Robust sliding mode control for uncertain discrete singular systems with time-varying delays

Han, Yueqiao; Kao, Yonggui; Gao, Cunchen; Jiang, Baoping

doi:10.1080/00207721.2016.1216200

Cited by 16 publications

(24 citation statements)

References 27 publications

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“…It can be seen that the convergence rate of the states to the origin in the proposed approach is considerably faster than the method proposed in Reference . The method in Reference yields an overshoot of 20 % , whereas the proposed approach has no overshoot. In addition, some remarkable oscillations can be noticed at about 65 seconds, when using method, whereas the proposed approach converges to the origin very quickly and without oscillations.…”

Section: Simulation Resultsmentioning

confidence: 84%

“…The effectiveness of the proposed approach is assessed in this section using a numerical example. Comparison analysis with the controller proposed in Reference is also carried out.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…It is noted that since the method proposed in Reference does not take into account multiple time delays, the matrix A d associated with the delayed state vector is considered as A d =0.5( A d 1 + A d 2 ) to implement this method. It can be seen that the convergence rate of the states to the origin in the proposed approach is considerably faster than the method proposed in Reference . The method in Reference yields an overshoot of 20 % , whereas the proposed approach has no overshoot.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Descriptor systems also commonly called singular, generalized state‐space or differential‐algebraic equation systems, are widely used to describe a variety of practical systems . For instance, constrained robots, flexible‐link manipulators, aerospace applications, biological systems, mechanical systems, electrical circuits, and power systems can be modeled mathematically by descriptor systems.…”

Section: Introductionmentioning

confidence: 99%

“…The singularity and time delays have not been studied in Reference . The problem of robust SMC for uncertain discrete‐time descriptor systems with time‐varying delays was discussed in Reference . Reference has also studied the robust SMC for uncertain discrete‐time descriptor systems with time‐varying delays and external disturbances.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Robust global controller design for discrete‐time descriptor systems with multiple time‐varying delays

Mobayen

Bayat

Omidvar

et al. 2020

Intl J Robust & Nonlinear

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Descriptor systems are ubiquitous in many complex practical systems including spacecraft, electrical networks, economic systems, robotic, vibrational, and structural systems. Time delays are ubiquitous in those complex systems. If not addressed properly at the control design stage, they will result in singularities such as oscillation, instability, degraded performance. This article proposes a novel linear matrix inequality (LMI)-based global sliding mode control (GSMC) approach for uncertain discrete-time descriptor systems with multiple time-varying delays. Strict LMI conditions are established based on free-weighting matrices and the Lyapunov-Krasovskii functional to guarantee admissible closed-loop dynamics, that is, regular, causal, and stable. The sufficient condition for the asymptotic stability of the sliding mode dynamics is obtained based on the Lyapunov stability theorem and LMI constraint. The GSMC approach is then formulated based on a global sliding surface to ensure robust performance of the closed-loop system against parametric uncertainties and time delays, while eliminating the reaching phase. The global sliding surface ensures robust performance without the need for a reaching phase, thus establishing sliding around the surface right from the beginning and reducing the control effort. The effectiveness and validity of the proposed approach is assessed using a numerical example. K E Y W O R D Sdiscrete-time descriptor systems, global sliding mode control, LMI, multiple time-varying delay, parametric uncertainties

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Section: Simulation Resultsmentioning

confidence: 84%

“…The effectiveness of the proposed approach is assessed in this section using a numerical example. Comparison analysis with the controller proposed in Reference is also carried out.…”

Section: Simulation Resultsmentioning

confidence: 99%

Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust global controller design for discrete‐time descriptor systems with multiple time‐varying delays

Mobayen

Bayat

Omidvar

et al. 2020

Intl J Robust & Nonlinear

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Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

Senthilkumar

Vinodkumar

2023

Math Methods in App Sciences

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The paper studies stability analysis for an uncertain singular time varying delay system (USTDS) under random impulsive control (RIC). It also proves the stability results for a singular impulsive time delay system in terms of neutral impulsive time delay system approach. Besides, we derive the new sufficient conditions for stability results like exponential stability (ES) and robust exponential stability (RES) of the proposed system via linear matrix inequality (LMI) by employing the Lyapunov–Krasovskii functional (LKF) approach. In addition, two numerical examples, along with graphical simulations, are provided to illustrate the validity and effectiveness of the proposed results.

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Direct Adaptive Fuzzy Control of Nonlinear Descriptor Systems

Shamloo

Kalat

Chisci

2019

Int. J. Fuzzy Syst.

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Robust sliding mode control for uncertain discrete singular systems with time-varying delays

Cited by 16 publications

References 27 publications

Robust global controller design for discrete‐time descriptor systems with multiple time‐varying delays

Robust global controller design for discrete‐time descriptor systems with multiple time‐varying delays

Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

Direct Adaptive Fuzzy Control of Nonlinear Descriptor Systems

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