• Corpus ID: 13959900

Dynamic optimization of a system with input-dependant time delays

@inproceedings{Clerget2016DynamicOO,
  title={Dynamic optimization of a system with input-dependant time delays},
  author={Charles-Henri Clerget and Nicolas Petit and Lorenz T. Biegler},
  year={2016}
}
This paper studies one example of dynamic optimisation of systems subject to hydraulic transportation delays. Properly taking into account the variability of the delay in optimisation is a challenging problem, of importance in several applications. While stationary conditions have been derived in earlier works, here we investigate practical numerical aspects and propose a direct resolution method using an orthogonal collocation approach and a state of the art interior point solver. On the basis… 
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6 Citations
Background Citations
2
Methods Citations
1

6 Citations

Citation Type

Citation Type

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References

SHOWING 1-10 OF 30 REFERENCES
Large-scale SQP methods and their application in trajectory optimization
TLDR
Optimal trajectory problems are representative of a class of constrained optimization problems in which the constraints are discrete versions of continuous constraints and the variables define a discrete approximation to a continuous solution.
Nonlinear Predictive Control of processes with variable time delay. A temperature control case study
TLDR
It is shown that developing a process model in which dynamics are decoupled from the variable time delay leads to a Smith predictor-like control structure, that allows the proper operation of the control loop with fixed control parameters.
Prediction-Based Stabilization of Linear Systems Subject to Input-Dependent Input Delay of Integral-Type
In this paper, it is proved that a predictor-based feedback controller can effectively yield asymptotic convergence for a class of linear systems subject to input-dependent input delay. This class is…
Optimization of dynamical systems with time-varying or input-varying delays
TLDR
This work considers time-varying delays, and delays implicitly defined by input variables as they appear in systems involving fluid transport phenomena, and establishes the necessary optimality conditions.
Feedback control and optimization for the production of commercial fuels by blending
Control-Oriented Drift-Flux Modeling of Single and Two-Phase Flow for Drilling
We present a simplified drift-flux model for gas-liquid flow in pipes. The model is able to handle single and two-phase flow thanks to a particular choice of empirical slip law. A presented implicit…
Mass Transport Equation with Moving Interface and Its Control As an Input Delay System
TLDR
An analysis of 1D hyperbolic partial differential equation with moving interface as a delay system that derives from the mass balance of an extrusion process that describes the strong coupling between the mass transport equation and an ordinary differential equation which represents the interface motion.
Motion planning for two classes of nonlinear systems with delays depending on the control
Two classes of nonlinear delayed controlled systems are considered: nonlinear hyperbolic equations (such as the Burgers equation without diffusion) and models of mixing processes with nonnegligible…
Nonlinear Control Under Nonconstant Delays
TLDR
The authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications, and accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.
Time-delay systems: an overview of some recent advances and open problems
...
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