Section: New Results

Sliding Mode Control And Estimation

Sliding mode algorithms are very popular for finite-time estimation and regulation. The recent results obtained by the group are as follows:

• In [71] the high-order sliding mode control design algorithm has been developed for MIMO system using ILF Method. Procedure for tuning of control parameters is presented using Linear Matrix Inequalities.

• A novel hybrid automaton admitting the modeling of both conventional and modern(high order) sliding mode systems is presented [65] . A scheme for defining hybrid-automaton executions beyond Zeno points is proposed by means of introduction of Filippov-like executions.

• The paper [35] surveys mathematical tools required for stability/convergence analysis of modern sliding mode control systems and introduces the generalized Lyapunov theorems. Application of these results to finite-time stability analysis and settling time estimation of twisting second order sliding mode controller are given [73] .

• The problem of the sliding mode control design is considered in [81] for the linear time-invariant disturbed system with the noised measurements of the output. The control law, which provides to the closed-loop system the optimal reaching (as close as possible) of the selected sliding surface, is designed using minimax state observer.

• The paper [50] deals with a signal-based method for robust and early detection of lock-in-place failures (a.k.a. jamming) in aircraft control surface servo-loops. The signal-based scheme is proposed using a sliding-mode differentiator. The developed monitoring scheme has been tested on Airbus test facilities located at Toulouse, France.

• In the paper [79] , we investigate the problem of adaptive observer for simultaneous estimation of state and parameter for a class of nonlinear systems.Necessary condition for the existence of such an observer is derived. The paper [76] uses developed technique for states estimation and parameter identification for nonlinear Dengue epidemic model.

• The paper [80] investigates the problem of global finite-time observer design for a class of nonlinear systems which can be transformed into the output depending normal form.