nonlinear saturation
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2021 ◽  
Author(s):  
Nguyen Hoai Nam

In this paper, we propose a new technique for the performance analysis of discrete-time linear systems controlled by a saturated linear control law. Two performance indices, the computation of invariant sets and the L2 performance, are considered. The main contributions of the paper are the following: i) a new linear parameter varying system framework is presented to model the saturated system, ii) a nonlinear saturation-dependent auxiliary feedback matrix is considered, iii) new sufficient conditions for the performance analysis are proposed. It is shown that the conditions can be expressed as a set of linear matrix inequalities. Furthermore, it is shown that the conditions are guaranteed to be less conservative than existing solutions in the literature. Three numerical examples are presented to illustrate the effectiveness of the proposed method. <br>


2021 ◽  
Author(s):  
Nguyen Hoai Nam

In this paper, we propose a new technique for the performance analysis of discrete-time linear systems controlled by a saturated linear control law. Two performance indices, the computation of invariant sets and the L2 performance, are considered. The main contributions of the paper are the following: i) a new linear parameter varying system framework is presented to model the saturated system, ii) a nonlinear saturation-dependent auxiliary feedback matrix is considered, iii) new sufficient conditions for the performance analysis are proposed. It is shown that the conditions can be expressed as a set of linear matrix inequalities. Furthermore, it is shown that the conditions are guaranteed to be less conservative than existing solutions in the literature. Three numerical examples are presented to illustrate the effectiveness of the proposed method. <br>


2021 ◽  
Vol 87 (5) ◽  
Author(s):  
Shizhao Wei ◽  
Tao Wang ◽  
Ningfei Chen ◽  
Zhiyong Qiu

General nonlinear equations describing reversed shear Alfvén eigenmode (RSAE) self-modulation via zero-frequency zonal structure (ZFZS) generation are derived using nonlinear gyrokinetic theory, which are then applied to study the spontaneous ZFZS excitation as well as RSAE nonlinear saturation. It is found that both electrostatic zonal flow and electromagnetic zonal current can be preferentially excited by finite-amplitude RSAE, depending on specific plasma parameters. The modification to local shear Alfvén wave continuum is evaluated using the derived saturation level of zonal current, which is shown to play a comparable role in saturating RSAE with the ZFZS scattering.


2021 ◽  
Vol 136 (9) ◽  
Author(s):  
S. Issa ◽  
I. Maïna ◽  
C. B. Tabi ◽  
A. Mohamadou ◽  
H. P. Ekobena Fouda ◽  
...  

2021 ◽  
pp. 2100166
Author(s):  
Usman A. Javid ◽  
Steven D. Rogers ◽  
Austin Graf ◽  
Qiang Lin

2021 ◽  
Vol 33 (3) ◽  
pp. 036608
Author(s):  
F. J. Beron-Vera
Keyword(s):  

2021 ◽  
Vol 8 (2) ◽  
pp. 441-454
Author(s):  
Yongliang Yang ◽  
Zhijie Liu ◽  
Qing Li ◽  
Donald C. Wunsch

Author(s):  
Zhexue Chen ◽  
Weibiao Wang ◽  
Xinyu Sui ◽  
Kangkang Wang ◽  
Jianqi Zhang ◽  
...  

Si quantum dots (SiQDs) with intrinsic characteristics demonstrate significantly enhanced photoluminescence (PL) and nonlinear saturation absorption (NSA) performances.


IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 133694-133709
Author(s):  
Ali Kandil ◽  
Y. S. Hamed ◽  
Abdullah M. Alsharif

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