Further Stability and L2-Gain Conditions for Sampled-Data Systems

Author(s):  
Ramasamy Saravanakumar
Keyword(s):  
2020 ◽  
Author(s):  
V. Oliveira ◽  
L. Frezzatto

This paper addresses the design of gain-scheduled state-feedback controllers for sampled-data nonlinear systems, aiming at the minimization of the L2-gain. A description of nonlinear systems based in polynomial quasi-linear parameter-varying models is employed. Sucient conditions for the synthesis of sampled-data controllers are derived in terms of polynomial linear matrix inequalities, using Wirtinger's Inequality and considering Lyapunov-Krasovskii functionals. The designed controllers ensure both closed-loop stability and guaranteed L2-gain costs. The eectiveness of the proposed approach is assessed through numerical simulations.


2020 ◽  
Vol 53 (2) ◽  
pp. 3482-3487
Author(s):  
Daehan Kim ◽  
Kunhee Ryu ◽  
Juhoon Back

Automatica ◽  
2021 ◽  
Vol 131 ◽  
pp. 109742
Author(s):  
Alexis J. Vallarella ◽  
Paula Cardone ◽  
Hernan Haimovich

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