The exact model-matching problem for linear time-varying systems: an algebraic approach

2003 ◽  
Vol 48 (1) ◽  
pp. 166-169 ◽  
Author(s):  
B. Marinescu ◽  
H. Bourles
Keyword(s):  
Linear Time ◽  
Algebraic Approach ◽  
Time Varying ◽  
Model Matching ◽  
Matching Problem ◽  
Exact Model ◽  
Time Varying Systems

Uniform exact model matching for a class of linear time-varying analytic systems

1992 ◽  
Vol 19 (4) ◽  
pp. 313-323 ◽  
Author(s):  
K.G. Arvanitis ◽  
P.N. Paraskevopoulos
Keyword(s):  
Linear Time ◽  
Time Varying ◽  
Model Matching ◽  
Exact Model

scholarly journals Adaptive Data-Driven Control for Linear Time Varying Systems

Machines ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 167
Author(s):  
Talal Abdalla
Keyword(s):  
Design Problem ◽  
Controller Design ◽  
Reference Model ◽  
Linear Time ◽  
Convex Relaxation ◽  
Data Driven ◽  
Time Varying ◽  
Model Matching ◽  
Control Approach ◽  
Time Varying Systems

In this paper, we propose an adaptive data-driven control approach for linear time varying systems, affected by bounded measurement noise. The plant to be controlled is assumed to be unknown, and no information in regard to its time varying behaviour is exploited. First, using set-membership identification techniques, we formulate the controller design problem through a model-matching scheme, i.e., designing a controller such that the closed-loop behaviour matches that of a given reference model. The problem is then reformulated as to derive a controller that corresponds to the minimum variation bounding its parameters. Finally, a convex relaxation approach is proposed to solve the formulated controller design problem by means of linear programming. The effectiveness of the proposed scheme is demonstrated by means of two simulation examples.

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