Stability of a Turnpike Phenomenon for a Discrete-Time Optimal Control System

2010 ◽  
Vol 145 (3) ◽  
pp. 597-612 ◽  
Author(s):  
A. J. Zaslavski
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Discrete Time ◽  
Time Optimal Control ◽  
Optimal Control System ◽  
Time Optimal

scholarly journals Application of Minimum-time Optimal Control System in Buck-Boost Bi-linear Converters

2017 ◽  
Vol 7 (4) ◽  
pp. 1753-1758
Author(s):  
S. M. M. Shariatmadar ◽  
S. M. J. Jafarian
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Output Voltage ◽  
Minimum Principle ◽  
Voltage Regulation ◽  
Minimum Time ◽  
Time Optimal Control ◽  
Optimal Switching ◽  
Optimal Control System ◽  
Time Optimal

In this study, the theory of minimum-time optimal control system in buck-boost bi-linear converters is described, so that output voltage regulation is carried out within minimum time. For this purpose, the Pontryagin's Minimum Principle is applied to find optimal switching level applying minimum-time optimal control rules. The results revealed that by utilizing an optimal switching level instead of classical switching patterns, output voltage regulation will be carried out within minimum time. However, transient energy index of increased overvoltage significantly reduces in order to attain minimum time optimal control in reduced output load. The laboratory results were used in order to verify numerical simulations.

Solution of Finite-Time LQP Optimal Control Problems for Discrete-Time Systems

1982 ◽  
Vol 104 (2) ◽  
pp. 151-157 ◽  
Author(s):  
M. J. Grimble ◽  
J. Fotakis
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Discrete Time ◽  
Time Optimal Control ◽  
Infinite Time ◽  
Time Problem ◽  
Z Domain ◽  
Time Optimal ◽  
Time Optimal Control Problem

The deterministic discrete-time optimal control problem for a finite optimization interval is considered. A solution is obtained in the z-domain by embedding the problem within a equivalent infinite time problem. The optimal controller is time-invariant and may be easily implemented. The controller is related to the solution of the usual infinite time optimal control problem due to Wiener. This new controller should be of value in self-tuning control laws where a finite interval controller is particularly important.

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