Control systems
Module 5
syllabus
State Variable Analysis of Linear Dynamic Systems, State variables, state equations, State variable representation of electrical and mechanical systems, Dynamic equations, merits for higher order differential equations and solution, Transfer function from State Variable Representation, Solutions of the state equations, state transition matrix, Concept of controllability and observability and techniques to test them - Kalman’s Test, Simulation
Video Lectures
Introduction to state space analysis in control systems | CS - Module 5 | Lect 72
Topics covered
Introduction to state space analysis in control systems
Advantages of state space analysis
State model representation of control systems | CS - Module 5 | Lect 73
Topics covered
Introduction to state model
state equation
state model of linear system
Representation of state transition matrix in control system | CS - Module 5 | Lect 74
Topics covered
Introduction to state transition matrix
representation of state transition matrix
State transition matrix Problem 1 | CS - Module 5 | Lect 75
Topics covered
Q1) Determine the state transition matrix of given model
State transition matrix - Problem 2 | CS - Module 5 | Lect 76
Topics covered
Q2) Determine the state transition matrix of given model
State variable representation of electrical system | CS - Module 5 | Lect 77
Topics covered
Q) Obtain the state model of the electrical network shown in figure by choosing V1(t) and V2(t) as state variable
State variable representation of Mechanical system | CS - Module 5 | Lect 78
Topics covered
Q) Construct the state model of mechanical system shown in figure
Controllability & Observability in control system | Kalman's Test | CS - Module 5 | Lect 79
Topics covered
Concept of controllability and observability
Kalman's test of controllability
Kalman's test for observability
Block diagram testing for controllability and observability - Problem | CS - Module 5 | Lect 80
Topics covered
00:00 - State equation representation of block diagram
08:37 - Controllability and observability testing using Kalman's testing