System Identification
Lecture Notes
LEC # |
TOPICS |
1 |
Review of Linear Systems, Review of Stochastic Processes, Defining a General Framework (PDF) |
2 |
Review of Linear Systems, Review of Stochastic Processes, Defining a General Framework (cont.) |
3 |
Introductory Examples for System Identification (PDF) |
4 |
Introductory Examples for System Identification (cont.) |
5 |
Nonparametric Identification (PDF) |
6 |
Nonparametric Identification (cont.) |
7 |
Input Design, Persistence of Excitation, Pseudo-random Sequences (PDF) |
8 |
Input Design, Persistence of Excitation, Pseudo-random Sequences (cont.) |
9 |
Least Squares, Statistical Properties (PDF) |
10 |
Least Squares, Statistical Properties (cont.) |
11 |
Parametrized Model Structures, One-step Predictor, Identifiability (PDF) |
12 |
Parametrized Model Structures, One-step Predictor, Identifiability (cont.) |
13 |
Parameter Estimation Methods, Minimum Prediction Error Paradigm, Maximum Likelihood (PDF) |
14 |
Parameter Estimation Methods, Minimum Prediction Error Paradigm, Maximum Likelihood (cont.) |
15 |
Convergence and Consistency, Informative Data, Convergence to the True Parameters (PDF) |
16 |
Convergence and Consistency, Informative Data, Convergence to the True parameters (cont.) |
17 |
Asymptotic Distribution of PEM (PDF) |
18 |
Asymptotic Distribution of PEM (cont.) |
19 |
Instrumental Variable Methods, Identification in Closed Loop, Asymptotic Results (PDF) |
20 |
Instrumental Variable Methods, Identification in Closed Loop, Asymptotic Results (cont.) |
21 |
Computation, Levinson Algorithm, Recursive Estimation (PDF) |
22 |
Computation, Levinson Algorithm, Recursive Estimation (cont.) |
23 |
Identification in Practice, Error Filtering, Order Estimation, Model Structure Validation, Examples (PDF - 1.7 MB) |
24 |
Identification in Practice, Error Filtering, Order Estimation, Model Structure Validation, Examples (cont.) |
Assignments
ASSIGNMENTS |
SOLUTIONS |
Problem Set 1 (PDF) |
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Problem Set 2 (PDF) |
(PDF) |
Problem Set 3 (PDF) |
(PDF) |
Problem Set 4 (PDF) |
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Problem Set 5 (PDF) |
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