Fixed-structure controller synthesis for real and complex multiple block-structured uncertainty

2002 ◽  
Author(s):  
J.R. Corrado ◽  
W.M. Haddad ◽  
V. Chellaboina
Keyword(s):  
Controller Synthesis ◽  
Structured Uncertainty ◽  
Fixed Structure ◽  
Block Structured

Symbolic Differentiation for Fixed-Structure Controller Synthesis

1996 ◽  
Vol 29 (1) ◽  
pp. 1697-1702
Author(s):  
Scot L. Osburn ◽  
Jasim Ahmed ◽  
Vincent Coppola ◽  
Dennis S. Bernstein
Keyword(s):  
Controller Synthesis ◽  
Fixed Structure

Robust fixed-structure controller synthesis using the implicit small-gain bound

2000 ◽  
Vol 337 (1) ◽  
pp. 85-96 ◽  
Author(s):  
Wassim M. Haddad ◽  
VijaySekhar Chellaboina ◽  
Joseph R. Corrado ◽  
Dennis S. Bernstein
Keyword(s):  
Controller Synthesis ◽  
Small Gain ◽  
Fixed Structure

H∞ Optimization of Fixed Structure Controllers

2000 ◽  
Author(s):  
Soichi Ibaraki ◽  
Masayoshi Tomizuka
Keyword(s):  
Output Feedback ◽  
Optimization Problem ◽  
Disk Drive ◽  
Controller Synthesis ◽  
Static Output Feedback ◽  
Single Input Single Output ◽  
Single Output ◽  
Head Positioning ◽  
Fixed Structure ◽  
Static Output

Abstract In this paper, the H∞ optimization problem of fixed structure linear controllers is considered. Applications of the problem include tuning of SISO (Single-Input Single-Output) PID (Proportional plus Integral plus Derivative) controller gains. The proposed algorithm starts with transformation of the original problems into a static output feedback controller synthesis problem, which does not impose any constraints on the controller structure except for its order. Unlike the full-order H∞ controller synthesis case, the H∞ optimization problem of static output feedback controllers cannot be reparameterized as a convex optimization problem. The cone complementarity linearization algorithm is used to overcome the nonconvexity problem due to the constraint on the controller order. The proposed algorithm is applied to the design of a SISO PID controller for head positioning of a magnetic hard disk drive.

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