Improved robust stabilization method for linear systems with interval time-varying input delays by using Wirtinger
1Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116023, China; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China.
ISA Transactions
|January 25, 2015
Summary
This study addresses robust stabilization for uncertain linear systems with time-varying delays. Novel methods improve stability conditions and controller design efficiently, validated by numerical examples.
Area of Science:
- Control Systems Engineering
- Systems Theory
- Applied Mathematics
Background:
- Uncertain linear systems with time-varying delays present significant control challenges.
- Robust stabilization is crucial for maintaining system performance despite uncertainties and delays.
- Existing methods may suffer from conservatism or high computational load.
Purpose of the Study:
- To investigate the robust stabilization problem for uncertain linear systems with interval time-varying delays.
- To develop improved delay-dependent stability criteria and a state feedback controller design.
- To ensure enhanced stability performance without a significant increase in computational complexity.
Main Methods:
- Construction of novel Lyapunov-Krasovskii functionals.
- Development of delay-partitioning approaches.
- Application of an improved Wirtinger's inequality and the reciprocally convex method.
Main Results:
- Derivation of new delay-dependent stability criteria.
- Demonstration of improved stability conditions compared to existing methods.
- Presentation of an effective state feedback controller design approach.
Conclusions:
- The proposed methods effectively address the robust stabilization of uncertain linear systems with interval time-varying delays.
- The developed criteria enhance stability conditions while managing computational complexity.
- Numerical examples confirm the practical effectiveness of the proposed approach.
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