Nizhny Novgorod State University of Architecture and Civil Engineering

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Balandin D.V.,Novgorod State University | Kogan M.M.,Nizhny Novgorod State University of Architecture and Civil Engineering
International Journal of Control | Year: 2010

In this article, the worst-case norm of the regulated output over all exogenous signals and initial states as a performance measure of the system is characterised in terms of linear matrix inequalities (LMIs). Optimal time-invariant state- and output-feedback controllers are synthesised as minimising this performance measure. The essential role in this synthesis plays a weighting matrix reflecting the relative importance of the uncertainty in the initial state contrary to the uncertainty in the exogenous signal. H ∞-optimal control with transients is shown to be actually a trade-off between H∞-control, being optimal under unknown exogenous disturbances and zero initial state, and γ-control, being optimal under zero exogenous signal and unknown initial conditions, if and only if the weighting matrix satisfies a fundamental inequality. If this inequality is met, the performance measure is achieved and the explicit formulae for the worst-case disturbance and initial state are provided. If this inequality fails, the performance measure coincides with the H∞-norm and the trade-off gets broken. © 2010 Taylor & Francis.


Pankratov E.L.,Nizhny Novgorod State University of Architecture and Civil Engineering
Nano | Year: 2011

Dopant redistribution in a multilayer structure during annealing by laser pulses for production of implanted-junction rectifiers has been analyzed. The analysis shows that heating the surface region of the multilayer structure leads to increasing of previously described effect of simultaneously increasing of sharpness of implanted-junction rectifier and homogeneity of dopant distribution in doped area. It was found that the theoretical spatial distribution of dopant agrees with the experimental one. Annealing time has been optimized for laser pulse annealing. © 2011 World Scientific Publishing Company.


Kogan M.M.,Nizhny Novgorod State University of Architecture and Civil Engineering
International Journal of Control | Year: 2014

In this paper, we consider a minimax approach to the estimation and filtering problems in the stochastic framework, where covariances of the random factors are completely unknown. The term random factors refers either to unknown parameters and measurement noise in the estimation problem or to disturbance process and the initial state of a linear discrete-time dynamic system in the filtering problem. We introduce a notion of the attenuation level of random factors as a performance measure for both a linear unbiased estimate and a filter. This is the worst-case variance of the estimation error normalised by the sum of variances of all random factors over all nonzero covariance matrices. It is shown that this performance measure is equal to the spectral norm of the transfer matrix and therefore the minimax estimate and filter can be computed in terms of linear matrix inequalities (LMIs). Moreover, the explicit formulae for both the minimax estimate and the minimal value of the attenuation level are presented in the estimation problem. It turns out that the above attenuation level of random factors coincides with the attenuation level of deterministic factors that is the worst-case normalised squared Euclidian norm of the estimation error over all nonzero sample values of random factors. In addition, we demonstrate that the LMI technique can be applied to derive the optimal robust estimator and filter, when there is a priori information about convex polyhedral sets which unknown covariance matrices of random factors belong to. Two illustrative examples show advantages of the minimax approach proposed. © 2014 © 2014 Taylor & Francis.


Pankratov E.L.,Nizhny Novgorod State University of Architecture and Civil Engineering
Journal of Computational and Theoretical Nanoscience | Year: 2012

It has recently been shown, that manufacturing of diffusive-junction rectifiers and implanted-junction rectifiers in a semiconductor heterostructure after appropriate choosing of parameters of the structure ture and optimization of annealing time leads to increase of the sharpness of p-n-junction and at one time to increase the homogeneity of dopant distribution in doped area. Formation of inhomogeneity of temperature in the heterostructure by laser or microwave annealing gives us possibility to increase the both effects at one time. It has recently been shown by experiments, that predoping radiation processing of materials leads to changing of dopant diffusion in comparison with nonprocessed one. In this paper we consider the possibility to use serial radiation processing of materials of heterostructure before doping and microwave annealing of radiation defects after doping to increase the sharpness p-n-junctions and at one time to increase the homogeneity of dopant distribution in doped area in the heterostructure. © 2012 American Scientific Publishers. All rights reserved.


