Finite-time consensus protocols for multi-dimensional multi-agent systems

• A finite-time consensus protocol is proposed for multi-dimensional multi-agent systems, using direction-preserving signum controls. Filippov solutions and nonsmooth analysis techniques are adopted to handle discontinuities. Sufficient and necessary conditions are provided to guarantee infinite-time convergence and boundedness of the solutions. It turns out that the number of agents which have continuous control law plays an essential role in finite-time convergence. In addition, it is shown that the unit balls introduced by ℓp norms, where p∈ [1 , ∞] , are invariant for the closed loop.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Finite-time convergence

Multi-agent systems

Network consensus

Nonsmooth analysis

Control engineering

Continuous control

Filippov solutions

Finite-time consensus

Infinite time convergence

Multi dimensional

Non-smooth analysis

Sufficient and necessary condition

Multi agent systems

Publication and Content Type

ref (subject category)

art (subject category)