Author
V.M. Morozov
Bio: V.M. Morozov is an academic researcher from Moscow State University. The author has contributed to research in topics: Controllability & Observability. The author has an hindex of 4, co-authored 28 publications receiving 66 citations.
Papers
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TL;DR: In this paper, the relative equilibrium of a satellite moving in a circular orbit equipped with magnetic orientation system is investigated. And the optimal stabilization algorithm based on the LQR method is constructed for obtained time-invariant system.
Abstract: The stabilization of the relative equilibrium of a satellite moving in a circular orbit, which is equipped with magnetic orientation system. It is shown that the linearized system of equations of motion belongs to a special class of linear time-varying systems, reducible to time-invariant ones. For obtained time-invariant system, controllability is analyzed, and the optimal stabilization algorithm based on the LQR method is constructed. The results of numerical simulation demonstrate the efficiency of the proposed approach.
19 citations
TL;DR: In this article, the possibility of reducing a linear non-autonomous system, containing a control and measurements, to a time-independent form using time-dependent linear transformations of the state, control and observation spaces is investigated.
14 citations
TL;DR: In this article, the authors proposed a rigorous approach based on the fact that the considered linearized system belongs to a certain class of time-varying systems, which can be reduced to time-invariant systems of larger order.
11 citations
TL;DR: Theoretical results on the stability and stabilization of nonholonomic systems are systematized in this article, where a set of theorems on stability and controllability is formulated.
Abstract: Theoretical results on the stability and stabilization of the steady-state motion of nonholonomic systems are systematized. A set of theorems on stability and controllability is formulated. Numerous applications of these theoretical results are pointed out.
10 citations
TL;DR: In this paper, the stabilization of the satellite relative equilibrium in a circular orbit in the presence of an electrodynamic satellite attitude control system that uses simultaneously the control moments of the magnetic and Lorentzian forces was considered.
Abstract: We consider the stabilization of the satellite relative equilibrium in a circular orbit in the presence of an electrodynamic satellite attitude control system that uses simultaneously the control moments of the magnetic and Lorentzian forces. It is shown that the linearized system of equations of motion belongs to a special type of linear nonstationary systems reduced to stationary. On the basis of the reduced stationary system, controllability was investigated and efficient optimal stabilization algorithms were constructed. A detailed simulation of the proposed algorithms for orbits of different inclinations confirming the effectiveness of the developed procedure was carried out.
8 citations
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2,618 citations
TL;DR: This book discusses Maximization, Minimization, and Motivation, which is concerned with the optimization of Symmetric Matrices, and its applications in Programming and Mathematical Economics.
Abstract: Foreword Preface to the Second Edition Preface 1. Maximization, Minimization, and Motivation 2. Vectors and Matrices 3. Diagonalization and Canonical Forms for Symmetric Matrices 4. Reduction of General Symmetric Matrices to Diagonal Form 5. Constrained Maxima 6. Functions of Matrices 7. Variational Description of Characteristic Roots 8. Inequalities 9. Dynamic Programming 10. Matrices and Differential Equations 11. Explicit Solutions and Canonical Forms 12. Symmetric Function, Kronecker Products and Circulants 13. Stability Theory 14. Markoff Matrices and Probability Theory 15. Stochastic Matrices 16. Positive Matrices, Perron's Theorem, and Mathematical Economics 17. Control Processes 18. Invariant Imbedding 19. Numerical Inversion of the Laplace Transform and Tychonov Regularization Appendix A. Linear Equations and Rank Appendix B. The Quadratic Form of Selberg Appendix C. A Method of Hermite Appendix D. Moments and Quadratic Forms Index.
65 citations
TL;DR: The parametric design approach to second-order linear time-varying systems by using dynamic compensator and multi-objective optimization and an example of spacecraft rendezvous problem is presented to verify that the parametric approach is effective.
27 citations
TL;DR: In this paper, the relative equilibrium of a satellite moving in a circular orbit equipped with magnetic orientation system is investigated. And the optimal stabilization algorithm based on the LQR method is constructed for obtained time-invariant system.
Abstract: The stabilization of the relative equilibrium of a satellite moving in a circular orbit, which is equipped with magnetic orientation system. It is shown that the linearized system of equations of motion belongs to a special class of linear time-varying systems, reducible to time-invariant ones. For obtained time-invariant system, controllability is analyzed, and the optimal stabilization algorithm based on the LQR method is constructed. The results of numerical simulation demonstrate the efficiency of the proposed approach.
19 citations
TL;DR: In this paper, the authors considered the problem of a spacecraft's descent with a small asymmetry in the rarefied martian atmosphere at low values of the angle of attack.
19 citations