Abstract
In this paper, an algorithm for computing a polynomial control and a polynomial Lyapunov function in the simplicial Bernstein form is developed. This ensures asymptotic stability of the designed feedback system. To this end, we provide certificates of positivity for polynomials in the simplicial Bernstein form. Subsequently, the state space is partitioned into simplices. On each simplex, we simultaneously compute Lyapunov and control functions. With this control, the equilibrium is asymptotically stable.
Original language | English |
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Title of host publication | 2018 Annual American Control Conference (ACC) |
Number of pages | 6 |
Publisher | IEEE |
Publication date | 16 Aug 2018 |
Pages | 3738-3743 |
Article number | 8431599 |
ISBN (Print) | 978-1-5386-5429-3 |
ISBN (Electronic) | 978-1-5386-5428-6 |
DOIs | |
Publication status | Published - 16 Aug 2018 |
Event | 2018 American Control Conference: 2018 American Control Conference - Wisconsin Center, Milwaukee, United States Duration: 27 Jun 2018 → 29 Jun 2018 http://acc2018.a2c2.org/ http://acc2018.a2c2.org/ |
Conference
Conference | 2018 American Control Conference |
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Location | Wisconsin Center |
Country/Territory | United States |
City | Milwaukee |
Period | 27/06/2018 → 29/06/2018 |
Internet address |
Keywords
- Bernstein polynomial
- certificates of positivity
- control design
- inclusion isotonicity
- stability