Model reduction for continuous- and discrete-time systems via squared-magnitude responses matching by linear programming

1991 ◽  
Vol 22 (4) ◽  
pp. 723-734 ◽  
Author(s):  
MU-HUO CHENG ◽  
JYH-YEONG CHANG
Keyword(s):  
Linear Programming ◽  
Model Reduction ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems

A Sequential Linear Programming Matrix Method to Insensitive H∞ Output Feedback for Linear Discrete-Time Systems

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Xiang-Gui Guo ◽  
Guang-Hong Yang
Keyword(s):  
Linear Programming ◽  
Discrete Time ◽  
Output Feedback ◽  
Matrix Method ◽  
Design Method ◽  
Sequential Linear Programming ◽  
Discrete Time Systems ◽  
Starting Point ◽  
Good Starting Point ◽  
Time Systems

This paper studies the problem of designing insensitive H∞ output-feedback controllers for linear discrete-time systems. The designed controllers are insensitive to additive/multiplicative controller coefficient variations. An LMI-based procedure, which is a sequential linear programming matrix method (SLPMM), is proposed to solve the considered problem which is a nonconvex problem itself. It is worth mentioning that the nonfragile control design method is adopted to obtain an effective solution for accelerating convergence of SLPMM algorithm due to the fact that a good starting point for the iteration is very important.

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