Title :
Generalized H∞ performance and mixed H2/H∞ optimization for time delay systems
Author :
Guo, Lei O. ; Zhang, Yumin ; Feng, Chun-Bo
Author_Institution :
Res. Inst. of Autom., Southeast Univ., Nanjing, China
Abstract :
In this paper, a multi-objective optimization problem is investigated for a class of nonlinear continuous-time systems with time-varying delays. The controlled plant is supposed to have nonlinear dynamics and time delays which exist simultaneously in the state, the input and the measured output. To present the compatible mixed H2/H∞ control problem, the generalized H∞ performance index is firstly introduced for the nonlinear delay systems instead of the standard H∞ performance one. As such, the novel mixed H2/H∞ optimization problem can be formulated and the solvability conditions can be provided via convex computation approaches. After some algebraic transformations and decompositions, the involved nonlinear constraints can be eliminated and LMI-based convex algorithms can be given for the both state feedback and the output feedback design. These results can cover many previous works on the pure guaranteed cost control and the standard H∞ control, and can be generalized to other multiple objective optimization problems with quadratic performance indexes.
Keywords :
H∞ control; H∞ optimisation; continuous time systems; delay systems; linear matrix inequalities; nonlinear control systems; performance index; state feedback; time-varying systems; LMI-based convex algorithms; guaranteed cost control; linear matrix inequalities; mixed H2/H∞ optimization; multi-objective optimization problem; nonlinear continuous-time systems; nonlinear dynamics; output feedback; quadratic performance indexes; state feedback; time delay systems; time-varying delays; Algorithm design and analysis; Control systems; Delay effects; Delay systems; Nonlinear control systems; Output feedback; Performance analysis; State feedback; Time measurement; Time varying systems;
Conference_Titel :
Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th
Print_ISBN :
0-7803-8653-1
DOI :
10.1109/ICARCV.2004.1468794