Skip to content
  • About Me
  • Contact
  • Blog
  • Engineering Notes
  • About Me
  • Contact
  • Blog
  • Engineering Notes

Knowledge Base

  • Engineering Notes
  • Control Theory
  • Stability of Gain Schedules

Stability of Gain Schedules

3 June 12, 2024

The gain schedule is stable if the region of attraction associated with each linearization is larger than the scheduled operating region for each operating point.

Sources

  • “Chapter 5.1.3 – Gain Scheduling | GlobalSpec.” Accessed: May 21, 2023. [Online]. Available: https://www.globalspec.com/reference/21382/160210/chapter-5-1-3-gain-scheduling

Backlinks

Gain Scheduling

  • Marine Engineering
    • Submarine Speed
    • Pump Jet
    • AIP vs Nuclear Submarines
    • MK 48 MOD 6AT
    • Mk 48 MOD 4
    • MK 48 ADCAP
    • French Navy
    • Submarine Drag Model
  • Nuclear Engineering
    • K-278 Kosmolets
    • TRAP-MELT
    • USS Nautilus SSN-571
    • Nuclear-Powered Submarines
    • Reactor Dead Time
    • High Enriched Uranium
    • Nuclear Reactor Instability
    • Neutron Poison
    • Radiation Damage in Materials
    • Chernobyl Disaster
    • Radionuclide Inventory
    • Liquid Metal Reactors
    • S1G Reactor
    • Mean Neutron Generation Time
    • Nuclear Cross-Section
    • Reactor Dynamics
    • Pressurized Water Reactors
    • Nuclear Reactor
    • Nuclear Power Generation
    • Delayed Fission Neutrons
    • Nuclear Reactor Load Rejection Test
    • Asco Reactor Thermal Hydraulic Model
    • Challenges of Nuclear Thermal Rockets
    • Thermal Conductivity in Radial Fuel Rod Gap
    • Energy Balance Equations for the Thermal Hydraulic Reactor Model
    • Fuel Rod Thermal Model
    • Reactor Control System Model
    • Submarine Reactors
    • Submarine Reactor Thermal Model
    • Reactor Kinetics
    • PARCS
    • Boltzmann Transport Equation
    • Enhanced Piecewise Constant Approximation
    • Fission Products
    • Nuclear Reactor Reactivity
    • Power Series Solution
    • Piecewise Constant Approximation
    • New Analytical Method
    • ITS2 Method
    • ADM8
    • Fick's Law
    • Doppler Effect of Thermal Reactors
    • Ramp Reactivity Insertions
    • Point Kinetics Decomposition Method
    • RELAP5
    • RELAP-7
    • Point Kinetics Reactivity
    • Delayed Neutron Precursor
    • Single flow Channel Reactor Core Model
    • Exponential Matrix Technique
    • Point Reactor Kinetics with Startup Source
    • TRACE
    • Thermal Hydraulic Reactor Model
    • TRIGA MK 2 Neutronics Model
    • Convergent Accelerated Taylor Series
    • Nuclear Submarine Model
    • Point Reactor Kinetics Model
  • Aerospace Engineering
    • Su-37 Flight Control System
    • Ballute
    • Tornado GR4
    • Legacy Hornet Flight Control System
    • F-14 ARI Control System B
    • X-47A Pegasus UCAV
    • Weathercock Stability
    • F-16 Longitudinal State-Space Model
    • Oblique Wing Aircraft
    • F-35 Lateral Stability
    • Shuttle Solid Rocket Booster
    • B-1 Roll Control Channel
    • YF-23 Control Surfaces
    • F-16 Flight Control System
    • JAS-39 Longitudinal Control Laws
    • B-2 Aerodynamics
    • F-22 Initial Short-Period Mode Specifications
    • F-22 Flight Control System
    • T-2 Buckeye
    • F-106 Flight Control System
    • F-16 ISA Redundancy
    • RASCAL Advanced Control Laws
    • ADS-33E
    • GPS Space Segment
    • Kutta-Joukowski Theory
    • F-117 PAARS
    • YF-12A
    • CH-53 Pilot-Structural Coupling Accidents
    • B-2 Development
    • Advanced Mechanical Control System
    • Panavia Tornado Taileron Acceleration Limits
    • JAS-39 Airshow Crash
