lur’e systems
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2021 ◽  
Author(s):  
Rong NIE ◽  
Wenli DU ◽  
Zhongmei LI ◽  
Zhao ZHOU ◽  
Shuping HE

Abstract This paper is concerned with the asynchronous problem for a class of Markovian jumping Lur’s system (MJLSs) via sliding mode control (SMC) in continuous-time domain. Specifically, the discrete hidden Markovian model (DHMM) is employed to describe the nonsynchronization between the controller modes and the MJLSs modes. In particular, considering the nonlinearity of MJLSs, a novel Lur’e-integral-type sliding surface is constructed. In order to ensure the finite-time stability of sliding mode dynamics and the accessibility of the specified sliding surface, the asynchronous Lur’e-type SMC law of the detector mode is presented. Finally, an example of DC motor is provided to demonstrate the effectiveness of the proposed technique.


2021 ◽  
Vol 11 (19) ◽  
pp. 9137
Author(s):  
Ming-Zhe Dai ◽  
Jie Liu ◽  
Jin Wu ◽  
Chengxi Zhang ◽  
Dang-Jun Zhao

This paper proposes event- and self-triggered control strategies to achieve distributed synchronization for multiple Lur’e systems with unknown static nonlinearities. Firstly, the integral-type edge-event-triggered function is designed here without Zeno behaviors. Compared to the traditional event-triggered schemes, the considered algorithm has the advantages of reducing controller update frequency and sensor energy consumption. Then, the integral-type self-triggered is further investigated, which implements discontinuous monitoring and discontinuous agent listening. Finally, numerical simulations verified the effectiveness and superiority of our policies.


2021 ◽  
Author(s):  
Leonardo de Paula Carvalho ◽  
Bayu Jayawardhana ◽  
Oswaldo Luiz do Valle Costa

2021 ◽  
Vol 40 ◽  
pp. 100994
Author(s):  
Gabriela W. Gabriel ◽  
José C. Geromel

2021 ◽  
Vol 31 (3) ◽  
pp. 033114
Author(s):  
Kirill Rogov ◽  
Alexander Pogromsky ◽  
Erik Steur ◽  
Wim Michiels ◽  
Henk Nijmeijer
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