Pankratov E.L.,Nizhny Novgorod State University of Architecture and Civil Engineering
Journal of Computational and Theoretical Nanoscience | Year: 2012

In this paper we consider an approach to decrease dimensions of planar field-effect transistors in a semiconductor heterostructure. It has been formulated a recommendation to use inhomogeneity of heterostructure to increase the effect. Copyright © 2012 American Scientific Publishers. All rights reserved.


Pankratov E.L.,Nizhny Novgorod State University of Architecture and Civil Engineering
Journal of Computational and Theoretical Nanoscience | Year: 2010

It has been recently shown, that inhomogeneity of a multilayer structure leads to increasing of sharpness of diffusion-junction and implanted-junction rectifiers, which were formed in the multilayer structure. It has been also shown, that together with increasing of the sharpness homogeneity of impurity distribution in doped area increases. The both effect could be increased by formation an inhomogeneous distribution of temperature (for example, by laser annealing). Some conditions on correlation between inhomogeneities of the multilayer structure ant temperature distribution has been considered. Annealing time has been optimized for laser pulse annealing. Copyright © 2010 American Scientific Publishers. All rights reserved.


Biryukov R.S.,Nizhny Novgorod State University of Architecture and Civil Engineering
Automation and Remote Control | Year: 2016

For the linear continuous nonstationary plants whose states are measured at fixed time instants, the notion of perturbation damping level was introduced as an index of joint impact of the initial and external perturbations on the worst-case objective output and terminal state. The H∞-optimal laws of control were formulated as the state feedbacks minimizing the level of feedback damping of the closed-loop system. © 2016, Pleiades Publishing, Ltd.


Kogan M.M.,Nizhny Novgorod State University of Architecture and Civil Engineering
Automation and Remote Control | Year: 2016

For a double-input single-output system, this paper defines a disturbance attenuation level (called H∞/γ0 norm) as the maximum-value L2 norm of the output under an unknown disturbance with a bounded L2 norm supplied to the first input and an impulsive disturbance in the form of the product of an unknown vector and the delta function supplied the second input, where the squared L2 norm of the former disturbance plus the quadratic form of the impulsive disturbance vector does not exceed 1. Weight matrix choice in the H∞/γ0 norm yields a trade-off between the attenuation level of the L2 disturbance and the attenuation level of the impulsive disturbance in corresponding channels. For the uncertain systems with dynamic or parametric uncertainty in the feedback loop, a robust H∞/γ0 norm is introduced that includes the robust H∞ and γ0 norms as special cases. All these characteristics or their upper bounds in the uncertain system are expressed via solutions of linear matrix inequalities. This gives a uniform approach for designing optimal and robust control laws with the H∞/γ0, H∞ and γ0 performance criteria. © 2016, Pleiades Publishing, Ltd.


Pankratov E.L.,Nizhny Novgorod State University of Architecture and Civil Engineering | Bulaeva E.A.,Nizhny Novgorod State University of Architecture and Civil Engineering
Journal of Computational and Theoretical Nanoscience | Year: 2013

In this paper we consider an possibility to decrease dimensions of vertical field-effect transistors. Framework the considered approach it is occurs decreasing of depth of the transistors and increasing their density in integrated circuits. Copyright © 2013 American Scientific Publishers All rights reserved.


Pankratov E.L.,Nizhny Novgorod State University of Architecture and Civil Engineering
Journal of Computational and Theoretical Nanoscience | Year: 2011

Recently it has been elaborated an approach to decrease depth of diffusive- and implanted-junction rectifiers by manufacturing the rectifiers in a semiconductor heterostructure and optimization of annealing of dopant and radiation defects. At the same time with decreasing of depth of p-n-junction homogeneity of dopant distribution in doped area increases. In this paper we analyzed possibility to increase the both effects at one time by radiation processing of materials of the heterostructure. Copyright © 2011 American Scientific Publishers.

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