Continuous fixed-time nonsingular terminal sliding mode control of second-order nonlinear systems with matched and mismatched disturbances

Abstract

This paper investigates fixed-time nonsingular terminal sliding mode control of second-order nonlinear systems in the presence of matched and mismatched disturbances. Using estimation of the mismatched disturbance estimated by a fixed-time disturbance observer, a novel nonlinear dynamic sliding surface is designed. The convergence time of the closed-loop system including disturbance observer and control system is guaranteed to be uniform with respect to initial conditions. Moreover, the proposed controller avoids chattering phenomenon by producing a continuous control signal.

Design of Parallel Cascade Controller for Nonlinear Continuous Stirred Tank Reactor

“…The similar achievement is also envisaged under the effect of load disturbances [2]. To achieve such performance, a proper controller designed technique [3][4][5][6][7][8][9][10] in a suitable structure is required. Many authors [11][12][13] have proposed techniques to obtained the desired performance for NCSTR by considering the various dynamical models in single loop configuration.…”