Journal of Intelligent & Fuzzy Systems 38 (2020) 4173–4190
DOI:10.3233/JIFS-190531
IOS Press
4173
Distributed adaptive output-feedback fault
tolerant control for nonlinear systems
with sensor faults
Jianye Gong
a
, Bin Jiang
b
and Qikun Shen
a,∗
a
College of Information Engineering, Yangzhou University, Yangzhou, China
b
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Abstract. This paper studies the distributed adaptive output-feedback fault tolerant control problem for leader-following
multiagent systems with sensor faults. By using the approximation theory of neural networks, an unknown continuous function
is approximated, and the problem that the neural network output deviates from the true approximation of the unknown function
due to the faults of neural network input is solved. A filter observer is adopted to estimate the unmeasurable states. Based on
the adaptive backstepping technique and fault tolerant control technique, a distributed adaptive neural output-feedback control
scheme is proposed to guarantee the output consensus of all nodes under directed communication graphs. Based on graph
theory and Lyapunov stability theory, it is proved that the proposed adaptive neural control scheme guarantees the uniformly
ultimate boundness of the closed-loop systems, and the tracking errors converge to a small adjustable neighborhood of the
origin. The simulation results demonstrate the effectiveness of the control approach in this paper.
Keywords: Fault tolerant control, adaptive control, multiagent systems
1. Introduction
During the past decades, studies on the topic of
distributed cooperative control of multiagent systems
have received increasing attention, mainly due to
its widespread application in the field of production
and engineering, such as mobile robots, unmanned
air vehicles flying, power systems, etc. [1–5]. For
multiagent systems, one of the fundamental research
problem is consensus, which has been studied exten-
sively. Consensus can be roughly categorized into two
forms, i.e., leaderless consensus and leader-following
consensus. Many researches have been done for the
cooperative control problem of multiagent systems
∗
Corresponding author. Qikun Shen, College of Information
Engineering, Yangzhou University, Yangzhou, China. E-mail:
qkshen@yzu.edu.cn.
[3–6]. In [6], adaptive synchronization controllers
were designed for distributed systems having non-
identical unknown nonlinear dynamics. In [7], a
practical design method was proposed for cooperative
tracking control of high-order nonlinear multiagent
systems with a dynamic leader.
It should be noted that adaptive fuzzy or neural net-
work (NN) control schemes have played an important
role to solve the uncertain nonlinearities in modern
control theory [7–12]. In the past decades, a vari-
ety of adaptive cooperative control approaches have
been proposed for multiagent systems [8–12]. In [8],
a NN-based adaptive approach was developed for
the leader-following control for multiagent systems
with uncertain dynamics and external disturbances.
In [9], the cooperative control problems of nonlinear
multiagent systems with unmodeled dynamics were
investigated, and a distributed neural-networks-based
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