central polynomial
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2018 ◽  
Vol 41 (7) ◽  
pp. 1985-1992 ◽  
Author(s):  
Bilal Erol ◽  
Akın Delibaşı

This paper presents a fixed-order [Formula: see text]∞ controller design based on linear matrix inequalities for multi-input–multi-output systems. The main difficulty in the development of a fixed-order controller design is that the associated solution set of the problem is defined in a non-convex cluster, and that makes the problem computationally intractable. The convex inner approximation is used to deal with this non-convexity. The proposed controller design approach is applied to some elegant numerical problems taken from various previous works. To show the effectiveness of the proposed method, the full-order [Formula: see text]∞ controller and fixed-order controllers are constructed for these models using the traditional method and popular toolboxes, respectively. Furthermore, in this paper, some strategies for choosing the central polynomial, which is the main conservatism of the proposed method, are discussed.


2008 ◽  
Vol 15 ◽  
pp. 737-740 ◽  
Author(s):  
John McKernan ◽  
Mahbub Gani ◽  
Didier Henrion ◽  
Fuwen Yang

1994 ◽  
Vol 168 (2) ◽  
pp. 469-478 ◽  
Author(s):  
V. Drensky ◽  
G.M.P. Cattaneo

1985 ◽  
Vol 13 (3) ◽  
pp. 745-752 ◽  
Author(s):  
Vesselin Drensky ◽  
Azniv Kasparian
Keyword(s):  

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