Everything about H-infinity loop-shaping
H-infinity loop-shaping is a design methodology in modern control theory. It combines the traditional intuition of classical control methods, such as Bode's sensitivity integral, with H-infinity optimization techniques to achieve controllers whose stability and performance properties hold despite bounded differences between the nominal plant assumed in design and the true plant encountered in practice. Essentially, the control system designer describes the desired responsiveness and noise-suppression properties by weighting the plant transfer function in the frequency domain; the resulting 'loop-shape' is then 'robustified' through optimization. Robustification usually has little effect at high and low frequencies, but the response around unity-gain crossover is adjusted to maximise the system's stability margins. H-infinity loop-shaping can be applied to multiple-input multiple-output (MIMO) systems. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: H-infinity loop-shapingA 5-minute orientation
- Skim a recent paper: Robust Feedforward and Feedback Control Integration Using H-Infinity Loop Shaping for Electrified Vehicle PowertrainsInfluential work since 2022
- Pick up a classic book: Robust Control Design with MATLAB®The most-reprinted book on the subject
- Read the landmark paper: A loop-shaping design procedure using H/sub infinity / synthesisCited 912 times
- Go sideways: Robust controlA closely related topic
- Go sideways: Gap metricA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
No outline available.
🏆 Landmark papers (most cited)
A loop-shaping design procedure using H/sub infinity / synthesis
Fault diagnosis and accommodation of nonlinear systems based on multiple-model adaptive unscented Kalman filter and switched MPC and H-infinity loop-shaping controller
H-Infinity Loop-Shaping Controller for Load Frequency Control of a Deregulated Power System
A tutorial on loop shaping using H-infinity robust stabilisation
Control of a Flexible Transmission – A Discrete Time H-Infinity Loop Shaping Approach
H‐infinity loop shaping control of wireless power transfer system based on generalized state space averaging model
A Tutorial on Loop Shaping using H-Infinity Robust Stabilization
Synthesis of optimal H-infinity controllers via H2-based loop-shaping design
🆕 Influential since 2022
📚 Books worth reading
Robust Control Design with MATLAB®Da-Wei Gu · 2005
Uncertainty and feedbackGlenn Vinnicombe · 2000- 📕Commercial Satellite Launch Vehicle Attitude Control Systems Design and Analysis (H-infinity, Loop Shaping, and Coprime Approach)Chong Hun Kim · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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