State Feedback Controller Design for Discrete-Time Linear System with Time-Varying Delay Using a New Lyapunov-Krasovskii Functional
| Autor: | Goshaidas Ray, Sourav Patra, M. Venkatesh |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Lemma (mathematics) Linear matrix inequality Finite difference 02 engineering and technology symbols.namesake 020901 industrial engineering & automation Exponential stability Computer Science::Systems and Control Control theory Full state feedback 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Convex combination Mathematics |
| Zdroj: | 2018 15th IEEE India Council International Conference (INDICON). |
| DOI: | 10.1109/indicon45594.2018.8986976 |
| Popis: | This paper presents the stabilization problem of linear discrete-time systems with time-varying delay using a new Lyapunov-Krasovskii (LK) functional. A tighter estimate of the forward difference of LK functional is obtained by invoking the summation inequality and reciprocally convex combination lemma. A delay-dependent condition for the existence of state-feedback controller is derived in linear matrix inequality (LMI) framework which ensures asymptotic stability in the sense of Lyapunov. The effectiveness of the proposed results is demonstrated through numerical examples. |
| Databáze: | OpenAIRE |
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