Observer-based adaptive consensus control for nonlinear multi-agent systems with time-delay

Abstract

In this paper, we consider the observer-based adaptive consensus tracking problem for a class of nonlinear time-delay multi-agent systems in the presence of input saturation. Under the assumption that the communication topology is directed and connected, a distributed adaptive consensus controller is developed based on the dynamic surface control technique. By constructing the nonlinear observer, the unmeasurable agents dynamics can be estimated. Input saturation problem is solved by a smooth function combined with an auxiliary variable. With the help of prescribed performance functions, the synchronization errors converge to the prescribed sets, which are characterized as a neighborhood of zero. According to Lyapunov stability theory, it is shown that with the proposed distributed consensus tracking approach, the consensus errors are cooperatively semi-globally uniformly ultimately bounded. Finally, a simulation example is provided to show the effectiveness of the proposed algorithm.

Event‐triggered guaranteed cost fault‐tolerant optimal tracking control for uncertain nonlinear system via adaptive dynamic programming

“…[63][64][65] Time-delay multiagent systems have better flexibility and wider applications. [66][67][68][69] Accordingly, the optimization control problem of time-delay multiagent systems is a focus of our future research.…”

“…However, it is important to point out that the developed control strategy is not suitable for multiagent systems 60–62 and time‐delay systems 63–65 . Time‐delay multiagent systems have better flexibility and wider applications 66–69 . Accordingly, the optimization control problem of time‐delay multiagent systems is a focus of our future research.…”

Event‐triggered finite‐time reliable filtering of Markov jump nonlinear systems subject to exponential dissipativity

“…The validity of the proposed event‐triggered reliable filter design approach has been illustrated by a numerical example. It should be pointed out that the proposed method can be extended to more complex systems, such as semi‐Markov jump systems, 37 and pure‐feedback nonlinear systems 38 with full state constraints 39 and time delays, 40 which is extremely interesting and worthy of further work.…”

Adaptive fuzzy dual‐performance fault‐tolerant control for interconnected nonlinear systems

“…Recently, the decentralized control has been adopted in the interconnected nonlinear systems, which effectively reduces the computational burden and complexity of the centralized control. The backstepping-based adaptive fuzzy/neural control strategies [1][2][3][4][5][6][7][8][9][10][11] and the decentralized control problems have been extensively studied for the interconnected systems. [12][13][14][15] The adaptive decentralized tracking control problem was addressed in Reference 13 by using backstepping technique and neural network (NN) technique for a class of large-scale nonlinear systems.…”