Non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems

Tandon, Akshata; Dhawan, Amit

doi:10.1080/00207721.2015.1122846

Cited by 13 publications

(10 citation statements)

References 25 publications

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“…It is assumed that the system (1a) has a finite set of initial conditions (Tandon and Dhawan, 2016; Xu et al, 2007), i.e. there exist two positive integers L 1 and L 2 such that…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…Recently, research on non-fragile control problem has attracted attention (Dhawan, 2012; Sharma and Dhawan, 2012; Tandon and Dhawan, 2014, 2016; Ye et al, 2011). The objective of non-fragile control is to design a controller for a given system such that the controller is insensitive to some amount of error with respect to its gain, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…A solution to the non-fragile robust optimal guaranteed cost control problem for a class of 2-D discrete systems described by the GM has been presented in Tandon and Dhawan (2014) and it has been shown that their approach provides less stringent results than that given in Ye et al (2011). Very recently, the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain 2-D discrete state-delayed systems described by the GM has been studied in Tandon and Dhawan (2016) and it has also been shown that the proposed method leads to a tighter upper bound of the closed-loop cost function compared with that obtained in Tandon and Dhawan (2014). It may be mentioned here that all the results reported so far in the literature for the non-fragile robust guaranteed cost control problem for uncertain 2-D discrete systems consider only state delays, whereas in many real situations, input delays are often encountered because of transmission of the measurement information.…”

Section: Introductionmentioning

confidence: 99%

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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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“…It is assumed that the system (1a) has a finite set of initial conditions (Tandon and Dhawan, 2016; Xu et al, 2007), i.e. there exist two positive integers L 1 and L 2 such that…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Self Cite

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“…Its main idea is to guarantee robust stability and make the worsening performance indicators resulting from system uncertainty still lower than some certain upper bound. In order to meet demands in actual production and obtain better high-precision control of system, studies have been extended to 2D systems and extensively applied in all areas [31], [39], [47]- [52]. Wang et al [31] presented the optimal designed algorithm of 2D hybrid robust iterative learning fault-tolerant guaranteed control.…”

Section: Introductionmentioning

confidence: 99%

Design of Optimal Hybrid Controller for Multi-Phase Batch Processes With Interval Time Varying Delay

Zhang

Wang

2019

IEEE Access

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Concerning two dimensional (2D) multi-phase batch processes, a delay-range-dependent optimal hybrid iterative learning control (2D-OILC) scheme is presented. Firstly, the process is converted into a 2D-FM time delay switched system in different dimensions by introduction of state errors and system output tracking errors among batches. According to this model, hybrid iterative learning control is combined with feedback control and a 2D optimal hybrid controller is designed. Secondly, the average dwell time method is adopted to give sufficient conditions for system robust stability in terms of linear matrix inequalities and the upper bound for system's optimal performance index is provided. Besides, the issue of optimal controller design is presented to draw the minimum upper limit of the closed-loop system performance index. The presented control law not only can make the closed-loop system preserving good tracking performance but also ensures its H ∞ performance. Last but not least, the validity of the above strategies is proved by the simulation on an injection molding process. INDEX TERMS Multi-phase batch processes, optimal hybrid iterative learning control, interval time varying delay, average dwell time.

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“…In [28], a synchronization problem for complex dynamical networks with additive time-varying coupling delays via nonfragile control was investigated. It has also been concerned with a problem of nonfragile robust optimal guaranteed cost control for a class of uncertain two-dimensional discrete state-delayed systems and the state feedback controllers are designed [29]. Robust nonfragile control of uncertain linear system and application to vehicle active suspension were described in [30].…”

Section: Complexitymentioning

confidence: 99%

A Novel SHLNN Based Robust Control and Tracking Method for Hypersonic Vehicle under Parameter Uncertainty

Li¹,

Wu²,

Yang³

et al. 2017

Complexity

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Hypersonic vehicle is a typical parameter uncertain system with significant characteristics of strong coupling, nonlinearity, and external disturbance. In this paper, a combined system modeling approach is proposed to approximate the actual vehicle system. The state feedback control strategy is adopted based on the robust guaranteed cost control (RGCC) theory, where the Lyapunov function is applied to get control law for nonlinear system and the problem is transformed into a feasible solution by linear matrix inequalities (LMI) method. In addition, a nonfragile guaranteed cost controller solved by LMI optimization approach is employed to the linear error system, where a single hidden layer neural network (SHLNN) is employed as an additive gain compensator to reduce excessive performance caused by perturbations and uncertainties. Simulation results show the stability and well tracking performance for the proposed strategy in controlling the vehicle system.

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Non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems

Cited by 13 publications

References 25 publications

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

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

Design of Optimal Hybrid Controller for Multi-Phase Batch Processes With Interval Time Varying Delay

A Novel SHLNN Based Robust Control and Tracking Method for Hypersonic Vehicle under Parameter Uncertainty

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