This paper proposed a linear matrix inequality (LMI)-based design method of non-fragile guaranteed cost controllers for multi-agent systems (MASs) with leader-follower structures. In the guaranteed cost control approach, the resultant controller guarantees an upper bound on the given cost function together with asymptotical stability for the closed-loop system. The proposed non-fragile guaranteed cost control system can achieve consensus for MASs despite control gain perturbations. The goal is to develop an LMI-based sufficient condition for the existence of the proposed non-fragile guaranteed cost controller. Moreover, a design problem of an optimal non-fragile guaranteed cost controller showe that minimizing an upper bound on the given quadratic cost function can be reduced to constrain a convex optimization problem. Finally, numerical examples were given to illustrate the effectiveness of the proposed non-fragile controller for MASs.
Synthesis of Formation Control Systems for Multi-Agent Systems under Control Gain Perturbations
2020-04-01
doi:10.46604/aiti.2020.4136
Advances in Technology Innovation; Vol 5 No 2 (2020): April; 112-125 ; 2518-2994 ; 2415-0436
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
DDC: | 629 |
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