安定性を考慮した周波数領域での部分的モデルマッチング手法による多変数PID制御系設計(機械力学,計測,自動制御)
| Autor: | Kazuki Eguchi, Zenta Iwai, Ikuro Mizumoto, Yohei Shimada |
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| Rok vydání: | 2005 |
| Předmět: |
Mathematical optimization
Partial Model Matching Mechanical Engineering Multivariable calculus MathematicsofComputing_NUMERICALANALYSIS PID controller Stability (probability) Transfer function Industrial and Manufacturing Engineering Frequency Domain Mechanics of Materials Control theory Gershgorin Theorem Frequency domain Control system Systems design PID Control Multivariable Control Reference model Mathematics |
| Zdroj: | TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C. 71:1284-1291 |
| ISSN: | 1884-8354 0387-5024 |
| DOI: | 10.1299/kikaic.71.1284 |
| Popis: | In this paper, a tuning method of multivariable PID controllers based on partial model matching on frequency domain is proposed. Different from the previous methods which were considered by authors, in this case, determination of multivariable PID controller parameters is defined as a nonlinear optimization problem with inequality constraints. In this procedure, the objective function is constructed so as to minimize the relative frequency model error between the loop transfer function of the control system and that of reference model system at finite frequency points. Inequality constraints are introduced so as to guarantee the stability criteria of multivariable control system given in Rosenbrock's stability theorem. The effectiveness of the method is illustrated through a simulation of 2-input 2-output system. |
| Databáze: | OpenAIRE |
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