About the robustness of the middle stabilizing controller for quasi-linear state dependent coefficients discrete-time systems

2016 ◽  
Author(s):  
Yulia Danik
Keyword(s):  
Discrete Time ◽  
Stabilizing Controller ◽  
Discrete Time Systems ◽  
State Dependent ◽  
Linear State ◽  
Time Systems

scholarly journals Optimal guaranteed cost filtering for Markovian jump discrete-time systems

2004 ◽  
Vol 2004 (1) ◽  
pp. 33-48 ◽  
Author(s):  
Magdi S. Mahmoud ◽  
Peng Shi
Keyword(s):  
Steady State ◽  
Discrete Time ◽  
Estimation Error ◽  
Linear Matrix ◽  
State Estimator ◽  
Markovian Jump ◽  
Markovian Jump Parameters ◽  
Discrete Time Systems ◽  
Linear State ◽  
Time Systems

This paper develops a result on the design of robust steady-state estimator for a class of uncertain discrete-time systems with Markovian jump parameters. This result extends the steady-state Kalman filter to the case of norm-bounded time-varying uncertainties in the state and measurement equations as well as jumping parameters. We derive a linear state estimator such that the estimation-error covariance is guaranteed to lie within a certain bound for all admissible uncertainties. The solution is given in terms of a family of linear matrix inequalities (LMIs). A numerical example is included to illustrate the theory.

scholarly journals Stabilization of nonlinear discrete-time systems via a digital communication channel

2005 ◽  
Vol 2005 (1) ◽  
pp. 43-56 ◽  
Author(s):  
V. N. Phat ◽  
J. Jiang
Keyword(s):  
Discrete Time ◽  
Communication Channel ◽  
Digital Communication ◽  
Sufficient Conditions ◽  
Constructive Method ◽  
Control Input ◽  
Stabilizing Controller ◽  
Discrete Time Systems ◽  
Global And Local ◽  
Time Systems

We deal with the stabilization problem for a class of nonlinear discrete-time systems via a digital communication channel. We consider the case when the control input is to be transmitted via communication channels with a bit-rate constraint. Under an appropriate growth condition on the nonlinear perturbation, we establish sufficient conditions for the global and local stabilizability of semilinear and nonlinear discrete-time systems, respectively. A constructive method to design a feedback stabilizing controller is proposed.

Robust Control Design for Retarded Discrete-Time Systems

2006 ◽  
Vol 129 (1) ◽  
pp. 72-76 ◽  
Author(s):  
El Houssaine Tissir
Keyword(s):  
Linear Matrix Inequalities ◽  
Discrete Time ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Synthesis Methods ◽  
Matrix Inequalities ◽  
Stabilizing Controller ◽  
Discrete Time Systems ◽  
Robust Control Design ◽  
Time Systems

This paper focuses on the analysis and synthesis of a robust stabilizing controller for linear discrete time systems with norm-bounded time varying uncertainties. Delay independent robust stability conditions are derived and two synthesis methods are presented. One method is to construct a robust memoryless state feedback control law from the solutions of linear matrix inequalities. The other method consists of designing robust observer-based output feedback controller. The results are expressed in termes of linear matrix inequalities. A comparison with μ∕LDI tests is presented. Furthermore, numerical examples are given for illustration.

Sign in / Sign up

Export Citation Format

Share Document