TY - JOUR
T1 - State transformation for H∞ control of uncertain jumping delayed systems
AU - Mahmoud, Magdi S.
AU - Ismail, Abdulla
AU - Shi, Peng
AU - Agarwal, Ramesh K.
PY - 2004/12
Y1 - 2004/12
N2 - A new state transformation exhibiting the delay-dependent behaviour for a class of uncertain delayed systems with Markovian jump parameters is developed to solve the problem of H∞ control. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, time-varying and norm-bounded that appear in the state, input and delayed-state matrices. The input and state delays are known. Complete results for instantaneous state feedback control designs are established which guarantee the strong-delay dependent stochastic stability with a prescribed H∞-performance. The solutions are provided in terms of a finite set of coupled linear matrix inequalities. A numerical example is given to show the potential of the proposed techniques.
AB - A new state transformation exhibiting the delay-dependent behaviour for a class of uncertain delayed systems with Markovian jump parameters is developed to solve the problem of H∞ control. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, time-varying and norm-bounded that appear in the state, input and delayed-state matrices. The input and state delays are known. Complete results for instantaneous state feedback control designs are established which guarantee the strong-delay dependent stochastic stability with a prescribed H∞-performance. The solutions are provided in terms of a finite set of coupled linear matrix inequalities. A numerical example is given to show the potential of the proposed techniques.
KW - H state feedback
KW - Markovian jump parameters
KW - Stochastic stability
KW - Time-delay systems
KW - Uncertain parameters
UR - https://www.scopus.com/pages/publications/8644224199
U2 - 10.1093/imamci/21.4.419
DO - 10.1093/imamci/21.4.419
M3 - Article
AN - SCOPUS:8644224199
SN - 0265-0754
VL - 21
SP - 419
EP - 431
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 4
ER -