Robust global controller design for discrete‐time descriptor systems with multiple time‐varying delays

2020 ◽  
Vol 30 (7) ◽  
pp. 2809-2831 ◽  
Author(s):  
Saleh Mobayen ◽  
Farhad Bayat ◽  
Hossein Omidvar ◽  
Afef Fekih
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Descriptor Systems ◽  
Multiple Time ◽  
Time Varying ◽  
Global Controller

Robust Reliable Control for a Class of Uncertain Discrete-Time Systems with Multiple Time-Varying Delays

2012 ◽  
Vol 630 ◽  
pp. 396-401
Author(s):  
Chong Li
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Design Method ◽  
Robust Stabilization ◽  
System Stability ◽  
Multiple Time ◽  
Reliable Control ◽  
Time Varying ◽  
Robust Reliable Control ◽  
Delay Dependent

The robust reliable control design problem of uncertain discrete-time control systems with multiple time-varying delays is addressed in this article. Uncertainty in system is assumed to satisfy the norm-bounded condition and the time-delay parameter is time-varying unstructured. Under the proposed concepts of exponentially robust stability and exponentially robust stabilization, the delay-dependent exponential stability condition for the robust reliable control system is derived and a new delay-dependent state feedback controller design method is provided. The relationship between system stability and time-delays is also studied. Simulation study shows the effectiveness and feasibility of the proposed controller design method.

State feedback observer-based control design for linear descriptor systems with multiple time-varying delays

2020 ◽  
Vol 37 (4) ◽  
pp. 1218-1236
Author(s):  
V N Phat ◽  
P Niamsup ◽  
N H Muoi
Keyword(s):  
State Feedback ◽  
Design Method ◽  
Sufficient Conditions ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Multiple Time ◽  
Time Varying ◽  
Feedback Controllers ◽  
Delay Function ◽  
Delay Dependent

Abstract In this paper, we propose an linear matrix inequality (LMI)-based design method to observer-based control problem of linear descriptor systems with multiple time-varying delays. The delay function can be continuous and bounded but not necessarily differentiable. First, by introducing a new set of improved Lyapunov–Krasovskii functionals that avoid calculating the derivative of the delay function, we obtain new delay-dependent sufficient conditions for guaranteeing the system to be regular, impulse-free and asymptotically stable. Then, based on the derived stability conditions, we design state feedback controllers and observer gains via LMIs, which can be solved numerically in standard computational algorithms. A numerical example with simulation is given to demonstrate the efficiency and validity of the proposed deign.

scholarly journals H∞Fault Detection for Linear Discrete Time-Varying Descriptor Systems with Missing Measurements

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Guangfu Deng ◽  
Huihong Zhao
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Descriptor Systems ◽  
Necessary Condition ◽  
Time Varying ◽  
Missing Measurements ◽  
Indefinite Quadratic Form ◽  
Indefinite Quadratic ◽  
Matrix Differential ◽  
Binary Switching

This paper deals with the problem ofH∞fault detection for a class of linear discrete time-varying descriptor systems with missing measurements, and the missing measurements are described by a Bernoulli random binary switching sequence. We first translate theH∞fault detection problem into an indefinite quadratic form problem. Then, a sufficient and necessary condition on the existence of the minimum is derived. Finally, an observer-basedH∞fault detection filter is obtained such that the minimum is positive and its parameter matrices are calculated recursively by solving a matrix differential equation. A numerical example is given to demonstrate the efficiency of the proposed method.

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