6EE1 MODERN CONTROL THEORY

Unit-1 Introduction: Concept of Linear vector space Linear Independence, Bases & Representation, domain and range. Concept of Linearity, relaxedness, time invariance, causality.
Unit-2 State Space Approach of Control System Analysis: Modern Vs conventional control theory, concept of state, state variable state vector, state space, state space equations, Writing statespace equations of mechanical, Electrical systems, Analogous systems.
Unit-3 State Space Representation using physical and phase variables, comparison form of system representation. Block diagram representation of state model. Signal flow graph representation. State space representation using canonical variables. Diagonal matrix. Jordan canonical form, Derivation of transfer functions from state-model.
Unit-4 Solution of State Equations: Diagonalization, Eigenvalues and eigen vectors. Matrix exponential, State transition matrix, Properties of state transition matrix. Computation of State transition matrix concepts of controllability & observability. Pole placement by state feedback, Ackerman’s formula
Unit-5 Digital Control Systems: Introduction, sampled data control systems, signal reconstruction, difference equations. The z-transform, Z-Transfer Function. Block diagram analysis of sampled data systems, z and s domain relationship, digital PID controller

Reference/Suggested Books
1. I J Nagrath and M Gopal: Control Systems Engineering, 3rd Ed, New Age Publication.
2. Richard C Dorf, Robert H Bishop : Modern Control Systems, Prentice-Hall
3. M. GOPAL:Digital Control and State Variable Methods , TMH
4. B.C.Kuo, “Digital Control System”,Saunders College Publishing.
5. C.H. Houpis and G.B.Lamont, “Digital Control Systems:MGH
6. Donald E. Kiv, “Optimal Control Theory: An Introduction” Prentice Hall
7. D.Roy Choudhary, “Modern Control Engineering”, Prentice Hall of India
8. C T Chen, System Theory & Design, Oxford University Press