Design and analysis of controllers for a double inverted pendulum

A physical control problem is studied with the H ∞ and the μ methodology. The issues of modeling, uncertainty modeling, performance specification, controller design, and laboratory implementation are discussed. The laboratory experiment is a double inverted pendulum placed on a cart. The limitations...

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Veröffentlicht in:ISA transactions 2005, Vol.44 (1), p.145-163
Hauptverfasser: Niemann, Henrik, Poulsen, Jesper Kildegaard
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description A physical control problem is studied with the H ∞ and the μ methodology. The issues of modeling, uncertainty modeling, performance specification, controller design, and laboratory implementation are discussed. The laboratory experiment is a double inverted pendulum placed on a cart. The limitations in the system with respect to performance are the limitation in the control signal and the limitation of the movement of the cart. It is shown how these performance limitations will effect the design of H ∞ and μ controllers for the system.
doi_str_mv 10.1016/S0019-0578(07)60051-2
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subjects Algorithms
Applied sciences
Computer science
control theory
systems
Computer-Aided Design
Control system analysis
Control system synthesis
Control theory. Systems
Controller implementation
Equipment Design
Equipment Failure Analysis
Exact sciences and technology
Feedback - physiology
Gait - physiology
H∞ controller design
Laboratory experiments
Locomotion - physiology
Modeling
Modelling and identification
Models, Biological
Motion
Robotics - instrumentation
Robotics - methods
Simulation
μ synthesis
title Design and analysis of controllers for a double inverted pendulum
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