Construction of a robust adaptive regulator for time-varying discrete time systems

1993 ◽  
Vol 7 (1) ◽  
pp. 1-12 ◽  
Author(s):  
A. Jerbi ◽  
E. W. Kamen ◽  
J. F. Dorsey
Keyword(s):  
Discrete Time ◽  
Time Varying ◽  
Discrete Time Systems ◽  
Robust Adaptive ◽  
Adaptive Regulator ◽  
Time Systems

Adaptive Sinusoidal Disturbance Rejection in Linear Discrete-Time Systems—Part I: Theory

1999 ◽  
Vol 121 (4) ◽  
pp. 648-654 ◽  
Author(s):  
Foued Ben Amara ◽  
Pierre T. Kabamba ◽  
A. Galip Ulsoy
Keyword(s):  
Discrete Time ◽  
Disturbance Rejection ◽  
Companion Paper ◽  
Time Varying ◽  
Stabilizing Controllers ◽  
Discrete Time Systems ◽  
On Line ◽  
Adaptive Regulator ◽  
Regulation Approach ◽  
Time Systems

An adaptive regulation approach against disturbances consisting of linear combinations of sinusoids with unknown and/or time varying amplitudes, frequencies, and phases for SISO LTI discrete-time systems is considered. The new regulation approach proposed is based on constructing a set of stabilizing controllers using the Youla parametrization of stabilizing controllers and adjusting the Youla parameter to achieve asymptotic disturbance rejection. Three adaptive regulator design algorithms are presented and their convergence properties analyzed. Conditions under which the on-line algorithms yield an asymptotic controller that achieves regulation are presented. Conditions both for the case where the disturbance input properties are constant but unknown and for the case where they are unknown and time varying are given. In the case of error feedback, the on-line controller construction amounts to an adaptive implementation of the Internal Model Principle. The performance of the adaptation algorithms is illustrated through a simulation example. A companion paper [4] describes the implementation and evaluation of the algorithms for the problem of noise cancellation in an acoustic duct.

scholarly journals Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Jiemei Zhao ◽  
Yin Sheng
Keyword(s):  
Discrete Time ◽  
Reachable Set ◽  
Time Varying ◽  
Time Varying Delay ◽  
Set Estimation ◽  
Discrete Time Systems ◽  
Bounded Disturbances ◽  
Reachable Set Estimation ◽  
Time Systems ◽  
Varying Delay

The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example.

Sign in / Sign up

Export Citation Format

Share Document