DOI: 10.1049/cth2.12529 ISSN:

Scaled p‐norm and its application in fast time‐synchronized control

Shaocong Wang, Chuxiong Su, Jing Chang, Hao Dai, Jing Li
  • Electrical and Electronic Engineering
  • Control and Optimization
  • Computer Science Applications
  • Human-Computer Interaction
  • Control and Systems Engineering


The definition of scaled p‐norm and its properties are given here. Compared with the norm‐normalized sign function, using scaled p‐norm in the controller design can not only achieve the time‐synchronized stability of non‐linear dynamic systems, but also improve the convergence rate of the system. Besides, the scaled p‐norm is applied to design the consensus protocol for multi‐agent systems, which enables the states of all agents to achieve fast time‐synchronized consensus. The simulation results demonstrate the superiority of this method in improving the convergence rate of the system.

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