Solution of Linear System Theory and Design by Chen
Course layout
Week 1: Introduction to Linear systems with Examples Week 2: Math Preliminaries I - Vector Spaces, Bases, Coordinate Transformation, Invariant Subspaces, Inner product, Norms Week 3: Math Preliminaries II - Rank, Types of Matrices, Eigen values, Eigen vectors, Diagonalization, Matrix Factorization Week 4: State Transition Matrix, Solutions to LTI Systems, Solutions to LTV Systems Week 5: Equilibrium points, Linearization, Types of Linearization with Examples Week 6: Stability, Types of Stability, Lyapunov Equation Week 7: Controllability, Reachability, Stabilizability, Tests, Controllable and Reachable Subspaces, Grammians, Controllable Decomposition Week 8: Observability, Constructibility, Detectability, Tests, Subspaces, Grammians, State Estimation, Observable Decomposition Week 9: Kalman Decomposition, Pole Placement, Controller Design Week 10: Observer Design, Duality, Minimal Realization Week 11: Basics of Optimal Control, LQR, Ricatti Equation Week 12: LMIs in Control Thanks to the support from MathWorks, enrolled students have access to MATLAB for the duration of the course.
Books and references
1. Linear Algebra and its Applications by Gilbert Strang 2. Linear Systems Theory by J.H.Hespanha 3. Linear System Theory and Design by C.T.Chen 4. Introduction to Dynamic Systems by D.G. Luenberger 5. Linear Systems by P. Antsaklis and Anthony N. Michel
Instructor bio
Prof. Ramkrishna Pasumarthy
IIT Madras
Ramkrishna Pasumarthy is an Associate Professor at the Dept. of Electrical Engineering, IIT Madras. He obtained his PhD in Systems and Control at the University of Twente, The Netherlands and held postdoc positions at the University of Melbourne and UCLA. He held visiting positions at Stanford University. His research interests are in the areas of network science with applications to power, traffic cloud and brain networks. also associated with the Robert Bosch Center for Data Sciences and Artificial Intelligence at IIT Madras. He also has interests in medical wearable devices and is a co funder of a start up iMov Motion Tech pvt. ltd. incubated at IITM Research Park
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. 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. 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
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 23 October 2021 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.
Exam score = 75% of the proctored certification exam score out of 100
Solution of Linear System Theory and Design by Chen
Source: https://onlinecourses.nptel.ac.in/noc21_ee113/preview