Title :
Optimization of coordinate transformation matrix for discrete-time H∞ static-output-feedback control problems
Author :
Zhi-Yong Feng ; Li Xu ; Ye Li ; Huijin Fan ; Xue-Xun Guo
Author_Institution :
Hubei Key Lab. of Adv. Technol. of Automotive Parts, Wuhan Univ. of Technol., Wuhan, China
Abstract :
The problem of how to select a coordinate transformation matrix to improve the LMI conditions for H∞ static-output-feedback (SOF) control of discrete-time systems is a challenging open problem. This paper applies a newly proposed strategy to solve this problem. An iterative algorithm is developed to produce controllers with locally optimal closed-loop H∞ performances. The algorithm is also applied to other H∞ SOF control problems, such as decentralized H∞ SOF control and simultaneous H∞ SOF control. Finally, numerical examples are provided to demonstrate the effectiveness and advantages of the proposed method.
Keywords :
H∞ control; closed loop systems; discrete time systems; feedback; iterative methods; linear matrix inequalities; optimal control; optimisation; H∞ SOF control problem; LMI conditions; coordinate transformation matrix optimisation; discrete time H∞ static output feedback control problem; iterative algorithm; optimal closed loop H∞ performance; Algorithm design and analysis; Control systems; Educational institutions; Iterative methods; Matrix decomposition; Optimization; Symmetric matrices; Decentralized control; H∞ control; Linear matrix inequality (LMI); Simultaneous control; Static output feedback;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895638
