Decentralized stabilization of Markovian jump interconnected systems with unknown interconnections and measurement errors
Li-Wei Li
College of Information Science and Engineering, Northeastern University, Shenyang, China
Search for more papers by this authorCorresponding Author
Guang-Hong Yang
College of Information Science and Engineering, Northeastern University, Shenyang, China
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China
Correspondence
Guang-Hong Yang, College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004, China.
Email: [email protected]
Search for more papers by this authorLi-Wei Li
College of Information Science and Engineering, Northeastern University, Shenyang, China
Search for more papers by this authorCorresponding Author
Guang-Hong Yang
College of Information Science and Engineering, Northeastern University, Shenyang, China
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China
Correspondence
Guang-Hong Yang, College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004, China.
Email: [email protected]
Search for more papers by this authorSummary
This paper investigates the decentralized output feedback control problem for Markovian jump interconnected systems with unknown interconnections and measurement errors. Different from some existing results, the global operation modes of all subsystems are not required to be completely accessible for the decentralized control system. A decentralized dynamic output feedback controller is constructed using neighboring mode information and local outputs, where the measurement errors between actual and measured outputs are considered. Subsequently, a new design method is developed such that the resultant closed-loop system is stochastically stable and satisfying an L∞-norm constraint. Sufficient conditions are formulated by linear matrix inequalities, and the controller gains are characterized in terms of the solution of a convex optimization problem. Finally, an example is given to illustrate the effectiveness of the proposed theoretical results.
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