Stabilization and second-order optimization for multimodule impulsive switched linear systems
Corresponding Author
Zidong Ai
College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, China
Institute of Artificial Intelligence and Control, Qingdao University of Science and Technology, Qingdao, China
Zidong Ai, College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China; or Institute of Artificial Intelligence and Control, Qingdao University of Science and Technology, Qingdao 266061, China.
Email: [email protected]
Search for more papers by this authorLianghong Peng
School of Automation, Qingdao University, Qingdao, China
Search for more papers by this authorCorresponding Author
Zidong Ai
College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, China
Institute of Artificial Intelligence and Control, Qingdao University of Science and Technology, Qingdao, China
Zidong Ai, College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China; or Institute of Artificial Intelligence and Control, Qingdao University of Science and Technology, Qingdao 266061, China.
Email: [email protected]
Search for more papers by this authorLianghong Peng
School of Automation, Qingdao University, Qingdao, China
Search for more papers by this authorSummary
In this work, we investigate stabilization and optimization issues for a class of multimodule impulsive switched linear systems. First, we establish a necessary and sufficient criterion on asymptotic stabilizability via a pathwise state-feedback scheme, which achieves the merits of both time-driven and state-feedback mechanisms. Then, we present an impulse/switching instant optimization problem that usually arises in finite-horizon optimal control. To reduce the computational burden, we propose a novel method via developing efficiently computable expressions for the cost function, the gradient vector, and the Hessian matrix. Next, we design a second-order optimization algorithm searching for the optimal impulse/switching instants. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
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