Cooperatively Dynamic Prescribed Performance Control for Output Synchronization of Networked Nonlinear Systems

Abstract

This paper investigates the output synchronization problem for multiple parametric strict feedback (PSF) systems with unknown control directions. Prescribed performance control is employed to simultaneously ensure both transient and steady-state properties through the recursively designed controller. It differs from existing studies primarily in the following aspects: 1) A novel predetermined performance function is devised, which cooperatively adapts with the neighborhood error. 2) The neighborhood error evolves within specified boundaries and ultimately converges to zero. 3) The controller design integrates event-triggered control and its finite-time filter, which reduces the frequency of controller updates the computational loads. 4) The neighbourhood information required for agent i to construct its controller is drastically reduced, i.e., the entire network transmits only $x_{j1}$ and $x_{j2}$ . Consequently, the communication burden on the network is reduced. The proposed controller’s efficacy is confirmed through theoretical analysis and numerical simulations.

Keywords

• Unknown control direction
• cooperatively dynamic prescribed performance control (CDPPC)
• event-triggered control (ETC)
• output synchronization