论文标题
一类多基因系统的次优共识协议设计
Suboptimal Consensus Protocol Design for a Class of Multiagent Systems
论文作者
论文摘要
本文介绍了针对一系列多种系统系统的次优共识协议设计的新技术。该技术是基于新开发的足够条件的次级线性季度最佳控制设计的扩展，在本文中，该设计是通过在Krotov框架中的无限 - 马线性二次调节问题的非介质解决方案技术的解释来得出的。对于次优共识协议设计，整体反馈增益矩阵的结构要求固有地由代理动力学及其相互作用拓扑施加，是对在适当配方的凸优化问题中引入的特定矩阵进行了重新铸造的。结果，不需要针对同质代理网络的相同反馈增益矩阵，该矩阵不需要相对状态变量。通过隐式推导凸优化问题和初始条件的解决方案，而不是先验地指定它，从而量化了计算控制定律的次要性。提供了数值示例，以证明所提出的方法的实施及其与文献中现有方法的比较。
This article presents a new technique for suboptimal consensus protocol design for a class of multiagent systems. The technique is based upon the extension of newly developed sufficient conditions for suboptimal linear-quadratic optimal control design, which are derived in this paper by an explication of a noniterative solution technique of the infinite-horizon linear quadratic regulation problem in the Krotov framework. For suboptimal consensus protocol design, the structural requirements on the overall feedback gain matrix, which are inherently imposed by agents dynamics and their interaction topology, are recast on a specific matrix introduced in a suitably formulated convex optimization problem. As a result, preassigning the identical feedback gain matrices to a network of homogeneous agents, which acts on the relative state variables with respect to their neighbors is not required. The suboptimality of the computed control laws is quantified by implicitly deriving an upper bound on the cost in terms of the solution of a convex optimization problem and initial conditions instead of specifying it a priori. Numerical examples are provided to demonstrate the implementation of proposed approaches and their comparison with existing methods in the literature.
