Approximation of continuous-time infinite-horizon optimal control problems arising in model predictive control

2016 ◽  
Author(s):  
Michael Muehlebach ◽  
Raffaello D'Andrea
Keyword(s):  
Optimal Control ◽  
Model Predictive Control ◽  
Predictive Control ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Infinite Horizon ◽  
Control Problems

scholarly journals A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique

2003 ◽  
Vol 2003 (11) ◽  
pp. 631-650 ◽  
Author(s):  
Musa A. Mamedov
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Infinite Horizon ◽  
Stationary Points ◽  
Control Problems ◽  
Horizon Problem ◽  
Time Control ◽  
Turnpike Theorem

We study the turnpike property for the nonconvex optimal control problems described by the differential inclusionx˙∈a(x). We study the infinite horizon problem of maximizing the functional∫0Tu(x(t))dtasTgrows to infinity. The turnpike theorem is proved for the case when a turnpike set consists of several optimal stationary points.

scholarly journals On turnpike and dissipativity properties of continuous-time optimal control problems

Automatica ◽  
2017 ◽  
Vol 81 ◽  
pp. 297-304 ◽  
Author(s):  
Timm Faulwasser ◽  
Milan Korda ◽  
Colin N. Jones ◽  
Dominique Bonvin
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Optimal Control Problems ◽  
Time Optimal Control ◽  
Control Problems ◽  
Time Optimal
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