Live briefing
Everything about Root locus analysis
Stability criterion in control theory
In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a linear time-invariant (LTI) system change with variation of a certain system parameter, commonly a gain within a feedback system. This is a technique used as a stability criterion in the field of classical control theory developed by Walter R. Evans which can determine stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter . Evans also invented in 1948 an analog computer to compute root loci, called a "Spirule" ; it found wide use before the advent of digital computers. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Root locus analysisA 5-minute orientation
- Skim a recent paper: Multi-locus genome-wide association analysis for root and shoot traits at seedling stage in Ethiopian sorghum (Sorghum bicolor (L.) Moench) accessionsInfluential work since 2022
- Pick up a classic book: Signals and SystemsThe most-reprinted book on the subject
- Read the landmark paper: Root-locus approach to the stability analysis of interval matricesCited 31 times
- Go sideways: Closed-loop poleA closely related topic
- Go sideways: Nyquist stability criterionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Root-locus approach to the stability analysis of interval matrices
High order system analysis and design using the root locus method
Trends in the Stability Properties of CLSS Controllers: A Root-Locus Analysis
Quadratically Parameterized Root Locus Analysis
QVCO frequency stability analysis using time varying root locus
Root-Locus Analysis of Structural Coupling in Control Systems
Root-Locus Analysis of Electromagnetic Amplifiers
Catastrophe Predator-Prey Analysis with Root Locus
🆕 Influential since 2022
Multi-locus genome-wide association analysis for root and shoot traits at seedling stage in Ethiopian sorghum (Sorghum bicolor (L.) Moench) accessions
Compact Analysis of the Necessity of Padé Approximation for Delayed Continuous-time Models in LQR, H-Infinity and Root Locus Control Strategies
Ballbeam System Analysis and Design Based on Root Locus Correction and State Space Correction
Complex-root-locus-based analysis of high-frequency resonance in weak grid-connected DFIG wind turbines
Genetic analysis of a quantitative trait locus associated with resistance to the root-lesion nematode Pratylenchus neglectus in triticale
📚 Books worth reading
Signals and SystemsAlan V. Oppenheim, Alan S. Willsky · 1983
Cartesian meditationsEdmund Husserl, Dorion Cairns · 1960
Feedback control systems 5th EditionPhillips, Charles L., Charles L. Phillips · 1969
Modern control engineeringKatsuhiko Ogata · 2010
Linear control system analysis and designJohn Joachim D'Azzo · 1981
Principles of gene manipulation and genomicsS. B. Primrose · 2006
System dynamicsWilliam J. Palm · 2005
Plant-pathogen interactionsPamela C. Ronald · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Closed-loop pole In systems theory, closed-loop poles are the positions of the poles (or eigenvalues) of a closed-loop transfer function in the s-plane. The open-loop transfer…
- Nyquist stability criterion In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German…
- Pole–zero plot In mathematics, signal processing and control theory, a pole–zero plot is a graphical representation of a rational transfer function in the complex plane…
- Bode plot In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude…
- Lead–lag compensator A lead–lag compensator is a component in a control system that improves an undesirable frequency response in a feedback and control system. It is a fundamental…
- Phase margin In electronic amplifiers, the phase margin (PM) is the difference between the phase lag φ (< 0) and -180°, for an amplifier's output signal (relative to…
- Hall circles Hall circles (also known as M-circles and N-circles) are a graphical tool in control theory used to obtain values of a closed-loop transfer function from…
- Minimum phase In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable…