On exponential stabilization for a class of neutral-type systems with parameter uncertainties: An integral sliding mode approach

Non‐Fragile Observer‐Based Control for Uncertain Neutral‐Type Systems via Sliding Mode Technique

“…Therefore, the sliding surface design can be available. Moreover, it differs from the form proposed in because the error terms e ( t ) and e ( t − τ ) are involved here, which enables to avoid difficulties caused by time‐delays and disturbances as well as the nonlinear perturbations ( i.e. , f ( t , x )) when determining the sliding mode dynamics in the sequel.…”

Robust H -infinity control for a class of neutral-type systems via sliding mode observer

“…However, the general case of the above literature, i.e., when the neutral term existed, was not considered in their models. Meanwhile, the researches on SMC for neutral systems were not taken into account when the case that state of the system might be unmeasured appeared in the existing literature [26][27][28][29]. It should be also noted that the observer-based SMC problem for a class of uncertain nonlinear NTSTD was investigated in [36].…”

“…In the past decades, SMC has proven to be an effective robust control strategy for incompletely modeled or uncertain systems, to mention a few [19][20][21][22][23][24][25][26][27][28][29]. Among them, the SMC for a class of NTSTD with uncertainties in both the state matrices and the input matrix were considered in [26,27], which gave sufficient conditions in terms of LMIs such that the closed-loop system is guaranteed to be asymptotically stable, respectively.…”

“…Based on the neuralnetwork approximation approach, a new SMC scheme was put forward for uncertain NTSTD with unknown nonlinearity that might not satisfy the norm-bounded condition in [28]. In addition, robust exponential stability analysis for a class of parameter uncertain NTSTD was studied via ISMC in [29].…”

Design of sliding-mode observer for a class of uncertain neutral stochastic systems

“…To name a few, SMC for uncertain neutral systems with structural uncertainties has been studied in Niu, Lam, & Wang (2004). In Gao, Liu, & Xu (2013), the problem of robust exponential stability for a class of uncertain neutral systems has been considered on the basis of an integral SMC approach. It is observed that, in spite of the availability of SMC, however, most of the reports are obtained upon the premise that all the system states are accessible.…”