Stabilization of time-delay nonlinear discrete-time systems with saturating actuators through T-S models

2014 ◽  
Vol 47 (3) ◽  
pp. 11000-11005 ◽  
Author(s):  
Luís F.P. Silva ◽  
Valter J.S. Leite ◽  
Eugênio B. Castelan ◽  
Gang Feng
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Saturating Actuators ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Approximate Design of Optimal Disturbance Rejection for Discrete-Time Systems with Multiple Delayed Inputs: Application to a Jacket-Type Offshore Structure

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Shi-Yuan Han ◽  
Dong Wang ◽  
Yue-Hui Chen ◽  
Gong-You Tang ◽  
Xi-Xin Yang
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Performance Index ◽  
Disturbance Rejection ◽  
Offshore Structure ◽  
Approximate Design ◽  
Free System ◽  
Discrete Time Systems ◽  
Stein Equation ◽  
Time Systems

The study is concerned with problem of optimal disturbance rejection for a class of discrete-time systems with multiple delayed inputs. In order to avoid the two-point boundary value (TPBV) problem with items of time-delay and time-advance caused by multiple delayed inputs, the discrete-time system with multiple delayed inputs is transformed into a delay-free system by introducing a variable transformation, and the original performance index is reformulated as a corresponding form without the explicit appearance of time-delay items. Then, the approximate optimal disturbance rejection controller (AODRC) is derived from Riccati equation and Stein equation based on the reduced system and reformulated performance index, which is combined with feedback item of system state, feedforward item of disturbances, and items of delayed inputs. Also, the existence and uniqueness of AODRC are proved, and the stability of the closed-loop system is analysed. Finally, numerical examples of disturbance rejection for jacket-type offshore structure and pure mathematical model are illustrated to validate the feasibility and effectiveness of the proposed approach.

Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
Hui Zhang ◽  
Yang Shi
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Time Varying ◽  
Design Algorithm ◽  
Time Varying Delay ◽  
Discrete Time Systems ◽  
Measured Time ◽  
Sampling Instant ◽  
Delay Dependent ◽  
Time Systems

In this paper, we investigate the stabilization problem of time-delay discrete-time systems with occurrence probabilities for time delays. Using an augmenting technique, we convert random time-delay discrete-time systems to delay-free systems with stochastic variables. We propose to design a sequence of delay-dependent controllers. The implemented controller is chosen according to the measured time delay at each sampling instant. When the delay is randomly time-varying, the implemented controller is switched in a designed controller set. An example is provided to illustrate the effectiveness of the stability condition and another example is offered to show the applicability of the proposed design algorithm.

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