Journal ArticleDOI
Robust control of a two-axis, magnetic suspension, flexible-beam system based on H∞ optimization theory
TLDR
In this paper, the authors used H∞ optimization theory for the controller design of a two-axis magnetic suspension, flexible-beam system, which is a simplified model for a flexible magnetic bearing system.Abstract:
This paper deals with how to use H∞ optimization theory for the controller design of a two-axis magnetic suspension, flexible-beam system, which is a simplified model for a flexible magnetic bearing system. Both simulation and experimental results show that the designed system not only has good performance in robustness to the plant's parametric uncertainty and the unmodelled dynamics in the beam's vibration modes, mode shapes, etc., but also has good performance in response characteristics.read more
Citations
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Journal ArticleDOI
H∞ Control of a Satellite Axis: Loop-Shaping, Controller Reduction and μ-Analysis
S. Le Ballois,Gilles Duc +1 more
TL;DR: In this article, the authors considered the control of one axis of the satellite SPOT4, which exhibits lightly damped modes with large uncertainties in their natural frequencies, and proposed a solution involving H ∞ synthesis with loop-shaping, modal reduction and μ-analysis of robustness.
Journal ArticleDOI
Optimal control of thermoelastic beam vibrations by piezoelectric actuation
Ibrahim Sadek,Marwan Abukhaled +1 more
TL;DR: In this article, the vibration suppression of a thermoelastic beam subject to sudden heat input by a single piezoelectric actuator is studied. And the solution method is based on a combination of modal expansion and variational approaches.
Journal ArticleDOI
Robust Control of a Spindle-Magnetic Bearing System Using Sliding-Mode Control and Variable Structure System Disturbance Observer
TL;DR: In this paper, the design and control of flexible rotor magnetic bearing systems using the discrete-time sliding-mode control method was investigated, where a variable structure system (VSS) disturbance observer, with which the state vector and disturbance can be estimated simultaneously, was investigated to compensate the mismatched disturbance load on the rotor.
Journal ArticleDOI
Robust control of the Sydney benchmark problem with intermittent adaptation
Tong Zhou,Hidenori Kimura +1 more
TL;DR: Simulation results show that for stress levels 1 and 2, a fixed robust controller can be designed to make the control system satisfy the prescribed specifications, while for stress level 3, an additional adaptive gain controller is also needed.
Journal ArticleDOI
Unfalsified plant model parameterization from closed-loop experimental data
TL;DR: Under the condition that the stabilizing controller is known, it is shown that all the unfalsified plant transfer functions can be parameterized by a linear fractional transformation of a fixed transfer-function matrix and an L ∞ -norm-bounded, structure-fixed but uncertain transfer- function matrix.
References
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Journal ArticleDOI
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
Journal ArticleDOI
Multivariable feedback design: Concepts for a classical/modern synthesis
John Doyle,Gunter Stein +1 more
TL;DR: This paper presents a practical design perspective on multivariable feedback control problems and generalizes known single-input, single-output (SISO) statements and constraints of the design problem to multiinput, multioutput (MIMO) cases.
Book
A Course in H∞ Control Theory
TL;DR: In this paper, the standard problem and performance bounds of model-matching theory are discussed. But the performance bounds are not defined. And they are not considered in this paper.
Journal ArticleDOI
State-space formulae for all stabilizing controllers that satisfy and H ∞ norm bound and relations to risk sensitivity
Keith Glover,John Doyle +1 more
TL;DR: In this paper, the relationship between robust and stochastic control is established, giving an equivalence between robust control and control with respect to the Riccati Equation (RCE).
Journal ArticleDOI
The LQG/LTR procedure for multivariable feedback control design
Gunter Stein,Michael Athans +1 more
TL;DR: In this paper, the authors provide a tutorial overview of the LQG/LTR design procedure for linear multivariable feedback systems, interpreted as the solution of a specific weighted H2-tradeoff between transfer functions in the frequency domain.
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