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