SDRE based stabilization of the affine control system with the stationary linear part
| Autor: | Mikhail Dmitriev, Zainelkhriet Murzabekov, Gulbanu Mirzakhmedova, Dmitry Makarov |
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| Rok vydání: | 2019 |
| Předmět: |
020301 aerospace & aeronautics
0209 industrial biotechnology Constant coefficients 02 engineering and technology Nonlinear control Matrix (mathematics) 020901 industrial engineering & automation 0203 mechanical engineering Exponential stability Control theory Control system Riccati equation Affine transformation Constant (mathematics) Mathematics |
| Zdroj: | ICSTCC |
| DOI: | 10.1109/icstcc.2019.8885437 |
| Popis: | A stabilizing regulator is constructed for a nonlinear control system with a constant state matrix and a state-dependent input matrix. A regulator is designed by means of the State-Dependent Riccati Equation (SDRE) technique. The novelty of the work is reducing SDRE to the algebraic matrix Riccati equation with constant coefficients. That simplifies the proof of the asymptotic stability of a closed-loop system. The results are illustrated by the example of a mathematical model of a three-sector economic system, where the stabilization in the equilibrium neighborhood is made by means of investment strategies in the form of feedback control. |
| Databáze: | OpenAIRE |
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