Unified \infty Control to Suppress Vertices of Plant Input and Output Sensitivity Functions

This note presents a discrete-time H ∞ controller to attenuate effects of external disturbances introduced from both plant input and plant output. In this note, two stage control structure is constructed so that state variable dependent conventional controllers and H ∞ loop shaping controllers are s...

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Bibliographic Details
Published in:IEEE transactions on control systems technology 2010-07, Vol.18 (4), p.969-975
Main Author: Suh, Sang Min
Format: Article
Language:English
Subjects:
Closed loop systems
Control systems
Design methodology
Frequency
Hard disk drives
Kalman inequality
linear matrix inequalities (LMIs)
loop shaping
Nyquist plot
Open loop systems
sensitivity peak
Shape control
Stability
State estimation
State feedback
Transfer functions
{\mathscr H}_{\infty} control
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Summary:This note presents a discrete-time H ∞ controller to attenuate effects of external disturbances introduced from both plant input and plant output. In this note, two stage control structure is constructed so that state variable dependent conventional controllers and H ∞ loop shaping controllers are simultaneously utilized, which is a different approach from previous methods. For the loop shaping controller, a new weighting function derived from an open loop transfer function of fictitious state-feedback systems is proposed. Since the weighting function inherits implicit stability margins, sufficiently stable closed loop systems are designed, therefore well damped transient responses are achieved.
ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2009.2030172