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Sufficient Optimality Conditions for Optimal Control Problems with State Constraints
(2019-06-11)
It is well-known in optimal control theory that the maximum principle, in general, furnishes only necessary optimality conditions for an admissible process to be an optimal one. It is also well-known that if a process ...
Optimizing model predictive control of an industrial distillation column
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
The main scope of this work is the implementation of an MPC that integrates the control and the economic optimization of the system. The two problems are solved simultaneously through the modification of the control cost ...
Optimal and sub-optimal control in Dengue epidemics
(Wiley-Blackwell, 2001-03-01)
This work concerns the application of the optimal control theory to Dengue epidemics. The dynamics of this insect-borne disease is modelled as a set of non-linear ordinary differential equations including the effect of ...
New optimality conditions for nonsmooth control problems
(2012-11-08)
This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first ...
A note on the sufficiency of the maximum principle for infinite horizon optimal control problems
(2018-07-01)
This work is devoted to introduce a new sufficient optimality condition for infinite horizon optimal control problems. It is shown that normal extremal processes are optimal under this new condition, termed as maximum-pr ...
Optimal control problem for deflection plate with crack
(Springer/plenum Publishers, 2012-07-01)
We consider a control problem where the state variable is defined as the solution of a variational inequality. This system describes the vertical displacement of points of a thin plate with the presence of crack inside ...
Penalty-based nonlinear solver for optimal reactive power dispatch with discrete controls
(2013-04-15)
The optimal reactive dispatch problem is a nonlinear programming problem containing continuous and discrete control variables. Owing to the difficulty caused by discrete variables, this problem is usually solved assuming ...
Steady-state target optimization designs for integrating real-time optimization and model predictive control
(Elsevier, 2013-12)
In industrial practice, the optimal steady-state operation of continuous-time processes is typically addressed by a control hierarchy involving various layers. Therein, the Real-Time Optimization (RTO) layer computes the ...
On sufficient optimality conditions for multiobjective control problems
(2016-04-01)
This paper is devoted to presenting optimality conditions for the sufficiency of the maximum principle for multiobjective optimal control problems with nonsmooth data. Such conditions are the most general as possible in ...