| Title |
Delay-dependent Robust Stability of Discrete-time Uncertain Delayed Descriptor Systems using Quantization/overflow Nonlinearities |
| Authors |
김종해(Kim, Jong-Hae) ; 오도창(Oh, Do-Cang) |
| DOI |
https://doi.org/10.5370/KIEE.2013.62.4.529 |
| Keywords |
Nonlinear descriptor systems ; Robust stability ; Finite wordlength effect ; Uncertain descriptor systems ; Time-varying delay ; LMI |
| Abstract |
This paper considers the problem of robust stability for uncertain discrete-time interval time-varying delayed descriptor systems using any combinations of quantization and overflow nonlinearities. First, delay-dependent linear matrix inequality (LMI) condition for discrete-time descriptor systems with time-varying delay and quantization/overflow nonlinearities is presented by proper Lyapunov function. Second, it is shown that the obtained condition can be extended into descriptor systems with uncertainties such as norm-bounded parameter uncertainties and polytopic uncertainties by some useful lemmas. The proposed results can be applied to both descriptor systems and non-descriptor systems. Finally, numerical examples are shown to illustrate the effectiveness and less conservativeness. |