Adaptive near‐optimal controllers for non‐linear decentralised feedback stabilisation problems

The authors focus on developing adaptive‐critic‐based near‐optimal controllers to solve continuous‐time non‐linear decentralised feedback stabilisation problems. The decentralised feedback control problem with respect to the matched interconnected systems is addressed by designing the optimal controllers of the corresponding isolated subsystems. By employing a novel updating rule to reduce the requirement about the initial stabilising control, the adaptive‐critic‐based near‐optimal feedback controllers can be obtained with an excellent approximation property. The closed‐loop form of each isolated subsystem is constructed and its stability is handled by incorporating the improved learning mechanism. A simulation example is also conducted to verify the decentralised control performance of the present approach.