Comment on “Robust guaranteed cost control for a class of two-dimensional discrete systems with shift-delays”

Tiwari, Manish; Dhawan, Amit

doi:10.1007/s11045-011-0151-6

Cited by 9 publications

(7 citation statements)

References 1 publication

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“…In [61], some technical errors that have occurred in the main results of [60] are pointed out and corrected.…”

Section: )mentioning

confidence: 99%

A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model

Tiwari¹,

Dhawan²

2012

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A key issue of practical importance in the two-dimensional (2-D) discrete system is stability analysis. Linear state-space models describing 2-D discrete systems have been proposed by several researchers. A popular model, called Forna- sini-Marchesini (FM) second model was proposed by Fornasini and Marchesini in 1978. The aim of this paper is to present a survey of the existing literature on the stability of FM second model

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“…In [61], some technical errors that have occurred in the main results of [60] are pointed out and corrected.…”

Section: )mentioning

confidence: 99%

A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model

Tiwari¹,

Dhawan²

2012

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“…al. (2009) were corrected in Tiwari and Dhawan (2012b). A solution to the guaranteed cost control problem via memory state feedback control laws for a class of uncertain 2-D discrete state-delayed systems described by the FM second model has been presented in Tiwari and Dhawan (2012c) and it has been shown with the help of illustrative examples that the criterion given in Tiwari and Dhawan (2012c) provides less conservative results than the approach given in Ye et.…”

Section: Introductionmentioning

confidence: 99%

Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback

Tandon

Dhawan

Tiwari

2018

Transactions of the Institute of Measurement and Control

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This paper is concerned with the problem of optimal guaranteed cost control via memory state feedback for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based sufficient condition for the existence of memory state feedback guaranteed cost controllers is established and a parameterized representation of such controllers (if they exist) is given in terms of feasible solutions to a certain LMI. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controllers that minimize the upper bound of the closed-loop cost function. The proposed method yields better results in terms of least upper bound of the closed-loop cost function as compared with a previously reported result.

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“…In the real world, the process dynamics of many physical systems are affected by delays. As the presence of delays is frequently a source of instability and poor performance of many control systems, the study of 2-D discrete systems with delays has attracted many researchers and useful results have been reported in the literature (Paszke et al, 2004; Peng et al, 2007; Tiwari and Dhawan, 2012a, 2012b, 2013; Xu and Yu, 2009a, 2009b; Xu et al, 2007; Ye et al, 2009). In Xu et al (2007), a sufficient condition for the stability of 2-D discrete state-delayed systems in the general model (GM) has been derived via the Lyapunov approach.…”

Section: Introductionmentioning

confidence: 99%

An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays

Tandon

Dhawan

2016

Transactions of the Institute of Measurement and Control

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In this paper, we present a solution to the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional(2-D) discrete systems described by the general model (GM) subject to both state and input delays. The parameter uncertainties are assumed norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of non-fragile robust guaranteed cost controller is established. Furthermore, a convex optimization problem with LMI constraints is proposed to select a non-fragile robust optimal guaranteed cost controller stabilizing the uncertain 2-D discrete system with both state and input delays as well as achieving the least guaranteed cost for the resulting closed-loop system. The effectiveness of the proposed method is demonstrated with an illustrative example.

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Comment on “Robust guaranteed cost control for a class of two-dimensional discrete systems with shift-delays”

Cited by 9 publications

References 1 publication

A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model

A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model

Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback

An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays

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