of First Order System	NG 5.1-5.3/Og 5.1-5.2	L18
L19/17-02-2026	Time-response of Second Order System	NG 5.1-5.8/Og 5.3-5.4	L19
L20/17-02-2026	Time-response of Second Order System	NG 5.1-5.8/Og 5.3-5.4	L20
L21/19-02-2026	Root Locus	NG 7.1-7.3/DB 7.1-7.2	L21
L22/20-02-2026	Root Locus	NG 7.1-7.3/DB 7.1-7.2	L22
L23/10-03-2026	Frequency Response Analysis	Og 7.1/NG 8.1-8.2	L23
L24/13-03-2026	Bode Plot	Og 7.2/NG 8.4	L24
L25/17-03-2026	Bode Plot	Og 7.2/NG 8.4	L25
L26/19-03-2026	Bode Plot and Stability Analysis	Og 7.2/NG 8.4	L26
L27/24-03-2026	Stability Analysis, Polar Plot	Og 7.3/NG 8.3	L27
L28/25-03-2026	Polar Plot	Og 7.3/NG 8.3	L28
L29/27-03-2026	Nyquist Plot	Og 7.5-7.6/NG 9.1-9.3	L29
L30/02-04-2026	Nyquist Plot	Og 7.5-7.6/NG 9.1-9.3	L30
L31/07-04-2026	Nyquist Plot	Og 7.5-7.6/NG NG 9.1-9.4	L31
L32/10-04-2026	Controller Design - Loop shaping	Lecture Note	L32
L33/15-04-2026	Controller Design - Loop shaping (cont)	Lecture Note	L33
L34/16-04-2026	Controller Design - Loop shaping (cont)	Lecture Note	L34
L35/17-04-2026	Compensator design using MATLAB		L35
L36/18-04-2026	Compensator design using Root locus	DB 10.5,10.7	L36
L37/21-04-2026	Compensator design using Root locus	DB 10.5,10.7	L37
L38/21-04-2026	Compensator design using Root locus AND doubt clearing session	DB 10.5,10.7	L38
L39/22-04-2026	Introduction to state-space framework	DB 3.1-3.3	L39

[Og] K. Ogata, Modern Control Engineering, 5th ed. Pearson, 2010
[NG] I. J. Nagrath and M. Gopal, Control Systems Engineering, 5th ed. New Age International, 2009
[DB] R. C. Dorf and R H Bishop, Modern Control Systems, 14th ed, Pearson, 2016
[Wo] W. A. Wolovich, Automatic Control Systems: Basic Analysis and Design, Oxford University Press, 2011

Additional Readings

Do visit https://controlcartoons.com/ to get a comic exposure to control systems.
A great expository article on why and what to read from Classical Control System-> Bernstein, D.S.,A student's guide to classical control. IEEE Control Systems Magazine, 17(4), pp.96-100, 1997.
A brief article on DC Motor to help in modeling -> Brief intro to DC Motor
A brief article on Open-Loop Control System and Closed-Loop Control System -> Feedback does not mean Closed-Loop Control Systems
A magazine article on understanding Laplace Transform closely in context to Control System -> Lundberg, K. H., Miller, H. R., & Trumper, D. L., Initial conditions, generalized functions, and the Laplace transform troubles at the origin. IEEE Control Systems Magazine, 27(1), pp. 22-35, 2007
A historical piece on "Origin of Stability Analysis" -> Kang, C. G., Origin of Stability Analysis:" On Governors" by JC Maxwell [Historical Perspectives]. IEEE Control Systems Magazine, 36(5), pp.77-88, 2016.
A great article on effect of zeros on time-response -> Hoagg, J.B. and Bernstein, D.S., Nonminimum-phase zeros-much to do about nothing-classical control-revisited part II. IEEE Control Systems Magazine, 27(3), pp.45-57, 2007.
A comprehensive article on PID controller -> Li, Y., Ang, K.H. and Chong, G.C., PID control system analysis and design. IEEE Control Systems Magazine, 26(1), pp.32-41, 2006.
A interesting article on Nyquist plots -> Emami-Naeini, A., The shapes of Nyquist plots [lecture notes]. IEEE Control Systems Magazine, 29(5), pp.102-115, 2009.
A interesting article on Loop shaping design tradeoff -> Boulet, B. and Duan, Y., The fundamental tradeoff between performance and robustness-a new perspective on loop shaping-classic control revisited part II. IEEE Control Systems Magazine, 27(3), pp.30-44, 2007.