Fixed-order controller design for frequency weighted problems-a coprime factorization and LMI approach

2002 ◽  
Author(s):  
S. Miyamoto ◽  
G. Vinnicombe
Keyword(s):  
Controller Design ◽  
Lmi Approach ◽  
Coprime Factorization ◽  
Fixed Order

scholarly journals Fixed-Order Controller Design for Polytopic Systems Using LMIs

2008 ◽  
Vol 53 (1) ◽  
pp. 428-434 ◽  
Author(s):  
Hamid Khatibi ◽  
Alireza Karimi ◽  
Roland Longchamp
Keyword(s):  
Controller Design ◽  
Fixed Order ◽  
Polytopic Systems

Robust PID controller design via LMI approach

2002 ◽  
Vol 12 (1) ◽  
pp. 3-13 ◽  
Author(s):  
Ming Ge ◽  
Min-Sen Chiu ◽  
Qing-Guo Wang
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Lmi Approach ◽  
Pid Controller Design

Fixed-order ℋ∞ controller design for MIMO systems via polynomial approach

2018 ◽  
Vol 41 (7) ◽  
pp. 1985-1992 ◽  
Author(s):  
Bilal Erol ◽  
Akın Delibaşı
Keyword(s):  
Traditional Method ◽  
Controller Design ◽  
Mimo Systems ◽  
Linear Matrix ◽  
Main Difficulty ◽  
Matrix Inequalities ◽  
Central Polynomial ◽  
Fixed Order ◽  
Inner Approximation ◽  
Associated Solution

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.

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