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Free Final-Time Delay Fractional Optimal Control Problems

Author

Listed:
  • Chongyang Liu

    (Shandong Technology and Business University, School of Mathematics and Information Science)

  • Song Wang

    (Curtin University, School of Electrical Engineering, Computing, and Mathematical Sciences)

  • Zhaohua Gong

    (Shandong Technology and Business University, School of Mathematics and Information Science)

Abstract

The final time in an optimal control problem can be either fixed or free. In this chapter, we consider numerical solution of free final-time delay fractional optimal control problems. By using the time-scaling transformation, this optimal control problem is transformed into the equivalent one with fixed terminal time and variable time-delay. Then, we propose an explicit numerical scheme for solving the transformed fractional time-delay system, which yields the discrete-time fractional optimal control problem. Furthermore, a gradient-based optimization approach is developed to solve the resulting discrete-time optimal control problem. Finally, numerical results for two example problems show the effectiveness of the developed algorithm.

Suggested Citation

  • Chongyang Liu & Song Wang & Zhaohua Gong, 2026. "Free Final-Time Delay Fractional Optimal Control Problems," Springer Optimization and Its Applications,, Springer.
    • Handle: RePEc:spr:spochp:978-981-92-0274-4_7
    DOI: 10.1007/978-981-92-0274-4_7
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