Basic elements in control systems – Open and closed loop systems – Mathematical modelling of electrical and mechanical systems – analogous systems – Transfer function – Synchros – AC and DC servomotors – Block diagram reduction techniques – Signal flow graphs
Time response - Types of test input - I and II order system response - Time domain specifications – Error coefficients – Generalized error series – Steady state error – Routh Hurwitz stability criterion – Root locus construction
Frequency domain Specifications – Bode plot – Polar plot – Determination of closed loop response from open loop response – Correlation between frequency domain and time domain specifications - Nyquist stability criterion
Basic Compensators – Lag, lead and lag-lead compensators – Lag / Lead compensator design using bode plots – Controllers - P, PI and PID control modes.
Concepts of state variable and state model - Solution of State equation - State space to transfer function conversion - state transition matrix - concepts of controllability and observability - Pole placement control - Observers design.
Reference Book:
1 K. Ogata, ‘Modern Control Engineering’, 5th edition, PHI, New Delhi, 2016. 2 R.C.Dorf & R.H. Bishop, ‘Modern Control Systems’, 13th Edition, Pearson, 2017. 3 A.Nagoor Kani, ‘Control Systems’ , RBA Publication, 2020. 4 M. Gopal, ‘Control Systems, Principles and Design’, Tata McGraw Hill, New Delhi, 2012. 5 M.Gopal, “Modern Control System Theory”, Newage International, 2010.
Text Book:
1 I.J. Nagrath and M. Gopal, ‘Control Systems Engineering’, New Age International Publishers, 7th Edition, 2021. 2. Farid Glnaraghi, Benjamin C. Kuo, ‘Automatic Control systems’, 9th Edition, McGraw-Hill Education, 2017.