Disturbance‐observer‐based control & ℋ _∞ control for non‐linear Markovian jump singular systems with multiple disturbances

Uniform stable observer for the disturbance estimation in two renewable energy systems

“…Considering the real parts of the eigenvalues in A 0 are negative, e A 0 t will converge to zero; consequently, it gives (27).□…”

“…In [26], the authors study a singular perturbation margin and a generalized gain margin for linear time-invariant systems from the view of perturbations. The problem of composite hierarchical anti-disturbance control is addressed in [27]. In [28], the problems of the composite disturbance-observer-based output feedback control and passive control for Markovian jump systems with multiple disturbances are considered.…”

“…From the aforementioned research, in [1,7,14,22,25,[27][28][29][30][31], the authors have used observers for the disturbance estimation; thus, it should be interesting to analyze the stability and convergence of this observer for the estimation of the states and disturbance.…”

Composite anti‐disturbance resilient control for Markovian jump nonlinear systems with partly unknown transition probabilities and multiple disturbances

“…In [32][33][34][35], the CHADC schemes have been proposed for a class of Markovian jump nonlinear system with multiple disturbances. However, in the given literature, the transition probability matrix is assumed to be completely known.…”

Disturbance‐observer–based control for Markov jump systems with time‐varying delay

“…This paper will study the issue of control for MJSs with time delay and disturbance uncertainties via DOBC. First, the literatures mainly investigated the MJSs without time delay, whereas the model in this paper includes time delay. Second, the designed controller in the works of Yao and Guo, Yao et al, and Li et al is mode‐dependent, whereas the mode‐dependent controller and the mode‐independent controller are designed in this paper.…”