L2-gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation

2012 ◽  
Vol 43 (4) ◽  
pp. 731-740 ◽  
Author(s):  
Xinquan Zhang ◽  
Jun Zhao ◽  
Georgi M. Dimirovski
Keyword(s):  
Linear Systems ◽  
Actuator Saturation ◽  
Control Synthesis ◽  
Switched Linear Systems ◽  
And Control ◽  
L2 Gain

scholarly journals Stability and control synthesis for discrete-time linear systems subject to actuator saturation by output feedback

2006 ◽  
Vol 2006 ◽  
pp. 1-11 ◽  
Author(s):  
A. Benzaouia ◽  
F. Mesquine ◽  
A. Hmamed ◽  
H. Aoufoussi
Keyword(s):  
Asymptotic Stability ◽  
Linear Systems ◽  
Discrete Time ◽  
Output Feedback ◽  
Actuator Saturation ◽  
Linear Optimization ◽  
Sufficient Conditions ◽  
Control Synthesis ◽  
And Control ◽  
Time Linear

This paper presents sufficient conditions of asymptotic stability for discrete-time linear systems subject to actuator saturations with an output feedback law. The derived stability results are given in terms of LMIs. A new proof is presented to obtain previous conditions of asymptotic stability. A numerical example is used to illustrate this technique by using a linear optimization problem subject to LMI constraints.

scholarly journals Improved H2 and H¥ conditions for robust analysis and control synthesis of linear systems

2005 ◽  
Vol 16 (4) ◽  
pp. 427-434 ◽  
Author(s):  
Alexandre Trofino ◽  
Daniel F. Coutinho ◽  
Karina A. Barbosa
Keyword(s):  
Linear Systems ◽  
Control Synthesis ◽  
H Infinity ◽  
Stability Performance ◽  
Augmented Space ◽  
Polytopic Uncertainties ◽  
Discrete Time Case ◽  
Performance Conditions ◽  
And Control ◽  
Parameter Dependent

This paper proposes improved H-2 and H-infinity conditions for continuous-time linear systems with polytopic uncertainties based on a recent result for the discrete-time case. Basically, the performance conditions are built on an augmented-space with additional multipliers resulting in a decoupling between the Lyapunov and system matrices. This nice property is used to develop new conditions for the robust stability, performance analysis, and control synthesis of linear systems using parameter dependent Lyapunov functions in a numerical tractable way.

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

2005 ◽  
Vol 128 (3) ◽  
pp. 696-700 ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document