Title :
Sub-optimal linear quadratic control for non-standard discrete-time singularly perturbed systems
Author :
Cai, Chenxiao ; Zou, Yun
Author_Institution :
Dept. of Autom., Nanjing Univ. of Sci. & Technol., China
Abstract :
A sub-optimal controller is designed for nonstandard discrete-time singularly perturbed systems through LMT (linear matrix inequality) methodology. It is different from the general fast-slow decomposition method. It is effective to avoid matrix singularity phenomena, because the matrix inequalities proposed in the paper are independent of perturbation parameter. A simulation result is presented to demonstrate the effectiveness of our design method.
Keywords :
control system synthesis; discrete time systems; linear matrix inequalities; linear quadratic control; linear systems; matrix decomposition; singularly perturbed systems; fast-slow decomposition method; linear matrix inequality; matrix singularity phenomena; nonstandard discrete-time singularly perturbed systems; suboptimal controller; suboptimal linear quadratic control; Automatic control; Control systems; Cost function; Design automation; Linear feedback control systems; Linear matrix inequalities; Matrix decomposition; Optimal control; Riccati equations; Robust control;
Conference_Titel :
Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th
Print_ISBN :
0-7803-8653-1
DOI :
10.1109/ICARCV.2004.1469308
