TY - CHAP

T1 - Robust Control of Linear Systems via Switching

AU - Gershon, Eli

AU - Shaked, Uri

N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

PY - 2019

Y1 - 2019

N2 - An alternative approach to robust control is presented where the uncertainty polytope is divided into overlapping smaller regions and where each of these regions is assigned to a separate subsystem. Assuming that there is an online information on which of the regions the parameters of the system move to, the method of the previous chapters for H∞ design of switched system with dwell time is applied. In order to handle the switching between the subsystems, a Lyapunov Function (LF) in a quadratic form, which is nonincreasing at the switching instances, is assigned to each subsystem. This function is used to determine the stability and to find a bound on the L2 -gain of the switched system. The obtained results are then used to solve the corresponding robust H∞ state-feedback and static output-feedback control problems. Two practical examples are given which show that, by deliberately introducing switching, the obtained designs are less conservative than those achieved by the available standard techniques.

AB - An alternative approach to robust control is presented where the uncertainty polytope is divided into overlapping smaller regions and where each of these regions is assigned to a separate subsystem. Assuming that there is an online information on which of the regions the parameters of the system move to, the method of the previous chapters for H∞ design of switched system with dwell time is applied. In order to handle the switching between the subsystems, a Lyapunov Function (LF) in a quadratic form, which is nonincreasing at the switching instances, is assigned to each subsystem. This function is used to determine the stability and to find a bound on the L2 -gain of the switched system. The obtained results are then used to solve the corresponding robust H∞ state-feedback and static output-feedback control problems. Two practical examples are given which show that, by deliberately introducing switching, the obtained designs are less conservative than those achieved by the available standard techniques.

UR - http://www.scopus.com/inward/record.url?scp=85066752543&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-16008-1_4

DO - 10.1007/978-3-030-16008-1_4

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AN - SCOPUS:85066752543

T3 - Lecture Notes in Control and Information Sciences

SP - 43

EP - 59

BT - Lecture Notes in Control and Information Sciences

PB - Springer Verlag

ER -