Modeling of Systems and Block diagram: Introduction to Control Systems, Types of Control Systems, with examples. Concept of mathematical modeling of physical systems- Mechanical,Translational (Mechanical accelerometer, systems excluded), andRotational systems, Analogous systems based on force voltageanalogy and force current analogy. Introduction to Block diagramalgebra. Numerical problems on all topics.
Signal Flow graph: Introduction to Signal Flow graph, Mason’sgain formula. Obtaining Transfer functions for the given SFG usingMason’s gain formula.
Time response analysis: Introduction. Standard test signals,response of first order & second order systems for unit step input.Steady state errors & Error constants. Numerical problems on alltopics.
Concepts of stability: The Concept of stability. Necessary conditions for stability. Hurwitz stability criterion. Routh stability criterion. Relative stability analysis using RH Criterion.
The Root Locus Technique: Introduction. Root locus concepts.Construction of root loci. Stability analysis using Root locusTechnique Numerical problems on all topics
Frequency domain Analysis: Introduction to frequency domainanalysis, Correlation between time & frequency response, Bodeplots.
Polar Plot: Introduction to Polar plot and Nyquist plots, Nyquiststability criterion. Stability analysis using Polar plot. Numericalproblems on all topics
State space Analysis: Concept of state, state variables and statemodel. State diagrams and State models for Linear continuous-timesystems (Electrical systems): State space representation usingPhysical and Phase variables. Derivation of transfer functions fromthe state model. Numerical problems on all topics.
Solution of state equations: Solutions of homogeneous and Nonhomogeneousstate equations. Properties of state transition matrix,computation of state transition matrix by matrix exponential andLaplace transform method. Numerical problems