Stochastic High-order Fully-actuated Systems: Model, Equivalence and Stabilization

Abstract

This paper develops a stochastic high-order fully-actuated systems model that complements the existing highorder fully-actuated system methodology. Different from the deterministic model, stochastic signals can be considered in the proposed version. By employing a high-order operator, the equivalent control and stabilization control laws are obtained to guarantee the global asymptotical stability in probability of the closed-loop system. Finally, the simulation results show the effectiveness of the proposed control schemes.