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Estimation of unknown time-varying driving matrix and it's application to learning control

Memoirs of the Faculty of Engineering, Yamaguchi University Volume 19 Issue 3 Page 31-36
published_at 1969-03
KJ00000155713.pdf
[fulltext] 393 KB
Title
未知時変駆動行列の推定とその学習制御への応用
Estimation of unknown time-varying driving matrix and it's application to learning control
Creators Kawazoe Yasuhiro
Source Identifiers
The problem of estimating state variables and unknown parameters is considered for discrete-time control system of random disturbances and measurement noise. Where, elements of a time-varying driving matrix are considered as unknown parameters. Making use of the fact that a time-varying function is able to be expanded into a polynomial for time, the author expanded unknown elements of a driving matrix into a polynomial for time. Then, estimating constants of a polynomial for time was intended, instead of estimating driving matrix. Estimating them, we can calculate an estimated value of the driving matrix. To estimate state variables and constants of a polynomial with respect to a driving matrix, the author constituted a new joint vector with them. After transforming the state transition equation and observation equation into a new transition equation and an observation equation for a joint vector, Kalman filter was adapted to estimate an unknown joint vector. As an application, a learning control was discussed to be optimized with respect to a quadratic criterion function with the aid of dynamic programming method.
Languages jpn
Resource Type departmental bulletin paper
Publishers 山口大学工学部
Date Issued 1969-03
File Version Version of Record
Access Rights open access
Relations
[ISSN]0372-7661
[NCID]AN00244228
Schools 工学部