Multi-sinusoidal disturbance rejection for discrete-time uncertain stable systems

Automatica ◽  
2017 ◽  
Vol 79 ◽  
pp. 144-151 ◽  
Author(s):  
Patrizio Tomei
Keyword(s):  
Discrete Time ◽  
Disturbance Rejection ◽  
Sinusoidal Disturbance

scholarly journals Robust Moving HorizonH∞Control of Discrete Time-Delayed Systems with Interval Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
F. Yıldız Tascikaraoglu ◽  
I. B. Kucukdemiral ◽  
J. Imura
Keyword(s):  
Discrete Time ◽  
Disturbance Rejection ◽  
Closed Loop ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Discrete Time System ◽  
Delayed Systems ◽  
State Delays ◽  
Delay Dependent

In this study, design of a delay-dependent type moving horizon state-feedback control (MHHC) is considered for a class of linear discrete-time system subject to time-varying state delays, norm-bounded uncertainties, and disturbances with bounded energies. The closed-loop robust stability and robust performance problems are considered to overcome the instability and poor disturbance rejection performance due to the existence of parametric uncertainties and time-delay appeared in the system dynamics. Utilizing a discrete-time Lyapunov-Krasovskii functional, some delay-dependent linear matrix inequality (LMI) based conditions are provided. It is shown that if one can find a feasible solution set for these LMI conditions iteratively at each step of run-time, then we can construct a control law which guarantees the closed-loop asymptotic stability, maximum disturbance rejection performance, and closed-loop dissipativity in view of the actuator limitations. Two numerical examples with simulations on a nominal and uncertain discrete-time, time-delayed systems, are presented at the end, in order to demonstrate the efficiency of the proposed method.

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.

Disturbance Rejection for Discrete-Time Linear Systems with Time-Delays via Internal Model Principle

2014 ◽  
Vol 590 ◽  
pp. 478-481
Author(s):  
Shao Ting Ge ◽  
Zhi Min Liu ◽  
Xue Xia Gao ◽  
Mei Xing Wang ◽  
Yu Qing Feng
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Disturbance Rejection ◽  
Delay System ◽  
Time Delay System ◽  
State Delay ◽  
Internal Model Principle ◽  
Disturbance Rejection Control ◽  
And Control ◽  
Time Linear

The disturbance rejection problem for discrete-time linear systems with both state delay and control delay is considered. Using a model transformation, the time-delay system is transformed into a nondelayed system. The disturbance rejection control law is obtained by solving its optimal regulation problem.

Sign in / Sign up

Export Citation Format

Share Document