A new result on observer-based sliding mode control design for a class of uncertain Ito stochastic delay systems

作者：Liu, Zhen; Zhu, Quanmin; Zhao, Lin; Yu, Jinpeng^*; Gao, Cunchen

来源：Journal of the Franklin Institute, 2017, 354(18): 8200-8216.

DOI：10.1016/j.jfranklin.2017.10.016

• TIME-VARYING DELAY
• H-INFINITY CONTROL
• VARIABLE-STRUCTURE CONTROL
• MARKOVIAN JUMP SYSTEMS
• ROBUST STABILIZATION
• STABILITY

This paper develops a new observer-based sliding mode control (SMC) scheme for a general class of Ito stochastic delay systems (SDS). The key merit of the presented scheme lies in its simplicity and integrity in design process of the traditional sliding mode observer (SMO) strategy, i.e., the state observer and sliding surface design as well as the associated sliding mode controller synthesis. For guaranteeing to use the scheme, a new LMIs-based criterion is established to ensure the exponential stability of the underlying sliding mode dynamics (SMDs) in mean-square sense with H-infinity performance. A bench test example is provided to numerically demonstrate the efficacy of the scheme and illustrate the application procedure for potential readers/users with interest in their ad hoc applications and methodology expansion.

• 出版日期2017-12
• 单位中国海洋大学; 青岛大学