ABOUT THE COURSE: This course will be a PG level course to be offered e.g. to first year MTech and PhD students in Electrical and Chemical Engineering. Following topics are intended to be covered in this course:Concept of state variable, output variable and input variable Standard state-space representation of dynamic systems Mathematical Modeling of dynamic systems from first principles and representation into standard state-space form Solution of state-equations, Simulation Representation of Transfer Function into canonical state-space forms Controllability, Observability; Methods of Controllability and observability test, Controllability sub-space, Observability sub-space, Stabilizability Canonical decomposition Lyapunov stability State & Output Feedback, Observer Design, Introduction to State estimation usingKalman filterMultirate output feedbackCase studies: (1) CSTR (2) Nuclear ReactorOutcome: One can learn and develop the following competence after undergoing thiscourse:• to express mathematical models of physical systems into the standard state spaceform,• explore the open loop characteristics by obtaining the solution of state equations,• assess the controllability, observability and stability properties,• design of controllers based on output and state feedback techniques andimplementation of the same using the states estimated by an observer/state estimator,• design of controllers based on multirate output feedback techniquesINTENDED AUDIENCE: Students, Research scholars seeking advanced knowledge/ pursuing research in the area of Control and EstimationPREREQUISITES: Basic course in Control Systems theoryINDUSTRY SUPPORT: Useful for Avionics/Space, Nuclear, Chemical industries and R&D institutions engaged in research in such sectors
State space Approach to Control System Analysis and Design
Indian Institute of Technology Mandi and NPTEL via Swayam
Overview
Syllabus
Week 1: Concept of state variable, output variable(s) and input variable(s); Standard state-space representation of dynamic systems; Mathematical Modeling of dynamic systems from first principles and representation into standard state-space form with examples
Week 2:Representation of Transfer Function into canonical state-space forms
Week 3:Solution of state-equations, State-transition Matrix (STM), Methods to determine the STM
Week 4:Simulation, Numerical solution of Linear and Nonlinear State equations
Week 5:Controllability, Observability; Methods of Controllability and observability test
Week 6:Controllability sub-space, Observability sub-space, Stabilizability, Canonical decomposition
Week 7:Lyapunov stability
Week 8:Concept of State & Output Feedback, Compensator design, Pole-placement design, Linear Quadratic Regulator Design
Week 9:Multirate output feedback: Design of Periodic Output Feedback and Fast Output Sampling Controllers
Week 10:Full order and Reduced order Observer Design
Week 11:State Estimation: Introduction to Kalman filter as optimal observer and Examples of applications of Kalman filter
Week 12:Case-studies: Nuclear Reactor and CSTR (if time permits)
Week 2:Representation of Transfer Function into canonical state-space forms
Week 3:Solution of state-equations, State-transition Matrix (STM), Methods to determine the STM
Week 4:Simulation, Numerical solution of Linear and Nonlinear State equations
Week 5:Controllability, Observability; Methods of Controllability and observability test
Week 6:Controllability sub-space, Observability sub-space, Stabilizability, Canonical decomposition
Week 7:Lyapunov stability
Week 8:Concept of State & Output Feedback, Compensator design, Pole-placement design, Linear Quadratic Regulator Design
Week 9:Multirate output feedback: Design of Periodic Output Feedback and Fast Output Sampling Controllers
Week 10:Full order and Reduced order Observer Design
Week 11:State Estimation: Introduction to Kalman filter as optimal observer and Examples of applications of Kalman filter
Week 12:Case-studies: Nuclear Reactor and CSTR (if time permits)
Taught by
Prof. A P Tiwari
