Switching robust control for ozone generators using the attractive ellipsoid method

Poznyak, Tatyana; Chairez, Isaac; Pérez, Carlos Herrera; Poznyak, Alexander S.

doi:10.1016/j.isatra.2014.08.011

Cited by 8 publications

(9 citation statements)

References 23 publications

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“…We consider here one academic and one practically oriented numerical examples. Let us note that the combined feedback control design (14) incorporates a selected matrixP as well as the (precomputed) trajectory y v (·) of the linearized system (5). This fact eliminates a main technical difficulties of the conventional AEM, namely, a hard high-dimensional LMI constrained minimization problem (see the work of Poznyak et al 13 ).…”

Section: Computational Aspects and Numerical Resultsmentioning

confidence: 99%

“…Let us recall the well-established formalization procedure in the form of a specific LMI-constrained minimization problem (see, eg, other works 24,25,30 ). In the case of a stationary dynamic system, one can use a specific optimization problem (see related works 5,13,14,35 ) for a minimal-size AE design and for the calculation of the corresponding gain matrix-function K(·) minimize tr(P −1 )…”

Section: Application Of the Aes Methods To The Linearized Systemmentioning

confidence: 99%

“…A further implementation difficulty of the celebrated AE algorithm is characterized by a necessary linear matrix inequalities (LMIs) constrained optimization step. A concrete construction procedure of an AE and the corresponding robust feedback controller design include an auxiliary optimization problem, namely, sophisticated LMIs (or BMIs) constrained minimization (see other works 11,12,14 ). This nonlinear high-dimensional constrained optimization problem constitutes a numerically sophisticated task and usually can not be effectively solved in the real time.…”

Section: Introductionmentioning

confidence: 99%

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Advances in attractive ellipsoid method for robust control design

Azhmyakov

Mera

Juárez

2018

Intl J Robust & Nonlinear

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Our contribution is devoted to a further theoretic development of the attractive ellipsoid method (AEM). We consider dynamic models given by nonlinear ordinary differential equations in the presence of bounded disturbances. The resulting robustness analysis of the closed-loop system incorporates the celebrated Clarke invariancy concept (an analytic extension of the celebrated Lyapunov methodology). We finally obtain a new general geometric characterization of the AEM-based approach to the robust systems design. Moreover, we also discuss the corresponding numerical aspects of the proposed theoretical extensions of the method. The theoretic results obtained in this contribution are finally illustrated by a practically oriented computational example. KEYWORDSattractive ellipsoid method, nonlinear systems, robust control 1418

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Section: Computational Aspects and Numerical Resultsmentioning

confidence: 99%

Section: Application Of the Aes Methods To The Linearized Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Advances in attractive ellipsoid method for robust control design

Azhmyakov

Mera

Juárez

2018

Intl J Robust & Nonlinear

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“…Continuous (usually not controlled) productions of the oxidant are produced in ozone generators. 6,7 These devices produce ozone by passing high voltage, alternating electric discharge (AC) through a gas stream enriched with oxygen or air, resulting in the breakdown of molecular to atomic oxygen. Some of these molecules react with stabilized oxygen molecules, yielding the formation of ozone.…”

Section: Introductionmentioning

confidence: 99%

“…A major issue that regulates the ozone production is the stability and amplitude of the AC signal applied on the generator tube. 6,8…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control of an ozone generator based on dual AC/DC/AC power converters

Alsmadi

Chairez²,

Utkin

2020

Proceedings of the Institution of Mechanical Engineers, Part I:

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The aim of this study was to design a first-order sliding mode controller for dual AC/DC/AC power converters to regulate the production of a corona discharge ozone generator. The design is presented in the two following parts: (a) The first part regulates a three-branch (phase) AC/DC converter to control the DC intermedium voltage that is required to produce the desired ozone concentration, while (b) the second part regulates a one-phase DC/AC power conversion circuit that regulates amplitude of the AC voltage that must be injected into the reaction chamber of the ozone generator. For the first section, the controller regulates the switching sequence yielding the control of the input currents, which defines the amplitude of the DC voltage. In the second, the switching control regulates the amplitude of the expected output AC signal, which depends on the obtained DC voltage from the AC/DC section. This structure represents a novel form to adjust the functioning of the AC/DC/AC power device, which has not been used before in the context of ozone production. Lyapunov’s second method was the main tool for confirming the existence of an asymptotical equilibrium state point for the trajectory tracking deviation for both sections of the power converter. The voltage amplitude was tested on a previously validated mathematical model of a corona-effect ozone generator performance. Several numerical evaluations illustrated the efficient performance of the suggested discontinuous controller and considering the proposed switching sequence that realizes the control action. The proposed controller was contrasted with a usual proportional/integral/derivative (extended state) design, which is a common technique to regulate the ozone generation system.

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Robust Disturbance Rejection by the Attractive Ellipsoid Method – Part II: Discrete-time Systems

García

Ampountolas

2018

IFAC-PapersOnLine

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Switching robust control for ozone generators using the attractive ellipsoid method

Cited by 8 publications

References 23 publications

Advances in attractive ellipsoid method for robust control design

Advances in attractive ellipsoid method for robust control design

Sliding mode control of an ozone generator based on dual AC/DC/AC power converters

Robust Disturbance Rejection by the Attractive Ellipsoid Method – Part II: Discrete-time Systems

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