The major themes of this course are estimation and control of dynamic systems. Preliminary topics begin with reviews of probability and random variables. Next, classical and state-space descriptions of random processes and their propagation through linear systems are introduced, followed by frequency domain design of filters and compensators. And Kalman filter is employed to estimate the states of dynamic systems will be discussed.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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Course Credit: MIT
Course Curriculum
| Module 01 | |||
| Introduction | 00:20:00 | ||
| Independence | 00:20:00 | ||
| Expectation, Averages and Characteristic Function | 00:15:00 | ||
| Correlation, Covariance, and Orthogonality | 00:15:00 | ||
| Some Common Distributions | 00:15:00 | ||
| More Common Distributions | 00:10:00 | ||
| Linearized Error Propagation | 00:15:00 | ||
| More Linearized Error Propagation | 00:10:00 | ||
| Concept of a Random Process | 00:15:00 | ||
| Autocorrelation Function | 00:10:00 | ||
| Power Spectral Density Function | 00:15:00 | ||
| Gauss-Markov Process | 00:15:00 | ||
| Module 02 | |||
| Determination of Autocorrelation | 00:15:00 | ||
| Introduction: The Analysis Problem | 00:15:00 | ||
| Pure White Noise and Bandlimited Systems | 00:10:00 | ||
| Nonstationary (Transient) Analysis – Initial Condition Response | 00:15:00 | ||
| The Wiener Filter Problem | 00:10:00 | ||
| Orthogonality | 00:10:00 | ||
| Complementary Filter | 00:10:00 | ||
| Estimation | 00:10:00 | ||
| Markov Processes | 00:10:00 | ||
| State Space Description | 00:15:00 | ||
| Monte Carlo Simulation of Discrete-Time Systems | 00:10:00 | ||
| Transition from the Discrete to Continuous Filter Equations | 00:10:00 | ||
| Divergence Problems | 00:15:00 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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