Numerical Computation of a Mixed-Integer Optimal Control Problem Based on Quantum Annealing

doi:10.1007/s12204-020-2220-1

J Shanghai Jiaotong Univ Sci ›› 2020, Vol. 25 ›› Issue (5): 623-629.doi: 10.1007/s12204-020-2220-1

Numerical Computation of a Mixed-Integer Optimal Control Problem Based on Quantum Annealing

LIU Zhe (刘哲), LI Shurong (李树荣), GE Yulei (葛玉磊)

(1. Automation School, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. Qingdao Topscomm Communication Co., Ltd., Qingdao 266024, Shandong, China)

出版日期:2020-10-28 发布日期:2020-09-11
通讯作者: LI Shurong (李树荣) E-mail:lishurong@bupt.edu.cn

Numerical Computation of a Mixed-Integer Optimal Control Problem Based on Quantum Annealing

LIU Zhe (刘哲), LI Shurong (李树荣), GE Yulei (葛玉磊)

(1. Automation School, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. Qingdao Topscomm Communication Co., Ltd., Qingdao 266024, Shandong, China)

Online:2020-10-28 Published:2020-09-11
Contact: LI Shurong (李树荣) E-mail:lishurong@bupt.edu.cn

摘要/Abstract

摘要： It is extremely challenging to solve the mixed-integer optimal control problems (MIOCPs) due to
the complex computation in solving the integer decision variables. This paper presents a new method based
on quantum annealing (QA) to solve MIOCP. The QA is a metaheuristic which applies quantum tunneling in
the annealing process. It has a faster convergence speed in optimal-searching and is less likely to run into local
minima. Hence, QA is applied to deal with this kind of optimization problems. First, MIOCP is transformed into
a mixed-integer nonlinear programming (MINLP). Then, a method based on QA is adopted to solve the MINLP
and acquire the optimal solution. At last, two benchmark examples including Lotka-Volterra type fishing problem
and distillation column are presented and solved. The effectiveness of the methodology is verified by the acquired
optimal schemes.

关键词: mixed-integer, optimal control, quantum annealing, distillation column

Abstract: It is extremely challenging to solve the mixed-integer optimal control problems (MIOCPs) due to
the complex computation in solving the integer decision variables. This paper presents a new method based
on quantum annealing (QA) to solve MIOCP. The QA is a metaheuristic which applies quantum tunneling in
the annealing process. It has a faster convergence speed in optimal-searching and is less likely to run into local
minima. Hence, QA is applied to deal with this kind of optimization problems. First, MIOCP is transformed into
a mixed-integer nonlinear programming (MINLP). Then, a method based on QA is adopted to solve the MINLP
and acquire the optimal solution. At last, two benchmark examples including Lotka-Volterra type fishing problem
and distillation column are presented and solved. The effectiveness of the methodology is verified by the acquired
optimal schemes.

Key words: mixed-integer, optimal control, quantum annealing, distillation column

中图分类号:

TP 301

LIU Zhe, LI Shurong, GE Yulei . Numerical Computation of a Mixed-Integer Optimal Control Problem Based on Quantum Annealing[J]. J Shanghai Jiaotong Univ Sci, 2020, 25(5): 623-629.

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Numerical Computation of a Mixed-Integer Optimal Control Problem Based on Quantum Annealing

Numerical Computation of a Mixed-Integer Optimal Control Problem Based on Quantum Annealing

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