Saturated Control of Linear Systems

Benzaouia, Abdellah; Mesquine, Fouad; Benhayoun, Mohamed

doi:10.1007/978-3-319-65990-9

Cited by 20 publications

(13 citation statements)

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“…Input saturation problem in nonlinear dynamical systems has been recognized as a difficult work. In order to better handle saturated nonlinear models, there are two approaches in current works . The first approach is based on polytopic differential inclusion, which involves a local description of the saturated system via a polytopic representations .…”

Section: Introductionmentioning

confidence: 99%

“…In order to better handle saturated nonlinear models, there are two approaches in current works. [18][19][20][27][28][29][30][31][32][33][34][35][36][37] The first approach is based on polytopic differential inclusion, 38,39 which involves a local description of the saturated system via a polytopic representations. 27,29,30 The second approach is sector nonlinearity model approach, which can replace the saturation term by dead-zone nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

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Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints

Zhang

et al. 2019

Intl J Robust & Nonlinear

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Summary In this paper, exponential stabilization for nonlinear coupled dynamical systems by considering sampled‐data controller and impulsive controller with input constraints is investigated. Based on polytopic representation approach, some linear matrix inequalities are established to guarantee local exponential stabilization of nonlinear coupled dynamical systems. Moreover, by using polytopic differential inclusion, for the case of the partial input saturation involving in the impulsive controller, we also obtain several sufficient conditions ensuring local exponential stabilization. Finally, three examples are presented to show the effectiveness of theoretical analysis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints

Zhang

et al. 2019

Intl J Robust & Nonlinear

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“…Before describing related prior work in the UAV space, we first provide an overview of the saturation control area more generally. Research on controller design considering actuator saturation is an active area and has produced abundant results . For a linear system, it is well known that global stabilization can be achieved only if the linear open‐loop system is asymptotically null controllable with bounded controls (ANCBCs), ie, the eigenvalues of the open‐loop system matrix do not have positive real parts.…”

Section: Introductionmentioning

confidence: 99%

“…Research on controller design considering actuator saturation is an active area and has produced abundant results. 3 For a linear system, it is well known that global stabilization can be achieved only if the linear open-loop system is asymptotically null controllable with bounded controls (ANCBCs), 4 ie, the eigenvalues of the open-loop system matrix do not have positive real parts. For non-ANCBC linear systems, the research focus is on enlarging and estimating the domain of attraction of the resulting closed loop.…”

Section: Introductionmentioning

confidence: 99%

Nested saturation control of multiple vector integrators and its application to motion control of UAVs

Xie

Veitch

2019

Intl J Robust & Nonlinear

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Summary This paper presents two nested input saturation control schemes for a special class of multiple vector integrators with bounded additive disturbances. The considered systems originate from the motion control of rotary‐wing unmanned aerial vehicles (UAVs). The first scheme is based on a feedforward form, which requires state transformation and can be applied to stabilize arbitrary order vector integrator systems. The second scheme is constructed with original state variables using a new approach, applied here to double vector integrator systems. The capability of handling external disturbance using the two schemes is also analyzed. The two schemes are applied to design motion controllers for rotary‐wing UAVs and simulation results are provided to show the performances of two controllers.

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“…A 2-dimensional fuzzy logic control is then trained to switch between the subregions to cover the whole region [20]. On the other hand, there are many saturated control techniques available in the control literature, for example, [21,22] and the references therein. One of these approaches is the positive invariance which is based on avoiding the control constraint, that is, to prevent saturation in the closedloop [22].…”

Section: Introductionmentioning

confidence: 99%

Decentralized Robust Saturated Control of Power Systems Using Reachable Sets

et al. 2018

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Electric power grids are highly nonlinear complex systems. This manuscript presents a novel approach to the stabilization of large power systems. The proposed control satisfied three constraints: decentralization, input saturation imposed in practice, and robustness against load changes. The large power system is decomposed into subsystems, for each a decentralized controller is designed. The effect of the rest of the system on each subsystem is considered as an external disturbance and represented in norm-bounded form. A new approach to solve this problem is proposed in the present paper. The approach is based on the method of invariant ellipsoids, and the tool of linear matrix inequalities (LMI) is utilized to solve the resulting optimization problem. Control of multimachine power system is studied using the proposed control. Comparison with other techniques is also given.

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Saturated Control of Linear Systems

Cited by 20 publications

References 0 publications

Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints

Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints

Nested saturation control of multiple vector integrators and its application to motion control of UAVs

Decentralized Robust Saturated Control of Power Systems Using Reachable Sets

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