Reduced order modelling and control of two-time-scale discrete systems†

Autor:	R G Phillips
Rok vydání:	1980
Předmět:	Property (programming) Computer Science Applications law.invention Reduced order Dual (category theory) Boundary layer Invertible matrix Control and Systems Engineering Control theory law Applied mathematics Control (linguistics) Eigenvalues and eigenvectors Mathematics Block (data storage)
Zdroj:	International Journal of Control. 31:765-780
ISSN:	1366-5820 0020-7179
DOI:	10.1080/00207178008961081
Popis:	A class of linear shift-invariant discrete systems satisfying a two-time-scale property is defined and a model satisfying this property is given. A pair of explicitly invertible block diagonalizing transformations are used to obtain reduced order fast and slow models analogous to the continuous singularly perturbed case. A deadbeat approximation to the fast modes results in a reduced order slow model, and a ‘ boundary layer ’ error in the original fast states. For control law design, the dual nature of these block diagonalizing transformations allows partial or total eigenvalue placement for fast and/or slow modes based on feedback designs for the reduced order slow and fast models.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6273f731b24d1dad6b1cdff855db322e https://doi.org/10.1080/00207178008961081 Zobrazit plný text záznamu