Finite-time control of discrete-time linear systems 论文
2005IEEE Transactions on Automatic Control引用 459
Stability and Control of Uncertain SystemsMatrix Theory and AlgorithmsControl and Stability of Dynamical Systems
详细信息
- 发表期刊/会议
- IEEE Transactions on Automatic Control
- 发表日期
- 2005-05-01
- 发表年份
- 2005
关键词
Stability and Control of Uncertain SystemsMatrix Theory and AlgorithmsControl and Stability of Dynamical Systems
摘要
In this note, we consider the finite-time stabilization of discrete-time linear systems subject to disturbances generated by an exosystem. Finite-time stability can be used in all those applications where large values of the state should not be attained, for instance in the presence of saturations. The main result provided in the note is a sufficient condition for finite-time stabilization via state feedback. This result is then used to find some sufficient conditions for the existence of an output feedback controller guaranteeing finite-time stability. All the conditions are then reduced to feasibility problems involving linear matrix inequalities (LMIs). Some numerical examples are presented to illustrate the proposed methodology.