This is the third part of four series papers, aiming at the delay compensation for the abstract linear system (A,B,C). Both the input delay and output delay are investigated. We first propose a full state feedback control to stabilize the system (A,B) with input delay and then design a Luenberger-like observer for the system (A,C) in terms of the delayed output. We formulate the delay compensation in the framework of regular linear systems. The developed approach builds upon an upper-block-triangle transform that is associated with a Sylvester operator equation. It is found that the controllability/observability map of system (-A,B)/(-A,-C) happens to be the solution of the corresponding Sylvester equation. As an immediate consequence, both the feedback law and the state observer can be expressed explicitly in the operator form. The exponential stability of the resulting closed-loop system and the exponential convergence of the observation error are established without using the Lyapunov functional approach. The theoretical results are validated through the delay compensation for a benchmark one-dimensional wave equation.
Use of Robust DOB/CDOB Compensation to Improve Autonomous Vehicle Path Following Performance in the Presence of Model Uncertainty, CAN Bus Delays and External Disturbances
When classical predictors fail: an exact network outflowpredictor for heterogeneous multi-agent systems with communication delays
College of Control Science and Engineering, State Key Laboratory of Industrial Control Technology, Zhejiang University（浙江大学控制科学与工程学院工业控制技术国家重点实验室）；Department of Mechanical and Aerospace Engineering, University of California, San Diego（加州大学圣地亚哥分校机械与航空航天工程系）；Ningbo Innovation Center, Zhejiang University（浙江大学宁波创新学院）
On Delay-robustness of Extremum Seeking of Nonlinear Static Maps with Small Disturbance
School of Information and Control Engineering, Southwest University of Science and Technology（西南科技大学信息与控制工程学院）；College of Control Science and Engineering, Zhejiang University（浙江大学控制科学与工程学院）
Cooperative Switched Formation Control of Autonomous Vehicles: An Event-triggered Approach to Input Saturation and Time-delay Challenges
The Hong Kong University of Science and Technology (Guangzhou)（香港科技大学（广州））；The Hong Kong University of Science and Technology（香港科技大学）；KTH Royal Institute of Technology（皇家理工学院）
