On Polytopic Approximations of Systems with Time-Varying Input Delays

2009 ◽  
pp. 225-233 ◽  
Author(s):  
Rob Gielen ◽  
Sorin Olaru ◽  
Mircea Lazar
Keyword(s):  
Time Varying ◽  
Input Delays

Decentralized MRAC for Large-Scale Interconnected Systems With State and Input Delays by Integrators Inclusion

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
Seyed Hamid Hashemipour ◽  
Nastaran Vasegh ◽  
Ali Khaki Sedigh
Keyword(s):  
Large Scale ◽  
Practical Method ◽  
Open Loop ◽  
Loop System ◽  
Input Delay ◽  
Time Varying ◽  
Delay Compensation ◽  
State And Input Delays ◽  
Input Delays ◽  
Model Reference Adaptive

This paper investigates the problem of decentralized model reference adaptive control (MRAC) for a class of large-scale systems with time-varying delays in the interconnected terms and state and input delays. The upper bounds of interconnection terms with time-varying delays and external disturbances are assumed to be completely unknown. By integrators inclusion, a dynamic input delay compensator is established for input delay compensation and it is used as a practical method for state calculation x(t + R). Also, a method is presented for a class of decentralized feedback controllers, which can evolve the closed-loop system error uniformly bounded stable. As a numerical example, the proposed technique is applied to an unstable open-loop system to show the feasibility and effectiveness of the method.

Leader-Following Consensus Control of General Linear Multi-Agent Systems With Diverse Time-Varying Input Delays

2017 ◽  
Vol 140 (6) ◽  
Author(s):  
Chengzhi Yuan
Keyword(s):  
Single Agent ◽  
General Linear ◽  
Control Synthesis ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Consensus Control ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Input Delays

This paper addresses the problem of leader-following consensus control of general linear multi-agent systems (MASs) with diverse time-varying input delays under the integral quadratic constraint (IQC) framework. A novel exact-memory distributed output-feedback delay controller structure is proposed, which utilizes not only relative estimation state information from neighboring agents but also local real-time information of time delays and the associated dynamic IQC-induced states from the agent itself for feedback control. As a result, the distributed consensus problem can be decomposed into H∞ stabilization subproblems for a set of independent linear fractional transformation (LFT) systems, whose dimensions are equal to that of a single agent plant plus the associated local IQC dynamics. New delay control synthesis conditions for each subproblem are fully characterized as linear matrix inequalities (LMIs). A numerical example is used to demonstrate the proposed approach.

Optimal control of LQR for discrete time-varying systems with input delays

2018 ◽  
Vol 49 (5) ◽  
pp. 1021-1031
Author(s):  
Yue-Zhu Yin ◽  
Zhong-Lian Yang ◽  
Zhi-Xiang Yin ◽  
Feng Xu
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Time Varying ◽  
Time Varying Systems ◽  
Input Delays
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