scholarly journals Model conversions of uncertain linear systems using interval multipoint Pade approximation

1997 ◽  
Vol 21 (4) ◽  
pp. 233-244 ◽  
Author(s):  
Feng Fangfang ◽  
Shieh Leang-San ◽  
Chen Guanrong
Keyword(s):  
Linear Systems ◽  
Padé Approximation ◽  
Pade Approximation ◽  
Multipoint Padé Approximation ◽  
Uncertain Linear Systems

scholarly journals Padé-Approximation-Based Preview Repetitive Control for Continuous-Time Linear Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Jia-Yu Zhao ◽  
Zhao-Hong Wang ◽  
Jian-De Yan ◽  
Yong-Hong Lan
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Padé Approximation ◽  
Repetitive Control ◽  
State Equation ◽  
The State ◽  
Space Representation ◽  
Pade Approximation ◽  
Time Linear ◽  
Repetitive Controller

This paper concerns a Padé-approximation-based preview repetitive control (PRC) scheme for continuous-time linear systems. Firstly, the state space representation of the repetitive controller is transformed into a nondelayed one by Padé approximation. Then, an augmented dynamic system is constructed by using the nominal state equation with the error system and the state equation of a repetitive controller. Next, by using optimal control theory, a Padé-approximation-based PRC law is obtained. It consists of state feedback, error integral compensation, output integral of repetitive controller, and preview compensation. Finally, the effectiveness of the method is verified by a numerical simulation.

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