Decoupling and disturbance rejection control of linear time-varying time-delay systems

1981 ◽  
Vol 34 (4) ◽  
pp. 781-800 ◽  
Author(s):  
E. NAKANISHI ◽  
K. NANBARA
Keyword(s):  
Time Delay ◽  
Disturbance Rejection ◽  
Linear Time ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Disturbance Rejection Control ◽  
Varying Time Delay

Finite-Time Stabilization for Singular Linear Time-Delay Systems with Time-Varying Exogenous Disturbance

2012 ◽  
Vol 490-495 ◽  
pp. 2459-2463 ◽  
Author(s):  
Min Su ◽  
Shu Wei Wang ◽  
Xian Zhang
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Linear Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Delay Systems ◽  
Exogenous Disturbance ◽  
Exogenous Disturbances ◽  
Finite Time Stabilization

In this paper finite-time stabilization for singular linear time-delay systems with time-varying exogenous disturbances is defined. By combining Lyapunov approach and matrix inequality technique, a sufficient condition of the finite-time stabilization for this kind of systems is presented by a set of feasible problems involving linear matrix inequalities (LMIs) with nonlinear constraints. In addition, the nonlinear feasible problems are solved by an so-called cone complementary linearization (CCL) algorithm. The effectiveness of the approach proposed in this paper is presented by a numerical example.

Symbolic models for time-varying time-delay systems via alternating approximate bisimulation

2014 ◽  
Vol 25 (14) ◽  
pp. 2328-2347 ◽  
Author(s):  
Giordano Pola ◽  
Pierdomenico Pepe ◽  
Maria Domenica Di Benedetto
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Varying Time Delay

Auto Disturbance Rejection Control for Nonlinear Time-Delay Systems

2013 ◽  
Vol 278-280 ◽  
pp. 1547-1550
Author(s):  
Quan Cheng Gong ◽  
Ya Feng Wu
Keyword(s):  
Time Delay ◽  
Pid Control ◽  
Disturbance Rejection ◽  
Delay Systems ◽  
Water Tank ◽  
Control Technology ◽  
Time Delay Systems ◽  
Static Error ◽  
Disturbance Rejection Control ◽  
Nonlinear Object

For some nonlinear complex control objects, conventional PID control is not able to obtain satisfactory control characteristics because of its inherent defaults. As a new controller based on PID control technology, auto disturbances rejection control(ADRC) breaks through the limitation of the former technology, at the same time maintains its advantages. In this paper, these two methods are used for nonlinear object −−two-step water tank respectively. Simulation and application results prove that ADRC controller works with better adaptability and robustness when controlling the nonlinear time-delay object, and is easier to achieve the control of no-overshoot and no-static-error.

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