Observer-based adaptive sliding mode control for nonlinear Markovian jump systems

Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach

“…Assumptions 1, 2, and 3 are standard assumptions for time-delay systems which can be found in most existing literatures. For Assumption 4, in recent studies [4][5][6][7], it is required in this technical note that the exogenous disturbances must be bounded by a known function of the outputs. In practical cases, these conditions are often difficult to meet.…”

“…It commonly leads to an instability and/or reduces the system performance in the closed-loop system [3]; hence, the stability of the time-delay uncertain system has been attracting the interest of a large number of quality papers published in the most recently internationally renowned journals [4][5][6][7][8] and the related references therein. Thanks are due to some distinguished features of the VSC such as finite-time convergence, fast dynamic response, good robustness, exogenous perturbations rejection ability, and its insensitivity to parameter variations.…”

“…In [5], the OFC was proposed, which assumed that the norm of states and norm of observer error have to be bounded output signal, for a class of uncertain neural systems with unmeasured states. It should be pointed out that the recent works [4][5][6][7] have some serious limitations, where it is required that the exogenous disturbances must be bounded by a known function of the outputs. Moreover, all published works have represented the OFC based on FOO, which increases the computation of burden due to the associated closed-loop systems.…”

“…In many practical systems, the state variables are not measured directly or the number of measuring devices is limited. Hence, the works of OFC based on FOOs/ROOs were investigated by many authors [4][5][6][7][8]28]. In [28], the OFC was represented for Itô stochastic time-delay systems by utilizing the FOO tool and measured output.…”

“…In [8], the OFC was designed for uncertain time-delay systems where stochastic perturbations must satisfy stringent Lipschitz condition. Recently, the study [4] was conducted to design OFC based on FOO for nonlinear Markovian jump systems with partly unknown transition probabilities. In [5], the OFC was proposed, which assumed that the norm of states and norm of observer error have to be bounded output signal, for a class of uncertain neural systems with unmeasured states.…”