LMI-Based Stability Analysis and Controller Design for Periodic Linear Time-Varying Systems

2020 ◽  
Author(s):  
Mitsunori Sakai ◽  
Toru Asai ◽  
Ryo Ariizumi ◽  
Shun-ichi Azuma
Keyword(s):  
Stability Analysis ◽  
Controller Design ◽  
Linear Time ◽  
Time Varying ◽  
Periodic Linear ◽  
Time Varying Systems

On stability analysis of cascaded linear time varying systems in dynamic isotope experiments

AIChE Journal ◽  
2020 ◽  
Vol 66 (5) ◽  
Author(s):  
Weilu Lin ◽  
Zejian Wang ◽  
Mingzhi Huang ◽  
Ju Chu ◽  
Yingping Zhuang ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Linear Time ◽  
Time Varying ◽  
Time Varying Systems

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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