ABSTRACT
This paper investigates the fixed-time control of switched neutral Filippov systems using semi-intermittent and completely intermittent control strategies. Novel fixed-time stability lemmas are established for both semi-intermittent and completely intermittent control schemes. The semi-intermittent lemma incorporates an indefinite function and a unified exponent condition on the Lyapunov function, while the completely intermittent lemma relies solely on the unified exponent condition. These conditions offer significant advantages in terms of generality and applicability. The proposed stability lemmas are entirely new and generalize existing results, including non-intermittent and periodically intermittent stability lemmas. As an application, a switched neutral Filippov system is formulated, which extends previous models by incorporating greater generality. The fixed-time stability of the zero solution for the controlled system is rigorously analyzed under both discontinuous and bounded intermittent controllers. Notably, bounded controllers are shown to be more effective in reducing convergence time, thereby offering a faster stabilization approach. To validate the theoretical findings, numerical simulations of a drilling system modeled by the switched neutral Filippov system are presented, demonstrating the efficacy of the proposed control strategies.
International Journal of Robust and Nonlinear Control, EarlyView. Read More
