Optimization and model-based control for max-plus linear and continuous piecewise affine systems

Jia Xu

doi:10.4233/uuid:87bafdf4-a16e-4abd-8e81-c349cf95f9f2

Optimization and model-based control for max-plus linear and continuous piecewise affine systems

Jia Xu

Team Bart De Schutter

Research output: Thesis › Dissertation (TU Delft)

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Abstract

This PhD thesis considers the development of optimization and model-based control techniques for max-plus linear (MPL) and continuous piecewise affine (PWA) systems. The three main topics investigated in this thesis are as follows: 1. Optimistic optimization and planning for model-based control of MPL systems; 2. Optimistic optimization for MPC of continuous PWA systems; 3. MPC for stochastic MPL systems with chance constraints

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	Delft University of Technology
Supervisors/Advisors	De Schutter, B.H.K., Supervisor van den Boom, A.J.J., Advisor
Thesis sponsors	China Scholarship Council
Award date	6 Jun 2019
Print ISBNs	978-94-6186-953-1
DOIs	https://doi.org/10.4233/uuid:87bafdf4-a16e-4abd-8e81-c349cf95f9f2
Publication status	Published - 2019

Keywords

Model predictive control (MPC)
Max-plus linear systems
piecewise affine systems
Optimistic optimization

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PhD_Thesis_Jia_XuFinal published version, 1.09 MB

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title = "Optimization and model-based control for max-plus linear and continuous piecewise affine systems",

abstract = "This PhD thesis considers the development of optimization and model-based control techniques for max-plus linear (MPL) and continuous piecewise affine (PWA) systems. The three main topics investigated in this thesis are as follows: 1. Optimistic optimization and planning for model-based control of MPL systems; 2. Optimistic optimization for MPC of continuous PWA systems; 3. MPC for stochastic MPL systems with chance constraints",

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AU - Xu, Jia

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AB - This PhD thesis considers the development of optimization and model-based control techniques for max-plus linear (MPL) and continuous piecewise affine (PWA) systems. The three main topics investigated in this thesis are as follows: 1. Optimistic optimization and planning for model-based control of MPL systems; 2. Optimistic optimization for MPC of continuous PWA systems; 3. MPC for stochastic MPL systems with chance constraints

KW - Model predictive control (MPC)

KW - Max-plus linear systems

KW - piecewise affine systems

KW - Optimistic optimization

U2 - 10.4233/uuid:87bafdf4-a16e-4abd-8e81-c349cf95f9f2

DO - 10.4233/uuid:87bafdf4-a16e-4abd-8e81-c349cf95f9f2

M3 - Dissertation (TU Delft)

SN - 978-94-6186-953-1

ER -

Optimization and model-based control for max-plus linear and continuous piecewise affine systems

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Keywords

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