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Improved delay-range-dependent stability analysis of a time-delay system with norm bounded uncertainty
Rajeeb Dey1, Sandip Ghosh2, Goshaidas Ray3
1Department of Electrical Engineering, National Institute of Technology, Silchar 788010, India.
ISA Transactions
|July 21, 2015
Summary
This study enhances stability analysis for uncertain linear time-delay systems using integral inequalities. It compares non-delay partitioning and delay partitioning methods for improved robustness and delay bounds.
Area of Science:
- Control Theory
- Systems Engineering
- Applied Mathematics
Background:
- Linear time-delay systems are crucial in various engineering fields.
- Robust stability analysis is essential for system reliability under uncertainty.
- Existing methods for delay-range-dependent stability analysis have limitations.
Purpose of the Study:
- To develop improved robust delay-range-dependent stability criteria for uncertain linear time-delay systems.
- To compare the efficacy of non-delay partitioning (NDP) and delay partitioning (DP) approaches.
- To investigate the trade-offs between delay bounds and computational complexity.
Main Methods:
- Utilizing integral inequalities to approximate uncertain integration limits in Lyapunov-Krasovskii functionals.
- Applying both non-delay partitioning (NDP) and delay partitioning (DP) frameworks.
- Comparative analysis of the derived stability criteria.
Main Results:
- The proposed integral inequality approach yields less conservative stability results compared to existing methods.
- A detailed comparison highlights the relative merits of NDP and DP.
- Identified trade-offs allow for optimizing delay bounds and reducing decision variables.
Conclusions:
- The improved stability analysis provides more accurate and less conservative results for uncertain linear time-delay systems.
- The comparative study offers valuable insights for selecting appropriate analysis methods.
- Numerical examples validate the effectiveness and applicability of the proposed approach.
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