μ-interaction measure for unstable systems

• Main Authors: Kariwala, Vinay, Forbes, J. Fraser, Skogestad, Sigurd
• Other Authors: School of Chemical and Biomedical Engineering
• Format: Conference or Workshop Item
• Language: English
• Published: 2009
• Subjects: DRNTU::Engineering::Chemical engineering; DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
• Online Access: https://hdl.handle.net/10356/91374; http://hdl.handle.net/10220/4620
• Institution: Nanyang Technological University

The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designed based on a block diagonal approximation that is different from the block diagonal elements and is selected by minimizing the scaled L∞ distance between the system and the approximation. We also present a simple method for designing the decentralized controller based on the approximation. The proposed method is useful for system stabilization using independent designs of the decentralized controller.