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Course Detail

Course Name Advanced Control Systems
Course Code 15EEE330
Program B. Tech. in Electrical and Electronics Engineering
Credits Campus: Bengaluru, Coimbatore, Amritapuri
Year Taught 2015
Year Taught 2016
Year Taught 2017
Year Taught 2018


Unit 1

State Variable Analysis and Design: Introduction, concept of state, state variables and state model, state modeling of linear systems, linearization of state equations. State space representation using physical variables, phase variables & canonical variables.

Unit 2

Derivation of transfer function from state model, diagolization, Eigen values, Eigen vectors, generalized Eigen vectors. Solution of state equation, state transition matrix and its properties, computation using Laplace transformation, power series method, Cayley-Hamilton method, concept of controllability & observability, methods of determining the same.

Unit 3

Pole Placement Techniques: stability improvements by state feedback, necessary & sufficient conditions for arbitrary pole placement, state regulator design, and design of state observer, Controllers- P, PI, PID. Non-linear systems: Introduction, behavior of non-linear system, common physical non-linearity-saturation, friction, backlash, dead zone, relay, multi-variable non-linearity.

Phase plane method, singular points, stability of nonlinear system, limit cycles, construction of phase trajectories. Liapunov stability criteria.

Text Books

  • Ogata. Modern Control Engineering. Fifth edition, Prentice Hall of India, 2009.


  • Franklin and Powell. Feedback Control of Dynamics Systems. Addison-Wesley.
  • Di Stefano. Feedback Control Systems. Schaum’s outline Series, McGraw Hill, 1967
  • Luenberger. Introduction to Dynamic Systems. Wiley. 1979
  • Richard C. Dorf and Robert H. Bishop, “Modern Control Systems”, Eleventh Edition, Prentice Hall, Pearson Education, 2008.

‘Advanced Control Systems’ is a course offered in the B. Tech. in Electrical and Electronics Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham

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