2009
DOI: 10.1017/s0263574708005316
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A model predictive controller for robots to follow a virtual leader

Abstract: SUMMARYIn this paper, we develop a model predictive control (MPC) scheme for robots to follow a virtual leader. The stability of this control scheme is guaranteed by adding a terminal state penalty to the cost function and a terminal state region to the optimization constraints. The terminal state region is found by analyzing the stability. Also a terminal state controller is defined for this control scheme. The terminal state controller is a virtual controller and is never used in the control process. Two vir… Show more

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Cited by 29 publications
(8 citation statements)
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“…t o denotes the duration that the robots spent colliding with obstacles as they moved through the obstacles. The definition of n and d i j are the same as in (5). The smaller the cost of C f m and C po , the better the system's performance.…”
Section: Simulations and Discussionmentioning
confidence: 99%
“…t o denotes the duration that the robots spent colliding with obstacles as they moved through the obstacles. The definition of n and d i j are the same as in (5). The smaller the cost of C f m and C po , the better the system's performance.…”
Section: Simulations and Discussionmentioning
confidence: 99%
“…Other authors expand upon this approach with other control strategies, such as dynamic feedback linearisation [43], model predictive control [44], [45], and first and second order sliding mode control [46].…”
Section: Leader-follower Approachesmentioning
confidence: 99%
“…A classical leader-following approach was presented in [6], and a similar strategy was also applied in [7] for implementing the separation-bearing control and separation-separation control. Another studies and applications can be found in [8], and several control techniques, such as model predictive control [9] and sliding mode control [10], were employed to implement the leader-following strategy. The leader-following approach is decentralized, conceptually simple and widely employed in the multivehicle formation control.…”
Section: A Formation Control Strategiesmentioning
confidence: 99%