Gain scheduling consensus of multi-agent systems subject to actuator saturation

ABSTRACT

This paper presents a gain scheduling approach for achieving the consensus tracking of multi-agent systems with actuator saturation. We first construct a series of nesting ellipsoid invariant sets associated with consensus errors. When the consensus errors stay between the two ellipsoid invariant sets, the feedback gains keep constant, but when the consensus errors enter into the smaller ellipsoid invariant set, the feedback gains abruptly become larger. By combining this gain scheduling technique and the parametric Lyapunov equations, we, respectively, design state and output feedback gain scheduling protocols. Their main advantage, in comparison with the fixed case, is that the convergence rate of consensus tracking can be enhanced by scheduling the gain parameters. Numerical simulations verify the effectiveness of theoretical analysis.

KEYWORDS:

• Actuator saturation
• gain scheduling
• invariant set
• multi-agent systems
• switching networks

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This paper was supported by the National Science Foundation of China [grant numbers 61471275, 61722312, 61473183, U1509211] and Natural Science Foundation of Hubei Province of China [grant number 2017CFB719].