Weighted $${\mathcal {H}}_{\infty }$$ H ∞ consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies

Nonlinear Dynamics - This paper is devoted to weighted $${\mathcal {H}}_{\infty }$$ consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT)...     

Quantized state feedback-based $$\varvec{\mathcal {H}_\infty }$$ H ∞ control for nonlinear parabolic PDE systems via finite-time interval

Nonlinear Dynamics - In this paper, the finite-time $${\mathcal {H}}_\infty $$ control problem of nonlinear parabolic partial differential equation (PDE) systems with parametric uncertainties is...     

$$\pmb {H_\infty }$$ H ∞ fusion estimation of time-delayed nonlinear systems with energy constraints: the finite-horizon case

Nonlinear Dynamics - The fusion estimation issue of sensor networks is investigated for nonlinear time-varying systems with energy constraints, time delays as well as packet loss. For the addressed...     

Multistage γ-level \mathcal{H}_{\infty} control for input-saturated systems with disturbances

For input-saturated systems with disturbances, states in the domain of attraction cannot converge to the origin, but only to neighborhood around it. In order to design the smallest possible target invariant set and the largest possible domain of attraction, in this paper, we introduce a multistage γ-level $\mathcal{H}_{\infty}$ control for achieving a smaller target invariant set within a given $\mathcal{H}_{\infty}$ performance level and a larger domain of attraction than results obtained in previous studies. In particular, for the case in which the disturbances satisfy a matched condition, this paper introduces an $\mathcal{H}_{\infty}$ control with an extra control part to perfectly reject these disturbances despite the uncertainties; the introduction of the $\mathcal{H}_{\infty}$ control with an extra control part causes the target invariant set to shrink to the origin and the $\mathcal{H}_{\infty}$ performance level to become zero.     

Robust event-triggered $${\varvec{H}}_{{\varvec{\infty }}}$$ H ∞ controller design for vehicle active suspension systems

Nonlinear Dynamics - In this paper, we investigate the event-triggered $$H_\infty $$ controller synthesis issue for vehicle suspension systems with linear fractional uncertainties. An active...     

Event-triggering $${H}_{infty }$$ H ∞ -based observer combined with NN for simultaneous estimation of vehicle sideslip and roll angles with network-induced delays

Nonlinear Dynamics - Nowadays, vehicles are being fitted with systems that improve their maneuverability, stability, and comfort in order to reduce the number of accidents. Improving these aspects...     

Evolution behaviour of kink breathers and lump- $$\pmb {M}$$ M -solitons ( $$\pmb {M\rightarrow \infty }$$ M → ∞ ) for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation

Nonlinear Dynamics - In this paper, some novel lump solutions and interaction phenomenon between lump and kink M-soliton are investigated. Firstly, we study the evolution and degeneration behaviour...     

Sliding mode control for uncertain active vehicle suspension systems: an event-triggered $$varvec{mathcal {H}}_{infty }$$ H ∞ control scheme

Nonlinear Dynamics - This paper considers the event-triggered sliding mode control problem of uncertain active vehicle suspension systems. A more comprehensive polytope approach is employed to...     

Robust $$H_{\infty }$$ H ∞ adaptive output feedback sliding mode control for interval type-2 fuzzy fractional-order systems with actuator faults

Nonlinear Dynamics - This paper addresses the $$H_{\infty }$$ adaptive output feedback sliding mode fault-tolerant control problem for uncertain nonlinear fractional-order $$\hbox {systems}$$...