Minor Program

   Minor is an additional credential a student may earn if s/he does 30 credits worth of additional learning in a discipline OTHER THAN her/his MAJOR DISCIPLINE of B.Tech. degree.

Only those students who have successfully completed the first 3 core courses (201, 202 and 301) are eligible to register for the other SysCon (SC) courses listed as minor courses

Minor program out-line

3 core courses: Semesters 3, 4 and 5.

  1. SC 201 (Semester 3) - Mathematical structures for systems and control
    Pre-requisite: None.

    Content: Groups (definition, matrix groups - GL(n,R), SO(3), SE(3), the commutator, the Lie algebras so(3) and se(3), applications: robotics, aerospace problems), vector spaces ( definition, linear dependence, basis, subspaces, dual spaces, linear transformations, matrix representations, similarity transformations, eigen values, applications: control and signal processing) and, elements of differential geometry (n-surfaces in Euclidean space, tangent vectors, vector fields, co-vector elds, geodesics, covariant derivative, applications: robotics, dynamical systems and control.)

    Textbooks:
    1. Finite Dimensional Vector Spaces - P. R. Halmos, Springer 1984
    2. Elementary Topics in Differential Geometry - J. A. Thorpe, Springer 1979.

  2. SC 202 (Semester 4) - Signals and feedback systems
    Pre-requisite: SC 201

    Content: Signals and systems and their interconnections, convolution, differential and difference equations, state variable models, Fourier, Laplace and z-transforms, regions of convergence, the transfer function, linear feedback systems, the stability problem, the Routh-Hurwitz and root locus method.

    Textbook:
    1. Signals and Systems - S. Haykin and B. Van Veen, John Wiley, 2003.
    2. Signals and Systems - A. V. Oppenheim and A. S. Willsky, Prentice Hall, 1996.

  3. SC 301 (Semester 5) - Linear and nonlinear systems

    Pre-requisite: SC 201 and 202.

    Content: Linear state-space models, solutions, controllability, observability, state-feedback (both continuous and discrete domain.) Nonlinear state-space models, phase plane diagrams, existence and uniqueness of solutions, Lyapunov stability.

    Textbook:
    1. Linear Systems Theory - C .T. Chen,
    2. Nonlinear Systems - H. Khalil, Prentice Hall, 2002.



    2 elective courses from the list attached: Semesters 6, 7 and 8.
    (This list is not exhaustive and we propose to include a few more.)

      1. SC 627 - Motion Planning and Coordination of Autonomous Vehicles
      2. SC 624 - Differential Geometric Methods in Control
      3. SC 613 - Multivariable Control Systems
      4. SC 700 - Embedded Control Systems
      5. SC 602 - Control of Nonlinear Dynamical Systems
      6. SC 605 - Optimization-based Control of Stochastic Systems
      7. SC 607 - Optimization
      8. SC 612 - Introduction to Linear Filtering and Beyond
      9. SC 616 - Large Scale Systems
    10. SC 617 - Adaptive Control Theory
    11. SC 623 - Optimal and Robust Control
    12. CL 692 - Digital Control
    13. CL 686 - Advanced Process Control
    14. EE 640 - Multivariable Control Systems
    15. EE 636 - Matrix Computations
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