scholarly journals Observer-based leader-following formation control of uncertain multiple agents by integral sliding mode

2017 ◽  
Vol 65 (1) ◽  
pp. 35-44 ◽  
Author(s):  
D.W. Qian ◽  
S.W. Tong ◽  
C.D. Li
Keyword(s):  
Formation Control ◽  
Sliding Mode ◽  
Multiple Agents ◽  
Nonlinear Disturbance Observer ◽  
Integral Sliding Mode ◽  
Agent Platform ◽  
Control Scheme ◽  
Mild Assumption ◽  
Leader Following ◽  
Multi Agent

Abstract This paper investigates the formation control problem of multiple agents. The formation control is founded on leader-following approaches. The method of integral sliding mode control is adopted to achieve formation maneuvers of the agents based on the concept of graph theory. Since the agents are subject to uncertainties, the uncertainties also challenge the formation-control design. Under a mild assumption that the uncertainties have an unknown bound, the technique of nonlinear disturbance observer is utilized to tackle the issue. According to a given communication topology, formation stability conditions are investigated by the observer-based integral sliding mode formation control. From the perspective of Lyapunov, not only is the formation stability guaranteed, but the desired formation of the agents is also realized. Finally, some simulation results are presented to show the feasibility and validity of the proposed control scheme through a multi-agent platform.

scholarly journals Integral sliding mode-based formation control of multiple unertain robots via nonlinear disturbane observer

2016 ◽  
Vol 13 (6) ◽  
pp. 172988141667769 ◽  
Author(s):  
Dianwei Qian ◽  
Chengdong Li ◽  
Shiwen Tong ◽  
Lu Yu
Keyword(s):  
Sliding Mode Control ◽  
Disturbance Observer ◽  
Formation Control ◽  
Sliding Mode ◽  
Nonlinear Disturbance Observer ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Control Scheme ◽  
Nonlinear Disturbance

This article proposes a control scheme for formation of maneuvers of a team of mobile robots. The control scheme integrates the integral sliding mode control method with the nonlinear disturbance observer technique. The leader–follower formation dynamics suffer from uncertainties originated from the individual robots. The uncertainties challenge the formation control of such robots. Assuming that the uncertainties are unknown but bounded, an nonlinear disturbance observer-based observer is utilized to approximate them. The observer outputs feed on an integral sliding mode control-based controller. The controller and observer are integrated into the control scheme to realize formation maneuvers despite uncertainties. The formation stability is analyzed by means of the Lyapunov’s theorem. In the sense of Lyapunov, not only the convergence of the approximation errors is guaranteed but also such a control scheme can asymptotically stabilize the formation system. Compared to the results by the sole integral sliding mode control, some simulations are presented to demonstrate the feasibility and performance of the control scheme.

Multi-Agent Tracking of Non-Holonomic Mobile Robots via Non-Singular Terminal Sliding Mode Control

Robotica ◽  
2019 ◽  
Vol 38 (11) ◽  
pp. 1984-2000 ◽  
Author(s):  
Bilal M. Yousuf ◽  
Abdul Saboor Khan ◽  
Aqib Noor
Keyword(s):  
Mobile Robots ◽  
Formation Control ◽  
Sliding Mode ◽  
External Disturbance ◽  
Tracking Error ◽  
Kinematic Model ◽  
Tracking Problem ◽  
Terminal Sliding Mode ◽  
Control Scheme ◽  
Multi Agent

SUMMARYThis paper deals with the problem of the formation control of nonholonomic mobile robots in the leader–follower scenario without considering the leader information, as a result of its velocity and position. The kinematic model is reformulated as a formation model by incorporating the model uncertainties and external disturbance. The controller is presented in the two-step process. Firstly, the tracking problem is taken into consideration, which can be used as a platform to design a controller for the multi-agents. The proposed controller is designed based on a non-singular fast terminal sliding mode controller (FTSMC), which drives the tracking error to zero in finite time. It not only ensures the tracking but also handles the problem related to non-singularities. Moreover, the design control scheme is modified using high-gain observer to resolve the undefined fluctuations due to man-made errors in sensors. Secondly, the multi-agent tracking problem is considered; hence, a novel formation control is designed using FTSMC, which ensures the formation pattern as well as tracking. Furthermore, the obstacle avoidance algorithm is incorporated to avoid the collision, inside the region of interest. With the Lyapunov analysis, the stability of the proposed algorithm is verified. As a result, simulated graphs are shown to prove the efficacy of the proposed control scheme.

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