scholarly journals A Convex Solution of the $H_\infty$-Optimal Controller Synthesis Problem for Multidelay Systems

2020 ◽  
Vol 58 (3) ◽  
pp. 1547-1578
Author(s):  
Matthew M. Peet
Keyword(s):  
Controller Synthesis ◽  
Synthesis Problem ◽  
Optimal Controller ◽  
Convex Solution

Optimal controller synthesis for a class of LTI systems via switched feedback

2010 ◽  
Vol 59 (3-4) ◽  
pp. 258-264 ◽  
Author(s):  
Keith R. Santarelli ◽  
Munther A. Dahleh
Keyword(s):  
Controller Synthesis ◽  
Optimal Controller

Optimal controller synthesis for second order time delay systems with at least one RHP pole

2018 ◽  
Vol 73 ◽  
pp. 181-188 ◽  
Author(s):  
K. Ghousiya Begum ◽  
A. Seshagiri Rao ◽  
T.K. Radhakrishnan
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Optimal Controller ◽  
Time Delay Systems

H∞ Optimal Controller Design With Closed-Loop Positive Real Constraints

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
L. Hewing ◽  
S. Leonhardt ◽  
P. Apkarian ◽  
B. J. E. Misgeld
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Controller Synthesis ◽  
Optimal Controller ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Positive Real ◽  
Promising Tool ◽  
Control Framework ◽  
Real Constraint

Positive real constraints on the closed-loop of linear systems guarantee stable interaction with arbitrary passive environments. Two such methods of H∞ optimal controller synthesis subject to a positive real constraint are presented and demonstrated on numerical examples. The first approach is based on an established multi-objective optimal control framework using linear matrix inequalities and is shown to be overly restrictive and ultimately infeasible. The second method employs a sector transformation to substitute the positive real constraint with an equivalent H∞ constraint. In two examples, this method is shown to be more reliable and displays little change in the achieved H∞ norm compared to the unconstrained design, making it a promising tool for passivity-based controller design.

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