Suboptimal Scheduling in Switched Systems With Continuous-Time Dynamics: A Least Squares Approach

Area of Science:

• Control Theory
• Systems Engineering
• Applied Mathematics

Background:

• Optimal control of switched systems is computationally intensive.
• Autonomous subsystems and continuous-time dynamics present unique challenges.

Purpose of the Study:

• To develop approximate solutions for optimal control of switched systems.
• To reduce the computational burden associated with policy iteration algorithms.

Main Methods:

• Formulation of a policy iteration (PI) algorithm using recursive least squares.
• Introduction of a computationally efficient single loop PI algorithm.
• Discussion of online and concurrent training algorithms for implementation.

Main Results:

• The presented algorithms offer approximate solutions for complex control problems.
• The single loop PI algorithm effectively reduces computational complexity.
• Numerical simulations validate the effectiveness of the proposed methods.

Conclusions:

• The developed policy iteration algorithms provide viable approaches for optimal control of switched systems.
• The single loop PI offers a practical alternative for reducing computational demands.
• The findings support the application of these methods in real-world control scenarios.