    • MQ-1 Landing PIO
    • Roll Ratchet
    • F-18 Legacy Hornet
    • BP6.11
    • DIGITAC
    • F-14 ARI Control System C
    • HQDT Test
    • LAHOS Study
    • F-117 PIO
    • F-14 Aerodynamics
    • Variable Sweep Wing
    • F-14 Flight Control System
    • F-4 Phantom
    • Aircraft Trim
    • F-117 Aerodynamics
    • Have Blue
    • F-14 Glove Vane
    • F-14 Wing Pivot Selection
    • F-14 Automatic Wing Sweep
    • Spoilers
    • F-14 Direct Lift Control
    • F-111C
    • F-14 Wing
    • Ground Vibration Tests
    • X-43 Longitudinal Controller
    • X-29 Air Data Sensors
    • X-29 Lateral Directional Control System
    • F-16 Aileron-Rudder-Interconnect Gain Schedule
    • BP4.15
    • BP4.9
    • BP4.2
    • Mod BP2.7
    • MCLAWS-2 Gain Set
    • Supercruise
    • Su-35
    • T-50-2
    • T-50-1
    • T-50-7
    • T-50-5
    • T-50-8
    • T-50-6-2
    • T-50-9
    • AL-41F-1 Engines
    • Ostrota Missile
    • Su-57 Sensor Suite
    • Su-57
    • CADC
    • OGLI Software Partitions
    • Super Hornet History
    • NATF Program
    • Dynamic Pressure Feedback
    • Eurofighter Roll Axis Feedback Loops
    • Eurofighter Yaw Axis Feedback Loops
    • IRS-T
    • Eurofighter Flight Control System
    • F-22 Lateral Directional Flight Control System
    • Gain Scheduling a Pitch Controller
    • EAP FCS
    • VLAT Program
    • VAAC H-Infinity Loop Shaping
    • VAAC Control Strategies
    • F-35 EOTS
    • F-35 IAS
    • F-22 Raptor
    • F-16 Block 60
    • Air-Data Sensors
    • F-18 Flight Software Versions
    • Legacy Hornet Controlled Flight Issues
    • f18bas
    • F-18 OFP v10.5.1
    • ADM-160 MALD
    • MALD Construction
    • OH-58C Main Gearbox
    • AH-64 Gearbox
    • Ka-32 Gearbox
    • Mi-24 Transmission
    • Helicopter Gearbox Failure
    • MFA Testing
    • Stitched Learjet-25D model
    • XQ-58A Valkyrie
    • Disadvantages of DFBW
    • Angle of Attack Sensors
    • 2 Body Problem
    • Kollsman MD-1
    • CFD Grid Fin Simulation
    • Standard Missile
    • MIL-F-8785C
    • Gas Path Dynamics
    • BP5.1
    • MCLAWS Simulink Model
    • RASCAL Forward Path Delays
    • Servo Transparency
    • Force Generated by a Propeller
    • Eurofighter Control Law Control Surface and Integration Location
    • Oblique Wing Aircraft Moment Equations
    • JDAM Baseline Guidance System
    • Equivalent Reduced Wing Structure
    • Gyroplane Model
    • LQR Controller
    • Rotorcraft System Identification
    • F-15 Active Lateral Directional Model
    • Wing Rock in Fighter Aircraft
    • 4DoF Dynamic Lateral Aircraft Model
    • Missile Longitudinal Dynamics
    • Disadvantages of PWPF Modulators
    • Eurofighter Flight Control Laws
    • Gyroplane Rotor
    • HL-10 Hydraulic System
    • PWPF Modulators
    • Artificial Feel Systems
    • X-29 Flight Control System
    • half-p Hop
    • F-4C Longitudinal Dynamics
    • F-16 VISTA (X-62)
    • Eurofighter Roll Command Path
    • F-16 PIO taxi-test
    • Type 2 PIO
    • Speed Stability
    • HL-10 Limit Cycle Tests
    • High AOA Wing Rock
    • F-15 Active Flight Control System
    • J-35 Draken PIO Tendencies
    • M2F2 accident
    • Phase Lag
    • Space Shuttle PIO
    • C-17 PIO
    • Sidestick Controller
    • F-4 Phantom PIO Accident
    • F-8 DFBW PIO
    • F-22 PIO
    • SAAB Gripen PIO
    • SAAB Gripen
    • History of Digital Fly-By-Wire
    • Pilot-Induced Oscillations
    • Flying Wing
    • X-31A Lateral Directional Control Laws
    • Helicopter Rotor Blade Design
    • BO-105 Dynamic Model
    • Predictor-Corrector Landing Algorithms
    • Wing Rock
    • VPM M16 Tandem
