An LMI approach to H∞ controller design for linear time-delay systems

Automatica

Volumn 33, Issue 4, 1997, Pages 737-739

  Choi, Han Ho ^a   Chung, Myung Jin ^b  

^a Team 2   (South Korea)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Delayed system; H control; Linear matrix inequality (LMI); Output feedback control

Indexed keywords

ALGORITHMS; LINEAR ALGEBRA; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; STATE SPACE METHODS;

CONTROLLER DESIGN; CONVEX OPTIMIZATION; LINEAR MATRIX INEQUALITY; LINEAR TIME DELAY SYSTEMS;

FEEDBACK CONTROL;

EID: 0031108999     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)00242-7     Document Type: Article

References (8)

1. Albert, A. (1969). Conditions for positive and nonnegative definiteness in terms of pseudoinverses, SIAM J. Appl. Math., 17, 434-440.
2. ∞ controller design for state delayed linear systems, Automatica, 32, 1073-1075.
3. ∞ control problems. IEEE Trans. Autom. Control, AC-34, 831-847.
4. ∞ control, Int. J. Robust Nonlinear Control, 4, 421-448.
5. ∞ control problem: LMI existence conditions and state space formulas. Automatica, 30, 1307-1317.
6. ∞ optimization: a design method based on the algebraic Riccati equation. IEEE Trans. Autom. Control, AC-32, 427-429.
7. Petersen, I. R. (1989). Complete results for a class of state feedback disturbance attenuation problems, IEEE Trans. Autom. Control, AC-34, 1196-1199.
8. Zhou, K., J. C. Doyle and K. Glover (1996). Robust and Optimal Control. Prentice-Hall, Upper Saddle River, NJ.