施蔣彬　謝緯安

摘 要：討論了一類轉(zhuǎn)移概率部分未知的離散Markov跳變系統(tǒng)的控制問題，針對有外界未知干擾，設計了基于觀測器的優(yōu)化魯棒控制器?；隰敯艨刂评碚?，通過對重構的觀測器系統(tǒng)的分析，提出了使得系統(tǒng)隨機穩(wěn)定且滿足性能控制器存在條件。結合構造的Lyapunov和線性矩陣不等式變換，給出了控制器的設計方法。設計的控制器具有隨機穩(wěn)定性，抗干擾能力強。仿真示例說明了設計方法的有效性。

關鍵詞：離散跳變系統(tǒng) 性能 控制器

Control of a Class of Discrete Jumping Systems with Partially Unknown Transition Probabilities

Shi Jiangbin Xie Weian

Abstract：The article discusses the control problem of a discrete Markov jump system with a partially unknown transition probability. Aiming at the unknown external interference， an optimized robust controller based on the observer is designed. Based on the robust control theory， through the analysis of the reconstructed observer system， the article proposes to make the system stochastically stable and satisfy the existence conditions of the performance controller. Combining the constructed Lyapunov and linear matrix inequality transformation， the design method of the controller is given. The designed controller has random stability and strong anti-interference ability. The simulation example illustrates the effectiveness of the design method.

Key words：discrete jump system， performance， controller