State Feedback in Sampled Data Systems

Author(s):  
László Keviczky ◽  
Ruth Bars ◽  
Jenő Hetthéssy ◽  
Csilla Bányász
2020 ◽  
Author(s):  
Rafael M. Alves ◽  
André R. Fioravanti ◽  
Matheus Souza

In this paper, we address the H∞ control problem for uncertain sampled-data systems rewritten as hybrid systems. The conditions proposed are formulated as intervals to ensure stability and design controllers that guarantee an upper bound for an associated H∞ norm. A numerical example points out the main features of the proposed method.


Author(s):  
Hassan Omran ◽  
Laurentiu Hetel ◽  
Jean-Pierre Richard ◽  
Francoise Lamnabhi-Lagarrigue

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.


2000 ◽  
Vol 6 (2-3) ◽  
pp. 145-170 ◽  
Author(s):  
K. Tan ◽  
K. M. Grigoriadis

In this paper, we address the analysis and the state-feedback synthesis problems for linear parameter-varying (LPV) sampled-data control systems. We assume that the state-space data of the plant and the sampling interval depend on parameters that are measurable in real-time and vary in a compact set with bounded variation rates. We explore criteria such as the stability, the energy-to-energy gain (inducedL2norm) and the energy-to-peak gain (inducedL2-to-L∞norm) of such sampled-data LPV systems using parameter-dependent Lyapunov functions. Based on these analysis results, the sampled-data state-feedback control synthesis problems are examined. Both analysis and synthesis conditions are formulated in terms of linear matrix inequalities that can be solved via efficient interior-point algorithms.


Author(s):  
Pierre Kabamba ◽  
Shinji Hara
Keyword(s):  

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

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