Adaptive dynamic programming-based decentralised control for large-scale nonlinear systems subject to mismatched interconnections with unknown time-delay. Issue 15 (17th November 2020)

• Record Type: Journal Article
• Authors: Wu, Qiuye; Zhao, Bo; Liu, Derong
• Is Part Of: International journal of systems science. Volume 51:Issue 15(2020)
• Page Start: 2883
• Page End: 2898
• Publication Date: 2020-11-17
• Subjects: Adaptive dynamic programming -- large-scale nonlinear systems -- decentralised control -- unknown mismatched interconnection -- unknown time-delay -- reinforcement learning; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1803439
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper addresses decentralised optimal control problems for large-scale nonlinear systems subject to mismatched interconnections with unknown time-delay by adaptive dynamic programming. To eliminate the effects of mismatched interconnections with unknown time-delay, a novel local value function is constructed to transform the decentralised control problem into an optimal control problem. A local robust observer is established to identify the bound of the unknown interconnections. Then, based on the observer-critic architecture, the decentralised optimal control policy is achieved by solving local Hamiltonian–Jacobi–Bellman equation via local policy iteration algorithm. The stability of the closed-loop large-scale nonlinear system is guaranteed to be uniformly ultimately bounded by implementing a set of decentralised control policies. Simulation examples demonstrate the effectiveness of the proposed scheme.