Exponential stabilisation of positive singular linear discrete‐time delay systems with bounded control

Phát, Vũ Ngọc; Sau, Nguyen Huu

doi:10.1049/iet-cta.2018.5150

Cited by 15 publications

(1 citation statement)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Singular systems, also known as generalized systems, are more complex systems than general systems, consisting of faster-changing differential systems and slower-changing algebraic equations [1][2][3]. There are still many unsolved problems waiting to be studied, and the study of singular systems is very meaningful.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model

Cao

Chen

2023

Mathematics

View full text Add to dashboard Cite

In this paper, a mathematical model based on the T-S fuzzy model is proposed to solve the fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD is is extremely difficult to solve and the Laplace transform is devised to build an equal system free of TVD. Additionally, the sensor fault is changed to actuator fault by the developed coordinate transformation. A fuzzy learning fault estimator is first built to estimate the detailed sensor fault information. Then, a PI FTC scheme is suggested aiming at minimizing the damage caused by the fault. Simulation results from multiple faults reveal that the FE and FTC algorithms are able to estimate the fault and guarantee the system performance properly.

show abstract

Section: Introductionmentioning

confidence: 99%

Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model

Cao

Chen

2023

Mathematics

View full text Add to dashboard Cite

show abstract

Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

Wang,

Li,

et al. 2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

SummaryThis paper addresses the guaranteed performance control problem for a class of singular switched positive systems, where the switching signal is subject to a state‐dependent process. Firstly, the causality, regularity, positivity, and asymptotical stability of the considered systems are discussed. In order to prevent the occurrence of data collisions and reduce the consumption of communication resources, the event‐triggered (E‐T) mechanism is applied. This is one of the initial attempts to introduce the E‐T scheme for such special systems. Besides, an asynchronous nonfragile controller under the E‐T scheduling scheme is designed to make certain that the resulting closed‐loop systems are causal, regular, positive, asymptotically stable, and have a guaranteed performance value . Through the application of the co‐positive Lyapunov function method and the min‐projection strategy, the corresponding sufficient conditions are given in the form of linear programming (LP). Finally, the effectiveness of the controller proposed in this paper is verified via two simulation examples.

show abstract

Exponential admissibility and H∞ control for nonlinear singular discrete systems with mixed time-varying delays

2025

Communications in Nonlinear Science and Numerical Simulation

View full text Add to dashboard Cite

Exponential stabilisation of positive singular linear discrete‐time delay systems with bounded control

Cited by 15 publications

References 27 publications

Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model

Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model

Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

Exponential admissibility and H∞ control for nonlinear singular discrete systems with mixed time-varying delays

Contact Info

Product

Resources

About