Distributed finite‐time optimisation algorithm for second‐order multi‐agent systems subject to mismatched disturbances
Xiangyu Wang, Guodong Wang · IET Control Theory and Applications · 2020
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.