COURSE OBJECTIVES :
- To introduce the components and their representation of control systems
- To learn various methods for analyzing the time response, frequency response and stability of the
- To learn the various approach for the state variable analysis.
UNIT I SYSTEMS COMPONENTS AND THEIR REPRESENTATION 9
Control System: Terminology and Basic Structure-Feed forward and Feedback control theory- Electrical and Mechanical Transfer Function Models-Block diagram Models-Signal flow graphs models-DC and AC servo Systems-Synchronous -Multivariable control system
UNIT II TIME RESPONSE ANALYSIS 9
Transient response-steady state response-Measures of performance of the standard first order and second order system-effect on an additional zero and an additional pole-steady error constant and system- type number-PID control-Analytical design for PD, PI,PID control systems
UNIT III FREQUENCY RESPONSE AND SYSTEM ANALYSIS 9
Closed loop frequency response-Performance specification in frequency domain-Frequency response of standard second order system- Bode Plot – Polar Plot- Nyquist plots-Design of compensators using Bode plots-Cascade lead compensation-Cascade lag compensation-Cascade lag-lead compensation
UNIT IV CONCEPTS OF STABILITY ANALYSIS 9
Concept of stability-Bounded – Input Bounded – Output stability-Routh stability criterion-Relative stability-Root locus concept-Guidelines for sketching root locus-Nyquist stability criterion.
UNIT V CONTROL SYSTEM ANALYSIS USING STATE VARIABLE METHODS 9
State variable representation-Conversion of state variable models to transfer functions-Conversion of transfer functions to state variable models-Solution of state equations-Concepts of Controllability and Observability-Stability of linear systems-Equivalence between transfer function and state variable representations-State variable analysis of digital control system-Digital control design using state feedback.
COURSE OUTCOMES :
Upon successful completion of the course the student will be able to
CO1: Compute the transfer function of different physical systems.
CO2: Analyse the time domain specification and calculate the steady state error.
CO3: Illustrate the frequency response characteristics of open loop and closed loop system response.
CO4: Analyse the stability using Routh and root locus techniques.
CO5: Illustrate the state space model of a physical system and discuss the concepts of sampled data control system.
- M.Gopal,“Control System – Principles and Design”, Tata McGraw Hill, 4th Edition, 2012.
- Nagrath and M.Gopal, “Control System Engineering”, New Age International Publishers, 5th Edition, 2007.
- Ogata, “Modern Control Engineering”, PHI, 5th Edition, 2012.
- K.Bhattacharya, “Control System Engineering”, Pearson, 3rd Edition, 2013.
- C.Kuo, “Automatic Control Systems”, Prentice Hall of India, 7th Edition,1995.