Guaranteed cost finite‐time control for semi‐Markov jump systems with event‐triggered scheme and quantization input. (16th July 2019)

• Record Type: Journal Article
• Authors: Zong, Guangdeng; Ren, Hangli
• Other Names: Quevedo Daniel E. guestEditor.; Chatterjee Debasish guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 15(2019)
• Page Start: 5251
• Page End: 5273
• Publication Date: 2019-07-16
• Subjects: event‐triggered scheme -- finite‐time boundedness -- guaranteed cost control -- quantization -- semi‐Markov jump systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4672
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: In this paper, the guaranteed cost finite‐time control for semi‐Markov jump systems with unknown transition rates is addressed. An event‐triggered scheme is constructed to automatically monitor the data transmission and the input quantization is involved to reduce the cost of control. Different from the existing general transition rates in the semi‐Markov jump systems, the upper and lower bounds of transition rates are not given in advance but obtained through the stability criteria. The stability criteria are established to verify the stochastic finite‐time boundedness of the closed‐loop event‐triggered system and estimate the performance index of the given cost function. A guaranteed cost optimal controller is also proposed to stabilize the considered system. Finally, the vertical take‐off and landing helicopter model is introduced to verify the effectiveness of the main algorithms.