Sliding Mode Controller Design for Stochastic Polynomial Systems With Unmeasured States

Basin, Michael; Rodriguez‐Ramirez, Pablo

doi:10.1109/tie.2013.2240641

Cited by 96 publications

(47 citation statements)

References 51 publications

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“…The actuator failures have been quantified by a variable varying in a given interval and the sensor failures have been governed by an individual random variable satisfying a certain probabilistic distribution in the interval [0,1]. Both the RONs and the ROUs have been modeled by the Bernoulli distributed white sequences with known conditional probabilities.…”

Section: Resultsmentioning

confidence: 99%

“…So far, considerable research attention has been devoted to the theoretical research on control problems for nonlinear stochastic systems, see [1,3,5,6,9,11,20,22,24,30] and the references therein. For example, for different kinds of nonlinear stochastic systems, the H ∞ output feedback control problem has been investigated in [24], the adaptive fuzzy control problem has been proposed in [22], the neural-network-based controller design has been addressed in [23], the adaptive sliding mode controller has been designed in [4,10,17,18] and the observer-based control problems have been solved in [25], respectively.…”

Section: Introductionmentioning

confidence: 99%

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Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization

et al. 2015

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This paper deals with the finite-horizon reliable H∞ output feedback control problem for a class of discrete time-varying systems with randomly occurring uncertainties (ROUs), randomly occurring nonlinearities (RONs) as well as measurement quantizations. Both the deterministic actuator failures and probabilistic sensor failures are considered in order to reflect the reality. The actuator failure is quantified by a deterministic variable varying in a given interval and the sensor failure is governed by an individual random variable taking value on 0, 1 . Both the nonlinearities and the uncertainties enter into the system in random ways according to Bernoulli distributed white sequences with known conditional probabilities. The main purpose of the problem addressed is to design a time-varying output feedback controller over a given finite horizon such that, in the simultaneous presence of ROUs, RONs, actuator and sensor failures as well as measurement quantizations, the closedloop system achieves a prescribed performance level in terms of the H∞-norm. Sufficient conditions are first established for the robust H∞ performance through intensive stochastic analysis, and then a recursive linear matrix inequality approach is employed to design the desired output feedback controller achieving the prescribed H∞ disturbance rejection level. A numerical example is given to demonstrate the effectiveness of the proposed design scheme.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization

et al. 2015

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“…A large body of literature has been devoted to the stochastic control or filtering problem for different systems such as polynomial stochastic systems [1,2,4], Markovian jumping systems [20], switched stochastic systems [13], discrete-time stochastic systems with state-dependent noises [17], nonlinear stochastic systems [8,19] and stochastic sampled-data control system [21]. Among various stochastic control schemes, the covariance control (CC) theory has gained particular research attention due primarily to the fact that the performance requirements of many engineering control systems are naturally expressed as the upper bounds on the steady-state variances [11].…”

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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“…The filter is stabilized by means of an algebraic variable-structure controller (AVSC) based on sliding mode techniques. As known, such kinds of control techniques are very often used in industrial contexts [30]- [33] because of their robustness and because of the compactness of the code that is required for their implementation.…”

Section: Introductionmentioning

confidence: 99%

A Discrete-Time Filter for the Generation of Signals With Asymmetric and Variable Bounds on Velocity, Acceleration, and Jerk

Bianco

Ghilardelli

2014

IEEE Trans. Ind. Electron.

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Reference signals, which are used to drive feedback control loops, are often evaluated on the fly on the basis of the operating conditions. As a consequence, they can be too demanding for the actuation system whose outputs could saturate, thus worsening the tracking performances of the feedback loop. Improved answers can be obtained by smoothing rough references by means of proper filters that are also able to impose bounds on the signal dynamics. This paper proposes a filtering system whose output mimics at best any given input signal compatibly with some smoothness requirements. In particular, generated signals are continuous up to the second time derivative, and their first three time derivatives are constrained between assigned bounds that can be asymmetric and that can also be changed on the fly. The filter, which is internally characterized by minimum time transients, is able to follow, with zero tracking error, piecewise-continuous signals given by combinations of steps, ramps, and parabolas.

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Sliding Mode Controller Design for Stochastic Polynomial Systems With Unmeasured States

Cited by 96 publications

References 51 publications

Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization

Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization

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

A Discrete-Time Filter for the Generation of Signals With Asymmetric and Variable Bounds on Velocity, Acceleration, and Jerk

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