TY - CHAP
T1 - Control
AU - Zhang, Lixian
AU - Zhu, Yanzheng
AU - Shi, Peng
AU - Lu, Qiugang
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - This chapter is concerned with the control problem for discrete-time switched systems with several typical switching signals. Firstly, the problem of designing H∞ state-feedback controllers is investigated for switched linear discrete-time systems with arbitrary switching and polytopic uncertainties. Two approaches on designing parameter-independent (robust) and parameter-dependent H∞ controllers are proposed and the existence conditions of the desired controllers are derived and formulated in terms of a set of linear matrix inequalities (LMIs). Then, considering the average dwell time (ADT) switching, an μ -dependent approach is then introduced for the underlying systems to solve the (Figure presented.) H∞ controller, and the obtained conditions are dependent on the admissible increasing level μ of Lyapunov-like function values at switching instants. Finally, in a network-based environment, the quasi-time-dependent (QTD) H∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell time (MPDT) switching. One redundant channel is introduced in the data transmission from sensor to controller to reduce the probabilities of packet dropouts occurred in the single channel case. Several examples are used to demonstrate the effectiveness of the developed theoretical results.
AB - This chapter is concerned with the control problem for discrete-time switched systems with several typical switching signals. Firstly, the problem of designing H∞ state-feedback controllers is investigated for switched linear discrete-time systems with arbitrary switching and polytopic uncertainties. Two approaches on designing parameter-independent (robust) and parameter-dependent H∞ controllers are proposed and the existence conditions of the desired controllers are derived and formulated in terms of a set of linear matrix inequalities (LMIs). Then, considering the average dwell time (ADT) switching, an μ -dependent approach is then introduced for the underlying systems to solve the (Figure presented.) H∞ controller, and the obtained conditions are dependent on the admissible increasing level μ of Lyapunov-like function values at switching instants. Finally, in a network-based environment, the quasi-time-dependent (QTD) H∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell time (MPDT) switching. One redundant channel is introduced in the data transmission from sensor to controller to reduce the probabilities of packet dropouts occurred in the single channel case. Several examples are used to demonstrate the effectiveness of the developed theoretical results.
UR - https://www.scopus.com/pages/publications/85028989708
U2 - 10.1007/978-3-319-28850-5_4
DO - 10.1007/978-3-319-28850-5_4
M3 - 章节
AN - SCOPUS:85028989708
T3 - Studies in Systems, Decision and Control
SP - 87
EP - 125
BT - Studies in Systems, Decision and Control
PB - Springer International Publishing
ER -