Approximate robust receding horizon control for piecewise linear systems via orthogonal partitioning

This paper considers an approximate robust receding horizon control algorithm for a class of hybrid systems by exploiting the equivalence between piecewise linear systems and mixed logical dynamical systems. The control algorithm consists of two control modes which are a state feedback mode and a re...

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Published in2003 European Control Conference (ECC) pp. 2020 - 2025
Main Authors Mukai, Masakazu, Azuma, Takehito, Kojima, Akira, Fujita, Masayuki
Format Conference Proceeding Journal Article
LanguageEnglish
Published IEEE 01.09.2003
Subjects
Approximation
Approximation algorithms
Approximation methods
Control theory
Dynamical systems
Equivalence
Horizon
hybrid systems
invariant sets
Invariants
Linear systems
Mathematical model
Model predictive control
Partitioning
Partitioning algorithms
Piecewise linear approximation
Robustness
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Abstract This paper considers an approximate robust receding horizon control algorithm for a class of hybrid systems by exploiting the equivalence between piecewise linear systems and mixed logical dynamical systems. The control algorithm consists of two control modes which are a state feedback mode and a receding horizon control mode. In the receding horizon control mode, the constrained positively invariant sets are used as the end set constraint and the control law is obtained as an explicit form off-line. To reduce the computations we propose an algorithm that will determine the approximate solution by using orthogonal partitioning.
AbstractList This paper considers an approximate robust receding horizon control algorithm for a class of hybrid systems by exploiting the equivalence between piecewise linear systems and mixed logical dynamical systems. The control algorithm consists of two control modes which are a state feedback mode and a receding horizon control mode. In the receding horizon control mode, the constrained positively invariant sets are used as the end set constraint and the control law is obtained as an explicit form off-line. To reduce the computations we propose an algorithm that will determine the approximate solution by using orthogonal partitioning.
Author Kojima, Akira
Mukai, Masakazu
Fujita, Masayuki
Azuma, Takehito
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  givenname: Takehito
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  fullname: Azuma, Takehito
  organization: Department of Electrical and Electronic Engineering Kanazawa University, Kodatsuno 2-40-20 Kanazawa 920-8667, Japan
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  fullname: Fujita, Masayuki
  email: fujita@t.kanazawa-u.ac.jp
  organization: Department of Electrical and Electronic Engineering Kanazawa University, Kodatsuno 2-40-20 Kanazawa 920-8667, Japan
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Snippet This paper considers an approximate robust receding horizon control algorithm for a class of hybrid systems by exploiting the equivalence between piecewise...
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SubjectTerms Approximation
Approximation algorithms
Approximation methods
Control theory
Dynamical systems
Equivalence
Horizon
hybrid systems
invariant sets
Invariants
Linear systems
Mathematical model
Model predictive control
Partitioning
Partitioning algorithms
Piecewise linear approximation
Robustness
Title Approximate robust receding horizon control for piecewise linear systems via orthogonal partitioning
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