Title :
Sufficient LMI conditions for output feedback control problems
Author :
Crusius, César A R ; Trofino, Alexandre
Author_Institution :
Stanford Univ., CA, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
The authors present linear matrix inequality (LMI) conditions for output feedback control problems. The results are based on sufficient conditions because they are dependent on the particular state-space representation used for describing the system. Nevertheless, the conditions are not sensitive to a certain class of state-space transformations, and if the control problem is feasible then there exists some state-space transformation leading the conditions to be necessary and sufficient for the problem. The authors approach can be used for designing decentralized controllers and is easily extended to H 2, H∞ and mixed H2/H∞ problems via standard LMI techniques. The continuous- and discrete-time cases are considered and numerical examples are given to illustrate the results
Keywords :
continuous time systems; decentralised control; discrete time systems; feedback; matrix algebra; stability; state-space methods; H∞ control; H2 control; decentralized controllers; linear matrix inequality conditions; mixed H2/H∞ problems; output feedback control problems; state-space representation; sufficient LMI conditions; Automatic control; Chaotic communication; Communication system control; Eigenvalues and eigenfunctions; Feedback control; Output feedback; Process control; Sampling methods; Signal processing; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on