scholarly journals LMI based stability analysis and controller design for a class of 2D continuous-discrete linear systems

2003 ◽  
Author(s):  
K. Galkowski ◽  
W. Paszke ◽  
B. Sulikowski ◽  
E. Rogers ◽  
D.H. Owens
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Controller Design ◽  
Discrete Linear Systems

scholarly journals Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems

2012 ◽  
Vol 22 (2) ◽  
pp. 401-408 ◽  
Author(s):  
Mikołaj Busłowicz ◽  
Andrzej Ruszewski
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Linear Systems ◽  
Type Model ◽  
Stability Tests ◽  
Numerical Examples ◽  
Computer Methods ◽  
Discrete Linear Systems ◽  
Complex Functions ◽  
The Stability

Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systemsAsymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.

scholarly journals Stability Analysis of 2D Discrete Linear System Described by the Fornasini-Marchesini Second Model with Actuator Saturation

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Richa Negi ◽  
Haranath Kar ◽  
Shubhi Purwar
Keyword(s):  
Stability Analysis ◽  
Linear System ◽  
State Space ◽  
Linear Systems ◽  
Actuator Saturation ◽  
Discrete Systems ◽  
Stability Conditions ◽  
Numerical Examples ◽  
Discrete Linear Systems ◽  
2D Discrete Systems

This paper proposes a novel antiwindup controller for 2D discrete linear systems with saturating controls in Fornasini-Marchesini second local state space (FMSLSS) setting. A Lyapunov-based method to design an antiwindup gain of 2D discrete systems with saturating controls is established. Stability conditions allowing the design of antiwindup loops, in both local and global contexts have been derived. Numerical examples are provided to illustrate the applicability of the proposed method.

Using Robust Stability Analysis Theorems for Robust Controller Design

2003 ◽  
Vol 125 (4) ◽  
pp. 669-671 ◽  
Author(s):  
P. Ngamsom ◽  
L. L. Hoberock
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Robust Stability ◽  
Controller Design ◽  
Relative Orientation ◽  
Time Varying ◽  
Robust Controller ◽  
New Approach ◽  
Robust Stability Analysis ◽  
Robust Controller Design

We propose a technique that extends the uses of robust stability analysis (RSA) theorems in a particular class over robust controller design of linear systems subjected to various classes of nonlinear time-varying uncertainties. The technique is based on a new approach of forcing some surfaces in n-space to have a certain relative orientation. A numerical example is included to demonstrate its effectiveness.

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