Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation

Hussain, Muntazir; Rehan, Muhammad; Ahn, Choon Ki; Zheng, Zewei

doi:10.1007/s11071-018-4666-3

Cited by 24 publications

(26 citation statements)

References 50 publications

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“…Theorem 1. Consider the continuous time LPV system (4), the control law (7) and the regions E and U defined in (8) and 11, respectively, with given matrices R 0 and Q 0, and a desired α ∈ R + . If x(0) ∈ E, there exist a symmetric matrix P 0 and matrices Γ i such that the following set of LMIs is feasible P 0,…”

Section: Design With Constant Input Saturationmentioning

confidence: 99%

“…Consider the continuous time LPV system (4), the control law (26) and the regions E and U (φ) of the state space described by (8) and (27), respectively, with given matrices R 0 and Q(φ) 0, and a desired parameter-varying decay rate α(φ) ∈ R + that varies within the interval [α, α]. Assume that parameter-dependent matrix Q(φ) −1 and the function α(φ) can be expressed in polytopic form as follows…”

Section: Theoremmentioning

confidence: 99%

“…, M of Θ and Φ, respectively. Thereupon, let us consider the regions (8) and (18) and the inclusion E ⊆ V described by (19) to obtain (32).…”

Section: Theoremmentioning

confidence: 99%

“…For this reason, this issue has been investigated by several control theorists, with recent results such as those reported in References [1][2][3][4][5][6][7]. Existing solutions may be divided into two categories-anti-windup compensation [8], where a compensator is added to an already designed controller in order to handle the saturation constraints and direct control design [9], in which the input constraints are considered at the controller design stage.…”

Section: Introductionmentioning

confidence: 99%

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Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation

Ruiz¹,

Rotondo

Morcego³

2019

Applied Sciences

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All real-world systems are affected by the saturation phenomenon due to inherent physical limitations of actuators. These limitations should be taken into account in the controller’s design to prevent a possibly severe deterioration of the system’s performance, and may even lead to instability of the closed-loop system. Contrarily to most of the control strategies, which assume that the saturation limits are constant in time, this paper considers the problem of designing a state-feedback controller for a system affected by time-varying saturation limits with the objective to improve the performance. In order to tie variations of the saturation function to changes in the performance of the closed-loop system, the shifting paradigm is used, that is, some parameters scheduled by the time-varying saturations are introduced to schedule the performance criterion, which is considered to be the instantaneous guaranteed decay rate. The design conditions are obtained within the framework of linear parameter varying (LPV) systems using quadratic Lyapunov functions with constant Lyapunov matrices and they consist in a linear matrix inequality (LMI)-based feasibility problem, which can be solved efficiently using available solvers. Simulation results obtained using an illustrative example demonstrate the validity and the main characteristics of the proposed approach.

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Section: Design With Constant Input Saturationmentioning

confidence: 99%

Section: Theoremmentioning

confidence: 99%

“…, M of Θ and Φ, respectively. Thereupon, let us consider the regions (8) and (18) and the inclusion E ⊆ V described by (19) to obtain (32).…”

Section: Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation

Ruiz¹,

Rotondo

Morcego³

2019

Applied Sciences

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“…The mathematical correlation function is used to deal with saturation [21]. A static or dynamic AW compensator is designed to weaken the saturation effect [22,23]. The saturation constraint is transformed into the optimization problem with linear matrix inequality constraint [24].…”

Section: Introductionmentioning

confidence: 99%

Total-Amount Coordinated Finite-Time Control of Multi-Motors With Saturation Constraints

Zhang

Qian

et al. 2020

IEEE Access

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For the multi-motor traction finite-time control (FTC) system with input saturation constraints, considering parameter simplification of "adding a power integrator" (AAPI) and anti-windup (AW), a total-amount coordinated tracking control (TACTC) strategy based on nonsingular terminal sliding mode (NTSM) is proposed to ensure the global finite-time stability and effectively reduce energy consumption. First, a traction model of multiple permanent magnet synchronous motors (PMSMs) with uncertain parameter perturbations and external disturbances was established. Next, a finite-time auxiliary AW system was designed and the auxiliary state was fed back to TACTC. Then, the strong constraint of parameters of AAPI was relaxed, the setting rules of the corresponding parameters were given and the proof of finite-time Lyapunov stability was completed. Finally, the excellent performance of parameter simplification of AAPI and the controller was verified by the Matlab/Simuink simulation and RT-Lab semiphysical experiment of the multi-motor traction system, which shows that the control strategy can suppress the input saturation effect in the multi-motor traction system effectively.

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A note on a performance recovery method for a class of nonaffine‐in‐control nonlinear systems with input saturation

Hao

Pei

Cen

2022

Intl J Robust & Nonlinear

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This article proposes a feasible method for a class of nonaffine‐in‐control nonlinear systems in the presence of input saturation to obtain performance recovery. In the previous work, the plant is required to be affine‐in‐control to derive the difference between the desired and saturated inputs. Considering the nonaffine structure, we first build a fast subsystem with respect to the nominal system, where no saturation is presented. Then, an intermediate subsystem is established to compensate the influence of input saturation by approximating the difference between the original and nominal systems. In the slow time‐scale, a series of existing control methods can be combined to achieve the requested transient performance. The ability of performance recovery is proved rigorously by the singular perturbation theory. Numerical examples are illustrated to demonstrate the validity of the presented method.

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Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation

Cited by 24 publications

References 50 publications

Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation

Design of State-Feedback Controllers for Linear Parameter Varying Systems Subject to Time-Varying Input Saturation

Total-Amount Coordinated Finite-Time Control of Multi-Motors With Saturation Constraints

A note on a performance recovery method for a class of nonaffine‐in‐control nonlinear systems with input saturation

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