Year: 2026
Type: article
Abstract: This paper investigates the optimal consensus control problem for multi-agent systems with Markov jump characteristics in system parameters and subject to Markov switching in communication topology. Firstly, the cost function is constructed to characterize the impact of topology switching and jumps in system parameters on system performance. Then, to tackle the impact of neighbor coupling terms on the performance of the cost function, the global algebraic Riccati equation is derived to determine the optimal control policy. Within the adaptive dynamic programming framework, global form policy iteration and value iteration algorithm are proposed to solve the global control policy. Subsequently, the convergence of the proposed iterative algorithm is theoretically proved, and the stability of the system is established through the Lyapunov stability theorem. Finally, the effectiveness of the presented optimal control scheme is verified through simulation examples.
Source: Intelligence & Robotics
DOI: 10.20517/ir.2026.38
Authors: Bowen Liu, Wei Xing, Haoyue Yang, Junfeng Zhang
Institution: Hainan University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Awards: G3016032631, G4132157974, G534987079
OpenAlex ID: W7224343439