Further results on delay-dependent robust stabilization for uncertain singular linear systems with multiple input delays

Wang, Xin; Zhang, Xian; Li, Fanbiao; Zhu, Huiwen

doi:10.1109/ccdc.2011.5968198

Cited by 2 publications

(2 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, it is noteworthy that singular systems not only describe actual physical systems better but also are also more widely utilized than ordinary ones. So in the past decades, descriptor systems have attracted much attention [7,17,19,[25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Delay-Dependent Finite-TimeH∞Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Zhu

Zhang

et al. 2015

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Delay-dependent finite-timeH∞controller design problems are investigated for a kind of nonlinear descriptor system via a T-S fuzzy model in this paper. The solvable conditions of finite-timeH∞controller are given to guarantee that the loop-closed system is impulse-free and finite-time bounded and holds theH∞performance to a prescribed disturbance attenuation levelγ. The method given is the ability to eliminate the impulsive behavior caused by descriptor systems in a finite-time interval, which confirms the existence and uniqueness of solutions in the interval. By constructing a nonsingular matrix, we overcome the difficulty that results in an infeasible linear matrix inequality (LMI). Using the FEASP solver and GEVP solver of the LMI toolbox, we perform simulations to validate the proposed methods for a nonlinear descriptor system via the T-S fuzzy model, which shows the application of the T-S fuzzy method in studying the finite-time control problem of a nonlinear system. Meanwhile the method was also applied to the biological economy system to eliminate impulsive behavior at the bifurcation value, stabilize the loop-closed system in a finite-time interval, and achieve aH∞performance level.

show abstract

Section: Introductionmentioning

confidence: 99%

Delay-Dependent Finite-TimeH∞Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Zhu

Zhang

et al. 2015

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…So there has been an increasing interest in the stability analysis and stabilization for time delay systems in the last decades [9][10][11][12][13][14][15][16]. Delay-dependent discussions which take into account the size of delays, are of less conservative, especially in the case of small time delays [13].…”

Section: Introductionmentioning

confidence: 99%

Finite-time H<inf>∞</inf> performance analysis for a kind of T-S fuzzy descriptor system with time-delay

Zhu

Aibin

et al. 2015

The 27th Chinese Control and Decision Conference (2015 CCDC)

View full text Add to dashboard Cite

The finite-time H performance analysis problems are investigated for T-S descriptor systems in this paper. The sufficient conditions are proposed such that the system is finite-time bounded and impulse free and satisfies a prescribed H norm bound. The obtained method is the ability to eliminate the impulsive behavior of descriptor systems so as to guarantee the existence and uniqueness of solutions. A positive matrix is constructed to overcome the difficulties which will result in an infeasible linear matrix inequality (LMI). By combining the FEASP solver with GEVP solver of the LMI toolbox, we perform simulations to validate the obtained methods for a nonlinear descriptor system via the T-S fuzzy model. It shows the application of the T-S fuzzy method in studying finite-time H performance analysis problems for a kind of nonlinear descriptor systems.

show abstract

Further results on delay-dependent robust stabilization for uncertain singular linear systems with multiple input delays

Cited by 2 publications

References 16 publications

Delay-Dependent Finite-TimeH∞Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Delay-Dependent Finite-TimeH∞Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Finite-time H<inf>∞</inf> performance analysis for a kind of T-S fuzzy descriptor system with time-delay

Contact Info

Product

Resources

About

Further results on delay-dependent robust stabilization for uncertain singular linear systems with multiple input delays

Cited by 2 publications

References 16 publications

Delay-Dependent Finite-TimeH∞Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Delay-Dependent Finite-TimeH∞Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Finite-time H<inf>&#x221E;</inf> performance analysis for a kind of T-S fuzzy descriptor system with time-delay

Contact Info

Product

Resources

About

Finite-time H<inf>∞</inf> performance analysis for a kind of T-S fuzzy descriptor system with time-delay