Robust H ∞ filter design for 2D discrete systems in Roesser model

2008 ◽  
Vol 5 (4) ◽  
pp. 413-418 ◽  
Author(s):  
Chun-Yan Gao ◽  
Guang-Ren Duan ◽  
Xiang-Yu Meng
Keyword(s):  
Filter Design ◽  
Discrete Systems ◽  
Roesser Model ◽  
2D Discrete Systems

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.

Time-Domain Matrix Analysis of Polyphase FIR Filters

2012 ◽  
Vol 49 (3) ◽  
pp. 275-290
Author(s):  
Eric J. Balster ◽  
Francis D. Fradette ◽  
Frank A. Scarpino ◽  
Kerry L. Hill
Keyword(s):  
Time Domain ◽  
Filter Design ◽  
Digital Signal ◽  
Time Domain Analysis ◽  
Discrete Systems ◽  
Domain Analysis ◽  
Matrix Analysis ◽  
Student Survey ◽  
Z Domain ◽  
Polyphase Filters

Polyphase filter design is a common subject studied in discrete systems analysis and digital signal processing (DSP) courses. However, the classic z-domain analysis, utilizing the noble identities, gives a conclusion to the true physical structures of polyphase filters which may not be obvious to many students. The proposed time-domain analysis provides a more straightforward development of polyphase implementation of interpolation and decimation functions, and hopes to provide students with a more visual representation of the polyphase interpolation and decimation processes. Results from a student survey show that over 73% of students believe that the proposed polyphase analysis strengthened their understanding of polyphase filters, and over 71% would prefer to use the proposed method over the traditional z-domain analysis when explaining polyphase filters to others.

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.

Finite-time boundedness of two-dimensional positive continuous-discrete systems in Roesser model

2020 ◽  
pp. 014233122098088
Author(s):  
Shipei Huang ◽  
Zhengbing Yan ◽  
Zhengjiang Zhang ◽  
Guoqiang Zeng
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Two Dimensional ◽  
Roesser Model ◽  
External Disturbances ◽  
Positive Type ◽  
Finite Time Stability ◽  
Polytopic Uncertainties ◽  
Finite Time Boundedness

This paper is concerned with the finite-time boundedness of two dimensional (2-D) positive continuous-discrete systems in Roesser model. By constructing an appropriate co-positive type Lyapunov function, sufficient conditions of finite-time stability for the nominal 2-D positive continuous-discrete system are established. Sufficient conditions of finite-time boundedness for the addressed system with external disturbances are also proposed. The proposed results are then extended to uncertain cases, where the interval and polytopic uncertainties are considered respectively. Finally, three examples are provided to illustrate the effectiveness of the proposed results.

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