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Optimal control of discrete-time nonlinear heterogeneous multi-agent systems via a distributed disope algorithm

OPTIMAL CONTROL APPLICATIONS & METHODS 2023年第1期44卷 148-169页

作者： Wang, Zhenhua Li, Junmin Xidian Univ Sch Math & Stat Xian Shaanxi Peoples R China Xianyang Normal Univ Sch Math & Stat Xianyang Shaanxi Peoples R China

A distributed offline disope algorithm for optimal state synchronization of leader-follower systems with nonlinear discrete-time dynamics is considered, which integrates the model optimization idea and parameter estimation technique together. It can be seen that the convergent solutions of modified linear optimal control problems satisfy the optimality conditions of the original nonlinear optimization problem with non-LQ performance indices. The heterogeneous agents can cooperate and exchange information via network communication. Based on disope algorithm, a distributed optimal control policy is obtained to assure state synchronization and minimize performance indices in finite time horizon. Finally, a simulation example is provided to illustrate the effectiveness of the distributed disope algorithm.

关键词： algorithm mapping distributed disope algorithm nonlinear discrete-time dynamics optimal state synchronization

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distributed optimal consensus control for nonlinear multiagent systems based on disope algorithm

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OPTIMAL CONTROL APPLICATIONS & METHODS 2019年第3期40卷 517-528页

作者： Sun, Jinghan Li, Junmin Xidian Univ Sch Math & Stat Xian 710071 Shaanxi Peoples R China

In this note, a distributed dynamic integrated system optimization and parameter estimation (disope) algorithm for nonlinear multiagent system with general local finite time horizon performance index is proposed, which integrates the model optimization and parameter estimation techniques. Two difficult issues for optimal consensus problem, nonlinear multiagent system and nonlinear quadratic performance index, are considered. With the help of disope algorithm, a distributed optimal control policy is designed to minimize the local performance index in finite time horizon. Furthermore, the convergence of distributed disope algorithm is given, such that the convergence solution satisfies the optimality conditions. Finally, a simulation is employed to show the effectiveness of the distributed disope algorithm.

关键词： distributed disope algorithm local finite time horizon performance index LQ problem optimal consensus control

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