Decentralized robust stabilization for uncertain interconnected systems

Cheng Fa Cheng, Wen June Wang

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with the decentralized stabilization of an uncertain interconnected system by using local state feedback control. The considered interconnected system consists of several subsystems, each of which contains bounded uncertainties and structured interactions. A complete solution to the quadratically decentralized stabilization problem for this uncertain interconnected system is given. And it will be shown that the solution is equivalent to solve a set of algebraic Riccati equations containing some free parameters. Subsequently, the relationship between these robust stabilization problems and H control theory is explored.

Keywords

  • H control
  • Interconnected system
  • Quadratically decentralized stabilization
  • Riccati equation
  • Robust

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