Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities

Automatica ◽  
2010 ◽  
Vol 46 (8) ◽  
pp. 1327-1333 ◽  
Author(s):  
Yasuaki Oishi ◽  
Hisaya Fujioka
Keyword(s):  
Control Systems ◽  
Linear Matrix Inequalities ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Stability And Stabilization

Exponential Passivity Results for Singular Networked Cascade Control Systems Via Sampled-Data Control

2016 ◽  
Vol 139 (3) ◽  
Author(s):  
Srimanta Santra ◽  
R. Sakthivel ◽  
K. Mathiyalagan ◽  
S. Marshal Anthoni
Keyword(s):  
Control Systems ◽  
Cascade Control ◽  
Linear Matrix ◽  
Sampled Data ◽  
External Disturbances ◽  
Data Control ◽  
Sampled Data Control ◽  
Delay Dependent ◽  
Available Information ◽  
The Given

This paper addresses the issues of admissibility analysis and exponential passivity using sampled-data control for a class of singular networked cascade control systems (NCCSs) with time-varying delays and external disturbances. Based on the new augmented Lyapunov–Krasovskii functional which considers all the available information about the actual sampling pattern, a new set of delay-dependent condition is obtained to ensure the singular networked cascade control systems to be regular, impulse-free, stable, and exponentially passive. Based on the derived condition, the sampled-data control problem is solved and an explicit expression for the desired cascade controller is given. If the given linear matrix inequalities are feasible, then corresponding gain parameters of the designed cascade control will be determined. Finally, a numerical example based on a power plant boiler–turbine system is provided to demonstrate the effectiveness of the developed technique.

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