Dynamic Event-Triggered Impulsive Control for Stochastic Nonlinear Systems With Extension in Complex Networks

Self Cite

This article presents a new dynamic triggering mechanism for fault-tolerant control of linear systems. In this mechanism, the dynamic threshold is constructed by instantaneous and averaged triggering errors with its bounds. Consequently, it can be automatically adjusted between the bounds. A new intermediate observer is built in the proportional-integral form to improve the estimation accuracy. The corresponding fault-tolerant controller is explored to actively compensate unknown faults. By resorting to the Lyapunov stability theory, a sufficient condition is obtained in terms of linear matrix inequalities to make the closed-loop system uniformly ultimately bounded with the required H ∞ performance. The elitist nondominated sorting genetic algorithm version II (NSGA-II) is adopted to realize the multiobjective optimization of the H ∞ performance index 𝛾 and the allowable inter-event time T k . Finally, the proposed scheme is verified with two simulation examples.

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic event‐triggered fault‐tolerant control through a new intermediate observer

Shen

Ahn

2023

Self Cite

“…[7][8][9][10][11][12] Also, numerous applications have been obtained in practical practice, such as mechanical systems, 13 multi-intelligent systems, 14,15 and network control systems. [16][17][18] In fact, it is inevitable that disturbances will be encountered in actual systems due to uncertainties in the inputs and outputs of the system or in the system itself. For example, pharmacology has the problem of changes in drug standards in an organ after drug uptake (or intramuscular injection), 19 the effects of heat coefficients, unknown flow coefficients and temperature variations on pneumatic cylinders in pneumatic servo-driven systems, 20 and the problem of state changes in biological populations due to abrupt environmental influences.…”

Section: Introductionmentioning

confidence: 99%

Robust stability/stabilization with variable convergence rate for uncertain impulsive stochastic systems

Zhang

Xie

2023

This article researches the interval‐driven variable convergence rate robust stability/stabilization of uncertain impulsive stochastic systems. First, a new conception of variable convergence rate stability for uncertain impulsive stochastic systems is presented in conjunction with the idea of generalized pole configurations. Also, a new criterion for variable convergence rate robust stability/stabilization of uncertain impulsive stochastic systems is given, which can reflect and regulate the convergence rate of the system state. In addition, a new algorithm is designed by means of an interval‐driven stabilization method. This algorithm, combined with the variable convergence rate criterion, achieves accurate control of the convergence rate of the state at the operational level. Double instances are proposed to verify the superiority of the method.

Stability and guaranteed cost control for linear impulsive systems with random impulses: Application to stochastic event‐triggered control

Luo,

Zhong,

Jiang

et al. 2023

SummaryThis paper proposes a systematic framework for stability and guaranteed cost control of linear impulsive systems subject to random time‐ and event‐triggering impulses. Moment stability criteria and design methods of time‐ and event‐triggered controllers with guaranteed quadratic performance for the impulsive system are established. It shows that the proposed event‐triggered controller in the sense that it guarantees at least the same quadratic performance function bound as the designed time‐triggered guaranteed cost controller, however, with a larger, or at most equal, average inter‐transmission time. Based on the proposed framework of random‐impulses systems, a stochastic dynamic event‐triggered control strategy is proposed to solve sampled‐data control systems in the presents of sporadic measurements or stochastic sampling. Numerical simulations illustrate the effectiveness of the proposed theoretical results.