A study on the minimal-time control problem of a quantized linear discrete system with rational coefficients

1993 ◽  
Vol 1 (1) ◽  
pp. 217
Keyword(s):  
Control Problem ◽  
Discrete System ◽  
Minimal Time ◽  
Time Control ◽  
Linear Discrete System

scholarly journals Dynamical modeling and optimal control of landfills

2016 ◽  
Vol 26 (05) ◽  
pp. 901-929 ◽  
Author(s):  
Alain Rapaport ◽  
Terence Bayen ◽  
Matthieu Sebbah ◽  
Andres Donoso-Bravo ◽  
Alfredo Torrico
Keyword(s):  
Optimal Control ◽  
Simple Model ◽  
Control Problem ◽  
State Space ◽  
Optimal Strategy ◽  
Dynamical Modeling ◽  
Minimal Time ◽  
Time Control ◽  
Switching Curve ◽  
Singular Arc

We propose a simple model of landfill and study a minimal time control problem where the re-circulation leachate is the manipulated variable. We propose a scheme to construct the optimal strategy by dividing the state space into three subsets [Formula: see text], [Formula: see text] and the complementary. On [Formula: see text] and [Formula: see text], the optimal control is constant until reaching target, while it can exhibit a singular arc outside these two subsets. Moreover, the singular arc could have a barrier. In this case, we prove the existence of a switching curve that passes through a point of prior saturation under the assumption that the set [Formula: see text] intersects the singular arc. Numerical computations allow then to determine the switching curve and depict the optimal synthesis.

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