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| Content Provider | Springer Nature Link |
|---|---|
| Author | Yu, Chang bin Wang, Yin qiu Shao, Jin liang |
| Copyright Year | 2016 |
| Abstract | In this paper, three optimal linear formation control algorithms are proposed for first-order linear multiagent systems from a linear quadratic regulator (LQR) perspective with cost functions consisting of both interaction energy cost and individual energy cost, because both the collective object (such as formation or consensus) and the individual goal of each agent are very important for the overall system. First, we propose the optimal formation algorithm for first-order multi-agent systems without initial physical couplings. The optimal control parameter matrix of the algorithm is the solution to an algebraic Riccati equation (ARE). It is shown that the matrix is the sum of a Laplacian matrix and a positive definite diagonal matrix. Next, for physically interconnected multi-agent systems, the optimal formation algorithm is presented, and the corresponding parameter matrix is given from the solution to a group of quadratic equations with one unknown. Finally, if the communication topology between agents is fixed, the local feedback gain is obtained from the solution to a quadratic equation with one unknown. The equation is derived from the derivative of the cost function with respect to the local feedback gain. Numerical examples are provided to validate the effectiveness of the proposed approaches and to illustrate the geometrical performances of multi-agent systems. |
| Starting Page | 96 |
| Ending Page | 109 |
| Page Count | 14 |
| File Format | |
| ISSN | 20959184 |
| Journal | Journal of Zhejiang University SCIENCE C |
| Volume Number | 17 |
| Issue Number | 2 |
| e-ISSN | 20959230 |
| Language | English |
| Publisher | Zhejiang University Press |
| Publisher Date | 2016-02-06 |
| Publisher Place | Hangzhou |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Linear quadratic regulator (LQR) Formation control Algebraic Riccati equation (ARE) Optimal control Multi-agent systems Computer Science Electrical Engineering Computer Hardware Computer Systems Organization and Communication Networks Electronics and Microelectronics, Instrumentation Communications Engineering, Networks |
| Content Type | Text |
| Resource Type | Article |
| Subject | Signal Processing Computer Networks and Communications Electrical and Electronic Engineering Hardware and Architecture |
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