On output-based accelerated stabilization of a chain of integrators: Implicit Lyapunov-Krasovskii functional approach⁎This work was partially supported by the Ministry of Science and Higher Education of Russian Federation, passport of goszadanie no. 2019-0898, by Government of Russian Federation (Grant 08-08), by the grant of Russian Federation President (No. MD-1054.2020.8, agreement No. 075-15-2020-184). Issue 2 (2020)

• Record Type: Journal Article
• Authors: Nekhoroshikh, Artem N.; Efimov, Denis; Polyakov, Andrey; Perruquetti, Wilfrid; Furtat, Igor B.; Fridman, Emilia
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 5982
• Page End: 5987
• Publication Date: 2020
• Subjects: Implicit Lyapunov-Krasovskii Functional (ILKF) -- nonlinear control -- delay-dependent output feedback -- Linear Matrix Inequalities (LMIs) -- practical stability; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1656
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The problem of output accelerated stabilization of a chain of integrators is considered. Proposed control law nonlinearly depends on the output and its delayed values, and it does not use an observer to estimate the unmeasured components of the state. It is proven that such a nonlinear delayed control law ensures practical output stabilization with rates of convergence faster than exponential. The effective way of computation of feedback gains is given. It is shown that closed-loop system stability does not depend on the value of artificial delay, but the maximum value of delay determines the width of stability zone. The efficiency of the proposed control is demonstrated in simulations.