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Wang, Xiangyu; Wang, Guodong

Distributed finite-time optimisation algorithm for second-order multi-agent systems subject to mismatched disturbances. (English) Zbl 07916996

IET Control Theory Appl. 14, No. 18, 2977-2988 (2020).
Summary: In this study, the distributed finite-time optimisation problem is investigated for second-order multi-agent systems subject to mismatched disturbances. The whole control design is conducted within a feedforward-feedback composite control framework, which consists of two main sessions. In the first session, based on homogeneous systems theory, a finite-time optimisation control algorithm is presented for a nominal second-order single system with a quadratic cost function. In the second session, via the result in the first session and by combining finite-time disturbance observer, homogeneous systems theory, integral sliding-mode control, and distributed finite-time estimator techniques together, a distributed finite-time optimisation control algorithm is proposed for second-order multi-agent systems with mismatched disturbances and quadratic local cost functions. Under the proposed control algorithm, the outputs of all the agents reach finite-time consensus on the minimiser of the global cost function. Simulations demonstrate the effectiveness and superiority of the proposed distributed finite-time optimisation control algorithm.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology

Cited in 4 Documents

MSC:

93A16 Multi-agent systems
93C73 Perturbations in control/observation systems
93B52 Feedback control

Keywords:

feedforward; optimisation; feedback; observers; multi-agent systems; distributed control; control system synthesis; multi-robot systems; variable structure systems; second-order multiagent systems subject; mismatched disturbances; distributed finite-time optimisation problem; control design; feedforward-feedback composite control framework; homogeneous systems theory; second-order single system; finite-time disturbance observer; integral sliding-mode control; finite-time estimator techniques; distributed finite-time optimisation control algorithm; finite-time consensus; finite-time optimisation algorithm
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