2-D Analysis Based ILC for Linear Time-Variant Discrete Systems with Multiple Time Delays
نویسنده
چکیده
This paper presents Two-Dimensional (2-D) system analysis based Iterative Learning Control (ILC) methods for Linear Time-Variant (LTV) discrete systems with multiple time delays. Both the state delays and the input delays are considered in the ILC design. The ILC research strategy for LTV discrete systems with multiple time delays is to rescontruct the derived ILC error equations into the 2-D Roessor’s model, so that the convergence conditions for the proposed ILC rules can be derived according to the convergence property of the 2-D Roessor’s model. A numerical example is used to validate the effectiveness of the proposed ILC methods.
منابع مشابه
Iterative learning control for linear time-variant discrete systems based on 2-D system theory - Control Theory and Applications, IEE Proceedings-
The two-dimensional (2-D) system theory iterative learning control (ILC) techniques for linear time-invariant discrete systems are extended to the cases of linear time-variant discrete systems. By exploiting the convergent property of 2-D linear time-variant discrete systems with only one independent variable, a kind of 2-D system theory ILC approach is presented for linear time-variant discret...
متن کاملAdmissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model
This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...
متن کاملDelay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems
In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...
متن کاملEigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملExponential Stability of Linear Systems with Multiple Time Delays
In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...
متن کامل