ME424 Modern Control and Estimation

  • Sep , 2021
ME424 Modern Control and Estimation

Course Information

Instructor:     Wei Zhang (
Time:              Monday 14:00-15:50 / Wednesday 10:20-12:10 (even week)
Location:       荔园 2 栋 201
TAs:                Yinghan Sun, Daifeng Li, Bowhen Shen


This course will introduce the students to the fundamental concepts and methods in modern control and estimation theory. Topics include state-space modeling of dynamical systems, least-square estimation and system identification, state-feedback and output-feedback controller design, observer design, linear quadratic regulators, and Kalman filter. The course will also connect these control and estimation methods to applications in robotics, mechanical, electrical, and aerospace systems.

Lecture Notes

  • Lecture 0: Course Information [PDF]
  • Lecture 1: Linear Algebra Review [PDF] [P3-update] [P1P2-notes] [P3-notes]
  • Linear independence, Vector space, Solution space of Ax = b, Inner product, Simple geometric sets, Quadratic sets

  • Lecture 2: State Space Models [PDF] [Notes]
  • State space models, From continuous to discrete time model, From nonlinear to linear model, Transfer function

  • Lecture 3: Least Squares and Basic System Identification [PDF] [Notes]
  • Least squares problem formulation, Solution to linear least square problems, Applications to System ID, Nonlinear least squares

  • Lecture 4: Stability, Controllability, and Observability [PDF]
  • State space solutions, Internal stability, Controllability, Observability, Invariance under similarity transformation


  • Tutorial 1: Python, Numpy and Matplotlib [file]
  • Tutorial 2: Read Files and Animation [file]
  • Tutorial 3: Solving Nonlinear Least Square Problems [file]

Homework and Projects


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