Delay-range-dependent control synthesis for time-delay systems with actuator saturation

Zhang, Lixian; Boukas, El‐Kébir; Haidar, Ahmad

doi:10.1016/j.automatica.2008.03.009

Cited by 151 publications

(102 citation statements)

References 14 publications

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“…Due to physical and safety constraints, the sensor saturation is probably one of the most commonly encountered phenomena in practical control systems that can severely degrade the system performance or even lead to unstable behaviors. So far, considerable research attention has been paid to the filtering and control problems for systems with sensor saturation, see [14,16] and the references therein, where the saturation has been implicitly assumed to occur definitely, i.e., the sensor always undergoes saturation. Such an assumption, however, is not always true.…”

Section: Introductionmentioning

confidence: 99%

Variance-constrainedH∞control for a class of nonlinear stochastic discrete time-varying systems: The event-triggered design

et al. 2016

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In this paper, a general event-triggered framework is set up to deal with the variance-constrained H∞ control problem for a class of discrete time-varying systems with randomly occurring saturations, stochastic nonlinearities and state-multiplicative noises. Based on the relative error with respect to the measurement signal, an event indicator variable is introduced and the corresponding event-triggered scheme is proposed in order to determine whether the measurement output is transmitted to the controller or not. The stochastic nonlinearities under consideration are characterized by statistical means which can cover several classes of well-studied nonlinearities. A set of unrelated random variables is exploited to govern the phenomena of randomly occurring saturations, stochastic nonlinearities and state-dependent noises. The purpose of the addressed multiobjective control problem is to design a set of time-varying output feedback controller such that, over a finite horizon, the closed-loop system achieves both the prescribed H∞ noise attenuation level and the state covariance constraints. A recursive matrix inequality approach is developed to derive the sufficient conditions for the existence of the desired finite-horizon controllers, and the analytical characterization of such controllers is also given. Simulation studies are conducted to demonstrate the effectiveness of the developed controller design scheme.

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Section: Introductionmentioning

confidence: 99%

Variance-constrainedH∞control for a class of nonlinear stochastic discrete time-varying systems: The event-triggered design

et al. 2016

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“…Because of discretization, the variation of one sample is already larger than the bounded considered in continuoustime case by [24] and thus, its conditions cannot be applied even for Δ = 1. The conditions found in [23] are applied only for time-invariant delay and those in [25] can handle the continuous-time version of the time-varying delay. Note that the conditions in [23][24][25] apply only to precisely known systems and yield a region of attraction described by a ball in R with radius .…”

Section: Examplementioning

confidence: 99%

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Silva

Scola

et al. 2018

Mathematical Problems in Engineering

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The robust local stabilization of uncertain discrete-time systems with time-varying state delayed and subject to saturating actuators is investigated in this work. A convex optimization method is proposed to compute robust state feedback control law such that the uncertain closed-loop is locally asymptotically stable if the initial condition belongs to an estimate of the region of attraction for the origin. The proposed procedure allows computing estimates of the region of attraction through the intersection of ellipsoidal sets in an augmented space, reducing the conservatism of the estimates found in the literature. Also, the conditions can handle the amount of delay variation between two consecutive samples, which is new in the literature for the discrete-time case. Although the given synthesis conditions are delay dependent, the proposed control law is delay independent, yielding to easier real time implementations. A convex procedure is proposed to maximize the size of the set of safe initial conditions. Numerical examples are provided to illustrate the effectiveness of our approach and also to compare it with other conditions in the literature.

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“…Firstly, compared with saturations described in [36,[39][40][41][42] where nondelay state should be available online, system state ( ) in output is not necessary and could be replaced by delay state ( − ). Secondly, compared with the saturated controllers designed for delayed systems without delay state [43,44], both nondelay and delay states are included in output, whose distribution probabilities are also considered. Because all the delay terms could affect delayed systems, the obtained results are more conservative without considering them.…”

Section: Problem Formulationmentioning

confidence: 99%

Observer Design for Delayed Markovian Jump Systems with Output State Saturation

Wang

Feng

2018

Mathematical Problems in Engineering

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This paper considers the observer design problem of continuous-time delayed Markovian jump systems with output state saturation. Different from the traditionally observer-based saturation control methods, a kind of system output state saturation with a partially delay-dependent property is proposed, where both nondelay and delay states exist at the same time but happen asynchronously. By exploiting the Bernoulli variable, the probability distributions of such two states are described and considered in the observer design. Based on an improved equality applied to deal with saturation terms, sufficient conditions for the designed observer with three kinds of output saturations are all provided with LMI forms. Finally, a numerical example is given to indicate the effectiveness of the obtained results.

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Delay-range-dependent control synthesis for time-delay systems with actuator saturation

Cited by 151 publications

References 14 publications

Variance-constrainedH∞control for a class of nonlinear stochastic discrete time-varying systems: The event-triggered design

Variance-constrainedH∞control for a class of nonlinear stochastic discrete time-varying systems: The event-triggered design

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Observer Design for Delayed Markovian Jump Systems with Output State Saturation

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