TY - CHAP
T1 - Constrained regulation of singular semi-Markovian jump systems
AU - Li, Fanbiao
AU - Shi, Peng
AU - Wu, Ligang
N1 - Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
N2 - This chapter studies the constrained regulation problem for a class of singular S-MJS. Using a supplementary variable technique and a plant transformation presented in Chap. 1, a finite PH semi-Markov process has been transformed into a finite Markov chain, which is called its associated Markov chain. Then, the S-MJS of this kind has been transformed into its associated Markovian system. Motivated by recent develops in positively invariant set, necessary and sufficient conditions for the existence of full rank solutions for a class of nonlinear equations are derived, and a new algorithm that provides a solution to the constrained regulation problem is presented.
AB - This chapter studies the constrained regulation problem for a class of singular S-MJS. Using a supplementary variable technique and a plant transformation presented in Chap. 1, a finite PH semi-Markov process has been transformed into a finite Markov chain, which is called its associated Markov chain. Then, the S-MJS of this kind has been transformed into its associated Markovian system. Motivated by recent develops in positively invariant set, necessary and sufficient conditions for the existence of full rank solutions for a class of nonlinear equations are derived, and a new algorithm that provides a solution to the constrained regulation problem is presented.
UR - https://www.scopus.com/pages/publications/85029085264
U2 - 10.1007/978-3-319-47199-0_3
DO - 10.1007/978-3-319-47199-0_3
M3 - 章节
AN - SCOPUS:85029085264
T3 - Studies in Systems, Decision and Control
SP - 47
EP - 64
BT - Studies in Systems, Decision and Control
PB - Springer International Publishing
ER -