A Method for Estimating the Stability Region of Singular Perturbation Systems with Saturation Nonlinearities

Xin, Huanhai; Wu, Di; Gan, Deqiang; Jia-ju, Qiu

doi:10.3724/sp.j.1004.2008.01549

Cited by 11 publications

(5 citation statements)

References 7 publications

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“…A controller is firstly designed without the consideration of actuator saturation and then designed as an antiwindup compensator to weaken the effect of the saturation . Recently, some researchers have focused on SPSs subject to actuator saturation . However, there are a few results on SPSSs subject to actuator saturation .…”

Section: Introductionmentioning

confidence: 99%

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Wang

Zhou

et al. 2017

Intl J Robust & Nonlinear

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Summary This paper addresses the disturbance rejection problem for singularly perturbed switched systems subject to actuator saturation. We focus our attention on the synthesis of feedback control laws to achieve disturbance rejection for the systems. By using the average dwell‐time approach together with the piecewise Lyapunov function technique, sufficient conditions for the existence of a controller are derived in terms of LMIs, which are independent of the singular perturbation parameter ε. Some convex optimization problems are formulated to get a larger estimate of the basin of attraction and a better disturbance rejection ability. The state‐feedback controller depends on the singular perturbation parameter ε, but it is shown to be well posed for all ε∈(0,ε0]. In addition, if ε is sufficiently small, the ε‐dependent controller can be reduced to an ε‐independent one. Finally, a hydraulic servoposition system is used to show the feasibility and effectiveness of the obtained results.

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Section: Introductionmentioning

confidence: 99%

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Wang

Zhou

et al. 2017

Intl J Robust & Nonlinear

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“…Thus most available analysis and design methods based on reduced‐order subsystems require additional conditions when actuator saturation is involved [22–25]. In [22], the saturation non‐linearity is assumed to only rely on the slow state variables, while in [23, 24], the saturation non‐linearity is required to only depend on the fast state variables. In [25], the reduced‐order systems are constructed without taking saturation into account and a composite controller which can force the closed‐loop system to have a linear behaviour in a region is designed.…”

Section: Introductionmentioning

confidence: 99%

Anti‐windup controller design for singularly perturbed systems subject to actuator saturation

Yang

Zhang

Sun

2016

IET Control Theory & Applications

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“…Besides basin of attraction, stability bound is also an important stability index for SPSs with actuator saturation. In [20][21][22][23][24], state feedback controller is designed and the basin of attraction is estimated. The obtained results guarantee the existence of the stability bound but can not present an estimate of the bound.…”

Section: Introductionmentioning

confidence: 99%

Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

Miao

et al. 2015

Mathematical Problems in Engineering

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We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation andL2disturbance. A sufficient condition for the existence of a state feedback controller is proposed. Under this controller, the boundedness of the trajectories in the presence ofL2disturbances is guaranteed for any singular perturbation parameter less than or equal to a predefined upper bound. To improve the capacity of disturbance tolerance and disturbance rejection, two convex optimization problems are formulated. Finally, a numerical example is presented to demonstrate the effectiveness of the main results of this paper.

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A Method for Estimating the Stability Region of Singular Perturbation Systems with Saturation Nonlinearities

Cited by 11 publications

References 7 publications

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Anti‐windup controller design for singularly perturbed systems subject to actuator saturation

Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

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