Syllabus Control Systems - (BE05009011) Total Credits = TH/30 Assessment Pattern and Marks Total Marks Theory Tutorial / Practical ESE(E) PA(M) PA (I) PBL (I) ESE (V) 4 70 30 20 30 50 200 Sr. No. Content 1. Introduction and modelling of control system : Brief history of control systems, Open and close loop systems - its elements and comparison. Concept of transfer function, mathematical modelling of mechanical (translational and rotational) and electrical system, analogous system, force voltage and force current analogy, mechanical equivalent network, transfer function of some basic components like gear trains, armature and field controlled dc servomotor etc. Concept of block diagram representation, block diagram reduction techniques and its application, Signal flow graph representation, Mason’s formula and its application. (Chapters - 1, 3, 4, 5, 6) 2. Time response analysis : Introduction to transient and steady state response, standard test signals, concept of “Order” and “Type” of system, time response of first and second order system for standard test input signals, concept of underdamped, undamped, critically damped and over damped system, transient response specifications for second order underdamped system such as rise time, peak time, settling time, max overshoot etc, their concept, derivation and application. Significance of damping ratio and undamped natural frequency of oscillation. Concept of steady state error, static error constants, its formulas and determination for Type 0, 1 and 2 systems. (Chapter - 7) 3. Concept of stability and root locus techniques : Concept of BIBO stability, necessary condition for stability, Routh stability criterion, its special cases, concept of relative stability in reference to Routh criterion. The root locus concept, rules to construct root locus plot and its application to sketch root locus plots. (Chapters - 8, 9) 4. Frequency response analysis : Concept and advantages of frequency response, frequency domain plots, procedure to sketch polar plot, phase margin, gain margin from polar plot, Nyquist stability criterion. Bode plots of minimum and non-minimum phase systems, determination of gain margin, phase margin, stability and static error constants from Bode plots. Frequency response of a closed loop system. (Chapters - 10, 11) 5. Basics of controllers and compensation techniques : Proportional, Integral and Derivative control actions, effects of P,PI,PD and PID controllers, Types of compensation techniques, Phase lead and lag compensation and its effects. (Chapter - 12) 6. Introduction to state space analysis : Advantages of state space analysis, terminology related to state space analysis, State space representation of basic electrical and mechanical systems, Correlation of state space with transfer function, State transition matrix, its properties and computation methods, solution of state equations, basic concept of controllability and observability. (Chapter - 13)
