Stability and stabilization of discrete-time periodic linear systems with actuator saturation

Automatica ◽  
2011 ◽  
Vol 47 (8) ◽  
pp. 1813-1820 ◽  
Author(s):  
Bin Zhou ◽  
Wei Xing Zheng ◽  
Guang-Ren Duan
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Actuator Saturation ◽  
Periodic Linear ◽  
Stability And Stabilization ◽  
Time Periodic

Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems

2002 ◽  
Vol 62 (2) ◽  
pp. 306-325 ◽  
Author(s):  
Peter Benner ◽  
Ralph Byers ◽  
Rafael Mayo ◽  
Enrique S Quintana-Ortı́ ◽  
Vicente Hernández
Keyword(s):  
Optimal Control ◽  
Parallel Algorithms ◽  
Linear Systems ◽  
Discrete Time ◽  
Periodic Linear ◽  
Lq Optimal Control ◽  
Time Periodic

DISCRETE PROCEDURE OF OPTIMAL STABILIZATION FOR PERIODIC LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS

2018 ◽  
pp. 891-906
Author(s):  
Roman Ivanovich Shevchenko ◽  
Yuri Filippovich Dolgii
Keyword(s):  
Differential Equations ◽  
Discrete Time ◽  
Periodic Problem ◽  
Optimal Stabilization ◽  
Systems Of Differential Equations ◽  
Special Procedure ◽  
Periodic Linear ◽  
System States ◽  
Linear Periodic Systems ◽  
Time Periodic

We propose procedure to solve the optimal stabilization problem for linear periodic systems of differential equations. Stabilizing controls, formed as a feedback, are defined by the system states at the fixed instants of time. Equivalent discrete-time linear periodic problem of optimal stabilization is considered. We propose a special procedure for the solution of discrete periodic Riccati equation. We investigate the relation between continuous-time and discrete-time periodic optimal stabilization problems. The proposed method is used for stabilization of mechanical systems.

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