Abstract
In this paper, adaptive guaranteed-performance consensus control problems for multiagent systems with an adjustable convergence speed are investigated. A novel adaptive guaranteed-performance consensus protocol is proposed, where the communication weights can be adaptively regulated. By the state space decomposition method and the stability theory, sufficient conditions for guaranteed-performance consensus are obtained and the guaranteed-performance cost is determined. Moreover, the lower bound of the convergence coefficient for multiagent systems is deduced, which is linearly adjustable approximately by changing the adaptive control gain. Finally, simulation examples are introduced to demonstrate theoretical results.
Highlights
In recent years, by the incentive effects of spacious applications, such as synchronization[1,2], formation control[3,4,5], cluster flight[6,7,8] and other fields[9,10,11], there is considerable attention in distributed cooperative control of multi-agent systems
The current paper studies adaptive guaranteed-performance consensus control for multiagent systems with an adjustable convergence speed
A new adaptive guaranteed-performance consensus scheme for multi-agent systems with an adjustable convergence speed was proposed in this paper
Summary
By the incentive effects of spacious applications, such as synchronization[1,2], formation control[3,4,5], cluster flight[6,7,8] and other fields[9,10,11], there is considerable attention in distributed cooperative control of multi-agent systems. In some practical complex multi-agent systems, except for the requirements of achieving consensus, the consensus performance need to be taken into consideration. Speaking, when consensus should be achieved in multi-agent systems and under the condition that certain cost functions included in constraints are identified as minimum or maximum, one can model these correlative issues as optimal or suboptimal consensus. Guan et al.[18] studied the guaranteed-performance consensus problem for second-order multi-agent systems, and a performance function was provided for evaluating the performance of each agent based on impulsive control methods. Aiming at high-order multi-agent systems, some researchers introduced effective guaranteed-performance consensus algorithms to solve existing problems in [19,20,21,22]. Many innovative and significant results were given in [16,17,18,19,20,21,22], the convergence speed of multi-agent systems was not considered, which was one of the most important aspects for the system evaluation
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