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On the Limit Behavior for Multi-Agent Dynamical Systems

Abstract : This paper addresses the optimal control of multiple linear agents in the presence of a set of adversary constraints. This type of constraints makes the convergence of the agents' dynamics towards the "natural" equilibrium position, impossible to fulfill. Therefore, this default equilibrium point has to be replaced by a set of equilibrium points or even accept the existence of limit cycles. Furthermore, the constraints introduced in the transitory optimization problem are non convex. The present paper proposes a dual-mode control strategy which switches between an unconstrained optimum controller and a constrained control law whenever the adversary constraints are activated. The proposed method builds on invariance concepts and proves to be related to eigenstructure assignement problems. The technique exhibits effective performance and is validated here by an illustrative example.
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https://hal-supelec.archives-ouvertes.fr/hal-00683909
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Ionela Prodan, George Bitsoris, Sorin Olaru, Cristina Stoica, Silviu-Iulian Niculescu. On the Limit Behavior for Multi-Agent Dynamical Systems. NGCUV 2012 - 3rd IFAC Workshop on Navigation, Guidance and Control of Underwater Vehicles, Apr 2012, Porto, Portugal. pp.106-111, ⟨10.3182/20120410-3-PT-4028.00019⟩. ⟨hal-00683909⟩

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