On the equivalence between stable inversion for nonminimum phase systems and reciprocal transfer functions defined by the two-sided Laplace transform

DOI10.1016/J.AUTOMATICA.2009.10.008zbMath1214.93047OpenAlexW1972493494MaRDI QIDQ985273

Takuya Sogo

Publication date: 20 July 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.10.008

zbMATH Keywords

inverse systemnon-minimum phase systemsflexible armsfeedforward compensatinginverse transfer function

Mathematics Subject Classification ID

System identification (93B30) Design techniques (robust design, computer-aided design, etc.) (93B51) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Iterative learning control for deterministic systems
• Method for identification of dynamic systems with delays
• Stable inversion for nonlinear systems
• Optimal noncausal set-point regulation of scalar systems
• Using stable input--output inversion for minimum-time feedforward constrained regulation of scalar systems
• On the design of robust two degree of freedom controllers
• Inversion of sampled-data system approximates the continuous-time counterpart in a noncausal framework
• A new approach to inversion-based feedforward control design for nonlinear systems
• Noncausal inverses for linear systems
• Nonlinear inversion-based output tracking
• Stable inversion of continuous-time nonlinear systems by finite-difference methods

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