Robust H/sub /spl infin// filtering of uncertain 2D discrete systems

1999 ◽  
Keyword(s):  
Discrete Systems ◽  
2D Discrete Systems

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.

Robust output feedback control of 2D discrete systems with actuator saturation and time-varying delay

2016 ◽  
Vol 39 (11) ◽  
pp. 1673-1695 ◽  
Author(s):  
Vipin Chandra Pal ◽  
Richa Negi
Keyword(s):  
Output Feedback ◽  
Actuator Saturation ◽  
Discrete Systems ◽  
Control Synthesis ◽  
Dynamic Output Feedback ◽  
Time Varying ◽  
Roesser Model ◽  
External Disturbances ◽  
Dynamic Output ◽  
2D Discrete Systems

An observer-based dynamic output feedback H∞ controller is proposed for a class of two-dimensional (2D) uncertain discrete systems described by the Roesser model with actuator saturation, time-varying state delay and external disturbances. First, a delay-dependent Lyapunov stability condition is derived in linear matrix inequality (LMI) form which uses the reciprocal convex approach and H∞ disturbance attenuation performance is also analysed. Secondly, a convex hull is adopted to represent the saturation nonlinearity. The H∞ control synthesis for uncertain 2D discrete systems is described by a Roesser model subjected to actuator saturation and external disturbances using an observer-based dynamic output feedback approach. Some practical examples are provided to highlight the usefulness of the presented results.

Li-Yorke chaos in 2D discrete systems

2008 ◽  
Vol 26 (1-2) ◽  
pp. 503-515
Author(s):  
Chuanjun Tian ◽  
Guanrong Chen
Keyword(s):  
Discrete Systems ◽  
2D Discrete Systems

scholarly journals Robust Filtering of 2D Roesser Discrete Systems: A Polynomial Approach

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Chakir El-Kasri ◽  
Abdelaziz Hmamed ◽  
Teresa Alvarez ◽  
Fernando Tadeo
Keyword(s):  
Estimation Error ◽  
State Space Model ◽  
Discrete Systems ◽  
Noise Signal ◽  
Linear Matrix ◽  
Robust Filtering ◽  
Matrix Inequalities ◽  
Error System ◽  
2D Discrete Systems ◽  
Parameter Dependent

The problem of robust filtering is investigated for the class of uncertain two-dimensional (2D) discrete systems described by a Roesser state-space model. The main contribution is a systematic procedure for generating conditions for the existence of a 2D discrete filter such that, for all admissible uncertainties, the error system is asymptotically stable, and the norm of the transfer function from the noise signal to the estimation error is below a prespecified level. These conditions are expressed as parameter-dependent linear matrix inequalities. Using homogeneous polynomially parameter-dependent filters of arbitrary degree on the uncertain parameters, the proposed method extends previous results in the quadratic framework and the linearly parameter-dependent framework, thus reducing its conservatism. Performance of the proposed method, in comparison with that of existing methods, is illustrated by two examples.

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