Dynamic anti-windup compensation of nonlinear time-delay systems using LPV approach

Akram, Abubakar; Hussain, Muntazir; Saqib, Najam us; Rehan, Muhammad

doi:10.1007/s11071-017-3678-8

Cited by 16 publications

(16 citation statements)

References 32 publications

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“…Dynamic AWC is designed in [ 24 ] for a nonlinear system, having time-varying state delay, by using both decoupling AWC and IMC-based AWC architectures and by utilizing Lipschitz condition, Lyapunov functional and L 2 gain minimization. To attain the alleviation for windup effects in nonlinear systems with time-delays, the dynamic anti-windup methodology of [ 24 ] has been extended in [ 27 ] by using Lipschitz reformulation and LPV techniques. The main problem in the dynamic windup compensation technique is that it is not realizable in the circumstances where the state of a system is not available for AWC.…”

Section: Introductionmentioning

confidence: 99%

“…To the best of our knowledge, a static AWC design scheme for a generic class of the locally Lipschitz nonlinear time-delay systems is addressed for the first time. Most of the exiting works for dealing with nonlinear systems apply simple Lipschitz condition [ 24 , 27 , 28 , 31 , 32 ], while the proposed approach can be considered for a broader scope of AWC design.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to the conventional higher-order and complex AWC designs in [ 2 , 7 – 9 , 13 , 27 , 30 ], the present work considers a static AWC design which requires less computational efforts for its implementation. The static AWC can be implemented via a proportional gain matrix for attaining stability and performance of a control system under input saturation.…”

Section: Introductionmentioning

confidence: 99%

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Static anti-windup compensator design for locally Lipschitz systems under input and output delays

et al. 2023

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This paper proposes a static anti-windup compensator (AWC) design methodology for the locally Lipschitz nonlinear systems, containing time-varying interval delays in input and output of the system in the presence of actuator saturation. Static AWC design is proposed for the systems by considering a delay-range-dependent methodology to consider less conservative delay bounds. The approach has been developed by utilizing an improved Lyapunov-Krasovskii functional, locally Lipschitz nonlinearity property, delay-interval, delay derivative upper bound, local sector condition, L2 gain reduction from exogenous input to exogenous output, improved Wirtinger inequality, additive time-varying delays, and convex optimization algorithms to obtain convex conditions for AWC gain calculations. In contrast to the existing results, the present work considers both input and output delays for the AWC design (along with their combined additive effect) and deals with a more generic locally Lipschitz class of nonlinear systems. The effectiveness of the proposed methodology is demonstrated via simulations for a nonlinear DC servo motor system, possessing multiple time-delays, dynamic nonlinearity and actuator constraints.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Static anti-windup compensator design for locally Lipschitz systems under input and output delays

et al. 2023

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“…Therefore, it is imperative to design a robust antiwindup contrller to improve the tracking performance of the IED system under input saturation condition and ensure the control system stability under attack-delays. Theoretical methods considering input saturation and short time-delays have been investigated to reduce system conservatism [1,2,4,8,15,17,30,32,35,45]. Muntazir et al proposed a compensation control method for the state delay and input saturation nonlinear system, and proposed the conditions to ensure the local and global stability of the closedloop system [15].…”

Section: Introductionmentioning

confidence: 99%

Longitudinal speed tracking control for an electric connected vehicle with actuator saturation subject to a replay attack

Chen

Xu²,

Chen³

et al. 2022

Nonlinear Dyn

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In this paper, a delay-tolerable and anti-windup control synthesis technique is proposed. Longitudinal speed tracking performed by an integrated electric drive (IED) system under the multi-domain constraints of network bandwidth and actuator saturation is investigated. An in-vehicle controller area network (CAN) connect to the Internet providing an interface for cyber attacks which exacerbate network congestion. In addition, the physical saturation characteristics of the electric drive motor sacrifice vehicle speed tracking performance. Based on above problems, a nominal controller satisfying energy-to-peak performance considering the attack-induced delays is designed. Then, an augmented closed-loop system is established including the nom-

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“…A local decoupling antiwindup compensation design was suggested using the delay-range-dependent approach, for compensation of the undesirable saturation effects. In [17], by employing the concept of decoupled architecturebased design, a dynamic anti-windup compensation applicable to both stable or unstable nonlinear timedelayed systems was proposed, by reformulating the Lipschitz nonlinearities of the considered class of system via linear parameter-varying models. In [18], a novel approach was proposed for designing a static anti-windup compensation for two classes of delayed nonlinear systems under input actuator saturation.…”

Section: Introductionmentioning

confidence: 99%

Combining Augmented Error Modeling Technique and Block-Pulse Functions Method for Tracking Control Design of Nonlinear Polynomial Systems with Multiple Time-Delayed States Subject to Nonsymmetric Input Saturation

Warrad

2022

Mathematical Problems in Engineering

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The present research work is intended to synthesize a novel tracking control strategy for a class of nonlinear polynomial systems characterized by multiple well-defined delays in state variables under the presence of nonsymmetric input saturation. The design strategy makes full use of an associate’s memory nonlinear state feedback control with integral-based actions. An original control scheme joining block-pulse functions method combined with the augmented error modeling technique is used to infer the controller’s tracking gains. The objective is to convert the investigated nonlinear algebraic problem governed by specifying constraints into a constrained linear one that can be solved in the constrained least square methodology. Detailed novel sufficient conditions proving the closed-loop augmented system’s practical stability are elaborated. The instance of a twofold inverted pendulums benchmark is considered so as to exhibit the benefits of the proposed control approach.

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Dynamic anti-windup compensation of nonlinear time-delay systems using LPV approach

Cited by 16 publications

References 32 publications

Static anti-windup compensator design for locally Lipschitz systems under input and output delays

Static anti-windup compensator design for locally Lipschitz systems under input and output delays

Longitudinal speed tracking control for an electric connected vehicle with actuator saturation subject to a replay attack

Combining Augmented Error Modeling Technique and Block-Pulse Functions Method for Tracking Control Design of Nonlinear Polynomial Systems with Multiple Time-Delayed States Subject to Nonsymmetric Input Saturation

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