A switched state feedback law for the stabilization of LTI systems.

Robust H∞ Control and Stabilization of Uncertain Switched Linear Systems: A Multiple Lyapunov Functions Approach

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2238874 ◽

2005 ◽

Vol 128 (3) ◽

pp. 696-700 ◽

Cited By ~ 43

Author(s):

Zhijian Ji ◽

Xiaoxia Guo ◽

Long Wang ◽

Guangming Xie

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

State Feedback ◽

Robust Stabilization ◽

Disturbance Attenuation ◽

Control Synthesis ◽

Linear Matrix ◽

Multiple Lyapunov Functions ◽

Switched Linear Systems ◽

Switched State Feedback

This paper addresses robust H∞ control and stabilization of switched linear systems with norm-bounded time-varying uncertainties. First, based on multiple Lyapunov functions methodology, a sufficient condition is derived for robust stabilization with a prescribed disturbance attenuation level γ only by employing state-dependent switching rules. Then the robust H∞ control synthesis via switched state feedback is studied. It is shown that a switched state-feedback controller can be designed to stabilize the switched systems with an H∞-norm bound if a matrix inequality based condition is feasible. This condition can be dealt with as linear matrix inequalities (LMIs) provided that the associated parameters are selected in advance. All the results presented can be regarded as an extension of some existing results for both switched and nonswitched systems.

On suboptimal switched state-feedback control of semi-active vibrating structures

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8814982 ◽

2019 ◽

Author(s):

Maciej Wasilewski ◽

Dominik Pisarski

Keyword(s):

Feedback Control ◽

State Feedback ◽

State Feedback Control ◽

Vibrating Structures ◽

Switched State Feedback

Switched state feedback control for continuous-time uncertain systems

Automatica ◽

10.1016/j.automatica.2008.10.010 ◽

2009 ◽

Vol 45 (2) ◽

pp. 593-597 ◽

Cited By ~ 60

Author(s):

José C. Geromel ◽

Grace S. Deaecto

Keyword(s):

Feedback Control ◽

Continuous Time ◽

Uncertain Systems ◽

State Feedback ◽

State Feedback Control ◽

Switched State Feedback

Robust H∞ Switched State-feedback Control of Uncertain Linear Systems

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2018.11.083 ◽

2018 ◽

Vol 51 (25) ◽

pp. 67-72 ◽

Cited By ~ 1

Author(s):

Ivan F.Y. Tello ◽

Lucas M. Esteves ◽

Rodrigo Cardim ◽

Marcelo C.M. Teixeira ◽

Edvaldo Assunção ◽

...

Keyword(s):

Feedback Control ◽

Linear Systems ◽

State Feedback ◽

State Feedback Control ◽

Switched State Feedback ◽

Uncertain Linear Systems