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16.31

Feedback Control Systems

3-1-8 units · Graduate

Graduate-level version of 16.30 ; see description under 16.30 . Includes additional homework questions, laboratory experiments, and a term project beyond 16.30 with a particular focus on the material associated with state-space realizations of MIMO transfer function (matrices); MIMO zeros, controllability, and observability; stochastic processes and estimation; limitations on performance; design and analysis of dynamic output feedback controllers; and robustness of multivariable control systems.

Fall 2010

Topics

  • Introduction
  • Basic root locus: analysis and examples
  • Frequency response methods
  • Control design using Bode plots
  • Introduction to state-space models
  • Developing state-space models based on transfer functions
  • State-space models: basic properties
  • System zeros and transfer function matrices
  • Midterm 1
  • State-space model features
  • Controllability
  • Full-state feedback control
  • Pole placement approach
  • LQ servo introduction
  • Open-loop and closed-loop estimators
  • Combined estimators and regulators
  • Adding reference inputs
  • LQ servo: improving transient performance
  • Midterm 2
  • Deterministic linear quadratic regulator (LQR)
  • Linear quadratic Gaussian (LQG)
  • Digital control basics
  • Systems with nonlinear functions
  • Analysis of nonlinear systems
  • Anti-windup
  • Closed-loop system analysis

Readings

Prerequisites & course information

Subject meets with 16.30 Prereq: 16.06 or permission of instructor G (Fall) 3-1-8 units

Sources