Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays

Selvaraj, Palanisamy; Sakthivel, R.; Anthoni, S. Marshal; Rathika, M.; Yong-Cheol, Mo

doi:10.1002/cplx.21674

Cited by 18 publications

(9 citation statements)

References 37 publications

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“…Consequently, much consideration has been given to the stabilization and tracking control of these systems . Several control methods such as output‐feedback control, fuzzy control, L 2 − L ∞ ‐based control, H ∞ ‐based control, Lyapunov‐based approach, and sliding mode control (SMC) have been considered in designing suitable stabilizers and trackers for descriptor/singular systems with time delays.…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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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“…Since modeling errors cannot be avoided in the practical systems, the uncertainties and disturbance usually exist in the system model. ere are many results focused on the robust control for the system with the uncertainty and disturbance ( [10][11][12]). In particular, the robust RHC is a hot topic in recent years (see, e.g., [13][14][15][16]).…”

Section: Introductionmentioning

confidence: 99%

“…A lot of significant results for the state feedback RHC with uncertainty have appeared in the literature ( [17][18][19][20]). Besides, time delays usually exist in dynamic systems ( [10,21]). e presence of time delays often leads to oscillation and instability of the closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

Robust Receding Horizon Control with Free Control Moves for Polytopic Parametric Uncertainty Systems Subject to Multiple Input Delays

Yang

Cai

Ding

2020

Mathematical Problems in Engineering

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A robust receding horizon control (RHC) with free control moves is applied to polytopic parametric uncertainty systems with multiple input delays and unstable system matrices. A difficulty in the previous robust RHC work is that the free control moves are unsuitable for the system with input time delay, which is overcome in this paper by the design based on the augmented state. As a result, the synthesis of local control based on augmented feedback is given offline to alleviate the online computation burden. The free control moves before the augmented feedback are the online decision variables, which are solved by minimizing a sequence of nonnegative scalars online. The recursive feasibility is guaranteed by adopting the augmented state space equation. By adjusting the robust positively invariant set, the stability of the closed-loop system is guaranteed. Simulation results demonstrate that the proposed algorithm improves the control performance effectively.

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“…It renders the control more reliable and handy in real world problems. In [29], one studied dissipative sampled-data control of uncertain nonlinear systems with timevarying delays, and so on [30][31][32][33][34]. Meanwhile, pinning control has been introduced to deal with the problem of large number of controllers added to large size of neural network structure [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Mixed $H_{\infty }/$passive exponential function projective synchronization of delayed neural networks with hybrid coupling based on pinning sampled-data control

et al. 2019

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This paper presents the problem of mixed H ∞ /passive exponential function projective synchronization of delayed neural networks with constant discrete and distributed delay couplings under pinning sampled-data control scheme. The aim of this work is to focus on designing of pinning sampled-data controller with an explicit expression by which the stable synchronization error system is achieved and a mixed H ∞ /passive performance level is also reached. Particularly, the control method is designed to determine a set of pinned nodes with fixed coupling matrices and strength values, and to select randomly pinning nodes. To handle the Lyapunov functional, we apply some new techniques and then derive some sufficient conditions for the desired controller existence. Furthermore, numerical examples are given to illustrate the effectiveness of the proposed theoretical results.

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Dissipative sampled‐data control of uncertain nonlinear systems with time‐varying delays

Cited by 18 publications

References 37 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

Robust Receding Horizon Control with Free Control Moves for Polytopic Parametric Uncertainty Systems Subject to Multiple Input Delays

Mixed $H_{\infty }/$passive exponential function projective synchronization of delayed neural networks with hybrid coupling based on pinning sampled-data control

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