POLE LIMITATION AND OUTPUT FEEDBACK METHODS OF POLE PLACEMENT
Keywords:
multidimensional system, modal control, pole placement, synthesis, feedback, closed circuit.Abstract
In this paper, a method for setting constraints on closed-loop system poles in single-input systems is proposed using constant feedback from an output vector that is small compared to the state vector. These constraints are linear equations with respect to the coefficients of the characteristic feedback polynomial and are derived from the matrices describing the system in state-space form. The characteristics of the Burke contour poles are then expressed as linear equations in the characteristic polynomial coefficients, and these are solved with the constraint equation to obtain the output feedback vector required to locate the poles.
References
Bachelier O., Bosche J., Mehdi D. On Pole Placement via Eigen structure Assignment Approach // IEEE Trans. Automat. Control. 2006. V. 51. No.9. -P. 1554-1558.
Zubov N.E. Matrix methods in theory and practical systems of automatic control of aircraft / N.E. Zubov, E.A. Mikrin, V.N. Ryabchenko. – Moscow: Publishing house of MSTU im. N.E.Bauman, 2016. - 666 p.
Sevinov J. U., Boeva O. H. Adaptive pole placement algorithms for of non-minimum-phase stochastic systems //Chemical Technology, Control and Management. – 2020. – Т. 2020. – №. 5. – С. 38-43.
Igamberdiyev H. Z. et al. Sustainable algorithms for synthesis of local-optimal adaptive dynamic object management systems //Chemical Technology, Control and Management. – 2018. – Т. 2018. – №. 3. – С. 59-62.
Igamberdiev H. Z., Sevinov J. U. Algorithms for regular synthesis of adaptive systems management of technological objects based on the concepts of identification approach //Algorithms. – 2019. – Т. 12. – С. 28-2019.
Boeva O. H., Ibragimova C. Q. Modal synthesis of control algorithms for multidimensional systems with a given spectrum with incomplete information //Scholar. – 2023. – Т. 1. – №. 3. – С. 4-9.
Boeva O.H. Connection of pole arrangement with stability margin for multidimensional regulators with an observer Management // Journal of Advances in Engineering Technology, 2022.
Oqila Boeva Jasur Sevinov. Synthesis algorithms for adaptive-modal control systems for technological objects with delays. II International Scientific Conference on Advances in Science, Engineering and Digital Education (ASEDU-II-2021)*.
Makhmudov G. B., Saidova A. H., Mokhilova N. T. Modeling of fuzzy logic for controlling the process of bacterial oxidation of concentrates in stirrer reactors //Modern innovations, systems and technologies. – 2022. – Vol. 2. – No. 2. – p. 0201-0214.
Makhmudov G. B., Saidova A. H., Mokhilova N. T. Modern innovations, systems and technologies //Modern innovations, systems and technologies Founders: Siberian Scientific Center DNIT LLC. – 2022. – Vol. 2. – No. 2. – pp. 201-214.
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