Sliding Mode Control Design for MIMO Systems: Implicit Lyapunov Function Approach

In this paper, we present Lyapunov-based robust and adaptive Higher Order Sliding Mode (HOSM) controllers for nonlinear SISO systems with bounded uncertainty.. The proposed

An approximation of the sign function has been given based on delayed values of the processed variable, which ensures chattering reduction for the sliding mode control and

The stability theorems presented in the paper introduce the ILKF method for Lyapunov, asymptotic, (hyper) exponential and non-asymptotic (finite-time and fixed- time) stability

We have shown that it is possible to combine an Implicit Lyapunov function, obtained using the ILF method, with some extra terms to design integral controllers of arbitrary positive

Since the design of (memoryless) homogeneous continu- ous or discontinuous feedback controllers using the Implicit Lyapunov Function (ILF) method [6] greatly simplifies the gain

Theorems on finite-time and fixed-time stability provide rigorous mathematical justifications of formal applying non-Lipschitz Lyapunov functions presented in [23, 24, 25] for

Perruquetti, “Sliding mode control design for mimo systems: Implicit lyapunov function approach,” in European Control Conference (ECC), 2014, pp. Levant, “On fixed and finite

It deals with the problem of closed-loop (feedback) control, using Sliding Mode methodology in order to design a robust feedback which tracks a given setpoint.. 2.2 Experimental