Non-fragile robust stabilization for stochastic delay-varying systems with polytopic-type uncertainties

作者：Gao, Wen-Hua^*; Deng, Fei-Qi; Zhang, Rui-Qiu

来源：Systems Engineering and Electronics, 2011, 33(1): 146-150.

DOI：10.3969/j.issn.1001-506X.2011.01.30

• Free-weighting matrix method
• Lyapunov-Krasovskii functionals
• Non-fragile
• Parameter dependents
• Polytopic-type uncertainty
• Robust stabilization
• Simulation example
• Stabilization problems

The non-fragile robust exponentially stabilization problem for stochastic delay-varying systems with polytopic-type uncertainties is discussed, and the perturbed matrix in the actual implemented controller is assumed satisfying polytopic-type uncertainties. Based on parameter-dependent Lyapunov-Krasovskii functional and free-weighting matrix method, the Lyapunov matrix and systems matrix are separated. Some delay-dependent non-fragile stabilization conditions are presented in terms of linear matrix inequalities. The simulation example shows that the result is efficient.

• 出版日期2011-1
• 单位华南理工大学