Abstract

Abstract The contribution presents decentralized adaptive approach to control of multi input-multi output (MIMO) continuous-time dynamic systems. The controlled plant is represented by two serially connected chemical reactors with a recycle. The dynamics of this system is described by fourteen state-space differential equations. The external model of the controlled plant as well as the control design are formulated in a delta operator form. The decentralization of a MIMO plant is performed in the matrix fraction description as a two input - two output system. Control loop consists of local and global control loops. The local controllers are adaptive ones obtained via Diophantine equations in delta polynomials. The global control strategy ensures asymptotic stability of the entire control system. The adaptive property is based on a recursive identification procedure.

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