State space Approach to Control System Analysis and Design

By Prof. A P Tiwari | IIT Mandi

Learners enrolled: 663 | Exam registration: 38

ABOUT THE COURSE:
This course will be a PG level course to be offered e.g. to first year MTech and PhD students in Electrical and Chemical Engineering. Following topics are intended to be covered in this course:
Concept of state variable, output variable and input variable Standard state-space representation of dynamic systems Mathematical Modeling of dynamic systems from first principles and representation into standard state-space form Solution of state-equations, Simulation Representation of Transfer Function into canonical state-space forms Controllability, Observability; Methods of Controllability and observability test, Controllability sub-space, Observability sub-space, Stabilizability Canonical decomposition Lyapunov stability State & Output Feedback, Observer Design, Introduction to State estimation using

Kalman filter

Multirate output feedback

Case studies: (1) CSTR (2) Nuclear Reactor

Outcome: One can learn and develop the following competence after undergoing this

course:

• to express mathematical models of physical systems into the standard state space

form,

• explore the open loop characteristics by obtaining the solution of state equations,

• assess the controllability, observability and stability properties,

• design of controllers based on output and state feedback techniques and

implementation of the same using the states estimated by an observer/state estimator,

• design of controllers based on multirate output feedback techniques

INTENDED AUDIENCE: Students, Research scholars seeking advanced knowledge/ pursuing research in the area of Control and Estimation

PREREQUISITES: Basic course in Control Systems theory

INDUSTRY SUPPORT: Useful for Avionics/Space, Nuclear, Chemical industries and R&D institutions engaged in research in such sectors

Summary

Course Status :	Ongoing
Course Type :	Elective
Duration :	12 weeks
Category :	Electrical, Electronics and Communications Engineering Control and Instrumentation
Credit Points :	3
Level :	Postgraduate
Start Date :	22 Jan 2024
End Date :	12 Apr 2024
Enrollment Ends :	05 Feb 2024
Exam Registration Ends :	16 Feb 2024
Exam Date :	20 Apr 2024 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Concept of state variable, output variable(s) and input variable(s); Standard state-space representation of dynamic systems; Mathematical Modeling of dynamic systems from first principles and representation into standard state-space form with examples

Week 2: Representation of Transfer Function into canonical state-space forms

Week 3: Solution of state-equations, State-transition Matrix (STM), Methods to determine the STM

Week 4: Simulation, Numerical solution of Linear and Nonlinear State equations

Week 5: Controllability, Observability; Methods of Controllability and observability test

Week 6: Controllability sub-space, Observability sub-space, Stabilizability, Canonical decomposition

Week 7: Lyapunov stability

Week 8: Concept of State & Output Feedback, Compensator design, Pole-placement design, Linear Quadratic Regulator Design

Week 9: Multirate output feedback: Design of Periodic Output Feedback and Fast Output Sampling Controllers

Week 10: Full order and Reduced order Observer Design

Week 11: State Estimation: Introduction to Kalman filter as optimal observer and Examples of applications of Kalman filter

Week 12: Case-studies: Nuclear Reactor and CSTR (if time permits)

Books and references

B. Friedland, “Control System Design: An Introduction to State-Space Methods”

John D. Azzo and CH Houpis, “Linear Control System Analysis and Design: Conventional and Modern”

Norman S Nise, “Control Systems Engineering”

Chi-Tsong Chen, “Linear System Theory and Design”

Instructor bio

Prof. A P Tiwari

IIT Mandi

Prof. A P Tiwari is currently working as a Visiting Faculty at the Indian Institute of Technology Mandi. Earlier, he worked at Bhabha Atomic Research Centre, a Constituent Institution of the Homi Bhabha National Institute (a deemed to be University under section 3 of the UGC Act 1956) for more than 37 years. He has carried out research activities and projects in the areas of Control and Estimation with application to Small and Large Research and Power Nuclear Reactors. His work spans Mathematical Modelling, Simulation, and Control analysis and Design.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams: 20 April 2024 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.

Registration url: Announcements will be made when the registration form is open for registrations.

The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team