Passivity Conditions for Linear 2x2 Multivariable Systems based on a Classical Control Framework of Analysis and Design
Prof. Jesus Ulises Liceaga Castro
Universidad Autónoma Metropolitana (UAM), Mexico
Abstract: A passivation control design procedure for linear time invariant continuous systems is proposed. It is shown that individual channel analysis and design (ICAD) is an effective framework for the design of multivariable passive control systems. The results presented are valid for the general m × m case but for the sake of clarity two-input-two-output systems are considered. It is demonstrated that passivation can be achieved by: pre or post compensation, feed-forward, and feedback. The influence of the non-diagonal elements of the transfer matrix on the design of MIMO passive systems is clearly established. This fact is demonstrated through the Multivariable Passive Function here introduced. A set of examples has been specially devised to show in detail the design procedure.
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