2013/04/01 by Ahmed Rhif, Rhif, Ahmed, Zohra Kardous +2
Engineering · #Adaptive Control of Nonlinear Systems #Computational Engineering #Dynamical Systems (math.DS) #Dynamics and Control of Mechanical Systems #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Finance #Fluid Dynamics Simulations and Interactions #Optimization and Control (math.OC) #Systems and Control (eess.SY) #and Science (cs.CE) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1304.0321
openalex publication_date 2013/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This paper provides new analytic tools for a rigorous control formulation and stability analysis of sliding mode-multimodel controller (SM-MMC). In this way to minimise the chattering effect we will adopt as a starting point the multimodel approach to change the commutation of the sliding mode control (SMC) into fusion using a first order then a high order sliding mode control with single sliding surface and, then, with several sliding surfaces. For that the stability conditions invoke the existence of two Lyapunov-type functions, the first associated to the passage to the sliding set in finite time, and the second with convergence to the desired state. The approaches presented in this work are simulated on the immersion control of a submarine mobile which presents a problem for the actuators because of the high level of system non linearity and because of the external disturbances. Simulation results show that this control strategy can attain excellent performances with no chattering problem and low control level.