4773

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Глава в книге

Название: 

Chapter 10 "LQ and H2 Tuning of Fixed-Structure Controller for Continuous Time Invariant System With H∞ Constraints"

ISBN/ISSN: 

978-953-7619-05-3

Наименование источника: 

  • Systems Structure and Control

Город: 

  • Вена

Издательство: 

  • I-Tech Education and Publishing

Год издания: 

2008

Страницы: 

207-230
Аннотация
The problem of fixed-structure controller tuning formulated in terms of quadratic optimiza-tion was solved in (Yadykin, 1985). It results in classic least-squares method of controller tuning algorithm synthesis. This approach is based on application of indirect adaptive con-trol with implicit reference model of linear plant (also called internal model control). The principal distinction of this approach from other methods mentioned before consists in that the adjusted system performance is given directly by fixed parameters of the implicit reference model. Criterion of proximity for dynamic characteristics of the adjusted control system and its reference model can be expressed in terms of Frobenius norm for coefficients of polynomials generated by transfer functions of the control system and its reference model. The main idea of introduced new approach consists in replacement of the aforementioned tuning functional by H2 norm of difference between transfer functions of closed-loop ad-justed and reference systems and switching from unconstrained optimization to optimization under constraints in form of LMIs guaranteeing bounded H∞ norm of transfer function of closed-loop system. By virtue of Parseval’s Theorem, it is the H2 norm of difference between transfer functions of closed-loop adjusted and reference systems gives direct estima-tion of difference between transients in closed-loop adjusted and reference systems. Thus, the tuning objective consists in providing the adjusted system with performance of the reference model.

Библиографическая ссылка: 

Ядыкин И.Б., Чайковский М.М. Chapter 10 "LQ and H2 Tuning of Fixed-Structure Controller for Continuous Time Invariant System With H∞ Constraints" / Systems Structure and Control. Вена: I-Tech Education and Publishing, 2008. С. 207-230.