scholarly journals Optimal unbiased reduced order filtering for discrete-time descriptor systems via LMI

2009 ◽  
Vol 58 (6) ◽  
pp. 436-444 ◽  
Author(s):  
M. Darouach ◽  
M. Zasadzinski
Keyword(s):  
Discrete Time ◽  
Descriptor Systems ◽  
Reduced Order

THE LINEAR QUADRATIC DYNAMIC GAME FOR DISCRETE-TIME DESCRIPTOR SYSTEMS

2003 ◽  
Vol 05 (04) ◽  
pp. 361-374
Author(s):  
HUA XU ◽  
HIROAKI MUKAIDANI
Keyword(s):  
State Space ◽  
Discrete Time ◽  
Dynamic Game ◽  
Descriptor Systems ◽  
Linear Feedback ◽  
Space System ◽  
Linear Quadratic ◽  
Reduced Order ◽  
State Space System ◽  
Zero Sum

The linear quadratic zero-sum dynamic game for discrete time descriptor systems is considered. A method, which involves solving a linear quadratic zero-sum dynamic game for a reduced-order discrete time state space system, is developed to find the linear feedback saddle-point solutions of the problem. Checkable conditions, which are described in terms of two dual algebraic Riccati equations and a Hamiltonian matrix, are given such that the linear quadratic zero-sum dynamic game for the reduced-order discrete time state space system is available. Sufficient conditions for the existence of the solutions are obtained. In contrast with the dynamic game in state space systems, the dynamic game in descriptor systems admits uncountably many linear feedback saddle-point solutions. All these solutions have the same existence conditions and achieve the same value of the dynamic game.

Reduced-Order Observer Design for Discrete-Time Descriptor Systems With Unknown Inputs: An Linear Matrix Inequality Approach

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
Shenghui Guo ◽  
Fanglai Zhu
Keyword(s):  
Linear Matrix Inequality ◽  
Discrete Time ◽  
Observer Design ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Unknown Input ◽  
Matrix Inequality ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Reduced Order Observer

Reduced-order observer design methods for both linear and nonlinear discrete-time descriptor systems based on the linear matrix inequality (LMI) approach are investigated. We conclude that the conditions under which a full-order observer exists can also guarantee the existence of a reduced-order observer. By choosing a special reduced-order observer gain matrix, a reduced-order unknown input observer is proposed for linear system with unknown inputs, and then an unknown input reconstruction is provided for some special cases. We also extend above results to the cases of nonlinear systems. Finally, three numerical comparative simulation examples are given to illustrate the effectiveness and merits of proposed methods.

Reduced order positive filter design for positive uncertain discrete-time linear systems*

2021 ◽  
pp. 1-1
Author(s):  
Amanda Spagolla ◽  
Cecilia F. Morais ◽  
Ricardo C. L. F. Oliveira ◽  
Pedro L. D. Peres
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Filter Design ◽  
Reduced Order ◽  
Time Linear

scholarly journals Event-triggered Discrete-time Sliding Mode Control for High-order Systems via Reduced-order Model Approach

2020 ◽  
Vol 53 (2) ◽  
pp. 6207-6212
Author(s):  
Kiran Kumari ◽  
Bijnan Bandyopadhyay ◽  
Johann Reger ◽  
Abhisek K. Behera
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
High Order ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Mode Control ◽  
Event Triggered ◽  
Model Approach

Robust reduced-order l2−l∞ filtering for network-based discrete-time linear systems

2015 ◽  
Vol 109 ◽  
pp. 110-118 ◽  
Author(s):  
Zhuo Zhang ◽  
Zexu Zhang ◽  
Shichun Yang
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Reduced Order ◽  
Time Linear
Sign in / Sign up

Export Citation Format

Share Document