An improved robust state-feedback H∞ control synthesis for uncertain discrete-time singular systems

2018 ◽  
Author(s):  
Antonio Gonzalez ◽  
Thierry-Marie Guerra ◽  
Pedro Garcia
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Singular Systems ◽  
Control Synthesis

scholarly journals StochasticH∞Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Yong Zhao ◽  
Xiushan Jiang ◽  
Weihai Zhang
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Closed Loop ◽  
Singular Systems ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Mean Square ◽  
Matrix Inequalities ◽  
Closed Loop System ◽  
Theoretical Results

This paper is concerned with the stochasticH∞state feedback control problem for a class of discrete-time singular systems with state and disturbance dependent noise. Two stochastic bounded real lemmas (SBRLs) are proposed via strict linear matrix inequalities (LMIs). Based on the obtained SBRLs, a state feedbackH∞controller is presented, which not only guarantees the resulting closed-loop system to be mean square admissible but also satisfies a prescribedH∞performance level. A numerical example is finally given to illustrate the effectiveness of the proposed theoretical results.

Dissipative Control of Singular Systems by Proportional Plus Derivative State Feedback

2012 ◽  
Vol 246-247 ◽  
pp. 826-831
Author(s):  
Shuang Yun Xing ◽  
Xin Jing ◽  
Yang Cao
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Singular Systems ◽  
Uncertain System ◽  
Loop System ◽  
Descriptor Systems ◽  
Control Synthesis ◽  
Closed Loop System ◽  
Dissipative Control ◽  
Derivative Matrix

This article deals with the problem of dissipative control synthesis for a class of descriptor systems with uncertainties in the derivative matrix. Attention is focused on the design of a proportional plus derivative (PD) state feedback, which guarantees that the closed-loop system is robustly stable and strict dissipative. Firstly, a sufficient condition for the closed-loop system is robustly stable and strict dissipative is presented by using a simple idea of changing the problem to the corresponding problem of an augmented uncertain system. Then, a PD controller is constructed by solving LMIs. Finally, a numerical example is given to demonstrate that the proposed method is effective.

Sign in / Sign up

Export Citation Format

Share Document