Stability of interval time-varying delay systems: A nonuniform delay partitioning approach
Saved in:
| Title: | Stability of interval time-varying delay systems: A nonuniform delay partitioning approach |
|---|---|
| Authors: | Parlakçi, M.N.A. |
| Publisher Information: | IFAC Secretariat |
| Publication Year: | 2009 |
| Collection: | Istanbul Bilgi University: Open Access |
| Subject Terms: | Cone Complementary Method, Delay Partitioning, Interval Time-Varying Delay, Linear Matrix İnequality, Time Delay Systems, Convex Optimization, Delay Control Systems, Linear Matrix İnequalities, Lyapunov Functions, Numerical Methods, System Stability, Time Delay, Time Varying Control Systems, Complementary Methods, Conservatism Reductions, Convex Optimization Algorithms, Delay Dependent Stability Criterion, Interval Time-Varying Delays, Lyapunov-Krasovskii Functionals, Time-Delay Systems, Stability Criteria |
| Description: | This paper investigates the conservatism reduction of Lyapunov-Krasovskii based conditions for the stability of a class of interval time-varying delay systems. The main idea is based on the nonuniform decomposition of the integral terms of the Lyapunov-Krasovskii functional. The delay interval is decomposed into a finite number of nonuniform segments with some scaling parameters. Both differentiable delay case and nondifferentiable delay case or unknown delay derivative bound case are taken into consideration. Sufficient delay-dependent stability criteria are derived in terms of matrix inequalities. Introducing a cone complementary problem, a convex optimization algorithm is obtained so that a suboptimal maximum allowable delay upper bound is achieved. Two numerical examples with case studies are given to demonstrate the effectiveness of the proposed method with respect to some existing ones from the literature. Copyright © IFAC 2009. |
| Document Type: | conference object |
| Language: | English |
| ISBN: | 978-3-902661-67-8 3-902661-67-4 |
| Relation: | IFAC Proceedings Volumes (IFAC-PapersOnline); Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı; https://hdl.handle.net/11411/6526; 100; PART 1; N/A; 96 |
| DOI: | 10.3182/20090901-3-ro-4009.00013 |
| Availability: | https://hdl.handle.net/11411/6526 https://doi.org/10.3182/20090901-3-ro-4009.00013 |
| Rights: | info:eu-repo/semantics/openAccess |
| Accession Number: | edsbas.C364B8BA |
| Database: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | This paper investigates the conservatism reduction of Lyapunov-Krasovskii based conditions for the stability of a class of interval time-varying delay systems. The main idea is based on the nonuniform decomposition of the integral terms of the Lyapunov-Krasovskii functional. The delay interval is decomposed into a finite number of nonuniform segments with some scaling parameters. Both differentiable delay case and nondifferentiable delay case or unknown delay derivative bound case are taken into consideration. Sufficient delay-dependent stability criteria are derived in terms of matrix inequalities. Introducing a cone complementary problem, a convex optimization algorithm is obtained so that a suboptimal maximum allowable delay upper bound is achieved. Two numerical examples with case studies are given to demonstrate the effectiveness of the proposed method with respect to some existing ones from the literature. Copyright © IFAC 2009. |
|---|---|
| ISBN: | 9783902661678 3902661674 |
| DOI: | 10.3182/20090901-3-ro-4009.00013 |