Abstract
The problem of output accelerated stabilization of a chain of integrators is considered. Proposed control law nonlinearly depends on the output and its delayed values, and it does not use an observer to estimate the unmeasured components of the state. It is proven that such a nonlinear delayed control law ensures practical output stabilization with rates of convergence faster than exponential. The effective way of computation of feedback gains is given. It is shown that closed-loop system stability does not depend on the value of artificial delay, but the maximum value of delay determines the width of stability zone. The efficiency of the proposed control is demonstrated in simulations.
Original language | English |
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Pages (from-to) | 5982-5987 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 53 |
Issue number | 2 |
DOIs | |
State | Published - 2020 |
Event | 21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020 |
Funding
Funders | Funder number |
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Ministry of Education and Science of the Russian Federation | 2019-0898 |
Government Council on Grants, Russian Federation | 08-08, MD-1054.2020.8, 075-15-2020-184 |
Keywords
- Delay-dependent output feedback
- Implicit lyapunov-krasovskii Functional (ILKF)
- Linear matrix inequalities (LMIs)
- Nonlinear control
- Practical stability