    • MFA Control Law
    • OGLI Simulation Program
    • Disadvantages of Dynamic Inversion Controllers
    • YB-39
    • Flying Wing
    • Westland-Hill Pterodactyl V
    • B-21 Raider
    • B-2 Spirit
    • Hang Glider Aerodynamics
    • A-12 Avenger 2
  • Control Theory
    • Forward Euler
    • Range Bearing Tracking Problem
    • Z-Transform Method
    • Simulink
    • Dynamic Inversion Control Law Structure
    • 5DoF simulations
    • Phase Margin
    • Digital Low-Pass Filter
    • Impulse Response
    • Damping Curve Charts
    • Pressure Ventilator Controller
    • Failure Detection
    • Advantages of DPIA Controllers
    • Advantages of Dynamic Inversion Controllers
    • Transient-Free Switch
    • Disadvantages of Gain Scheduling
    • Stability of Gain Schedules
    • Gain Scheduling
    • Unit Delay in Z Domain
    • Limit Cycles
    • Downside of Bang-Bang Control Systems
    • Deadband Control
    • Control System Sensitivity
    • Discrete Impulse Signal
    • EQS
    • Dominant Mode Approximation
    • Lumped Parameter Model
    • Integral Quadratic Constraint methodology
    • Second-Order Continuous System with Time Delay
    • Rate Saturation Equations
    • State Space Model with Time Delay
    • Steady State Transfer Function Matrix
    • Lead-Lag Compensator to State-Space
    • State-Space Model with Sensor Bias
    • State-Space Regulators
    • State-Space Averaging
    • Disadvantages of the State-Space Model
    • Modal Form
    • Model-predictive Control
    • LQR-PI Controller
    • Kalman Filter
    • State-Space Closed-Loop Control
    • Wing Rock Adaptive Controller
    • Transfer Function of a State-Space System
    • Equations for Dynamic Inversion Control
    • Process and Measurement Noise
    • State Observer Error Equation
    • State-Space Simulation
    • MIMO State-Space Models
    • Converting Transfer Function to State-Space Model
    • Static Gain State-Space Model
    • State Variables
    • Transfer function of an Integrator
    • Stability Regions of Runge-Kutta Methods
    • Poles of a System
    • Root-Locus Plot of PI Pitch Rate Tracking Controller
    • Discrete State-Space Estimator
    • Testing State-Space Estimators
    • State-Space Control System with Estimator
    • Separation Principle
    • Eigenvalues of State-Space System
    • Matlab Pole Placement
    • Bandwidth
    • Discrete Integration
    • Discrete Systems
    • Discrete-Time State-Space Model
    • Eigenvalue
    • Observability
    • Reduced Order Models
    • State Estimation Algorithms
    • State Feedback
    • State-Space Model
    • State-Space Estimators
  • Electrical Engineering
    • Resistor LED Driving Example
    • Shunt vs Series LED Driver
    • X72 Pinout
    • CAE MAD-XR
    • TTL Technology
    • Pseudo-Range Noise
    • IIR Filters
    • Advantages of IIR filters
    • Solar Panel Simulations
    • FIR Filter Design Choices
    • Symmetricon X72
    • Built-in Self Test
    • Optical Fiber
    • Infrared Radiation
    • Fiber Optic Laser Diode Coupling
    • Fiber Optic Networks
    • S-Domain Low Pass Filter
    • FIR Filters
    • Digital Filters
    • Cell Balancing
    • Phasor Diagram of an Inductor
    • Phasor Diagram of a Capacitor
    • Hotel Loads
    • Submarine Energy Storage System
    • MMC Motor Propulsion System Model
    • Generator and Converter Model
    • David Conn
    • State-Space Circuit Model
    • Dual Active Bridge Converter
    • PSS Phase Compensation Network
    • Current Management in Motor Drivers
    • Iterative Reconstruction
    • Hysteresis-Modulation Technique
    • Battery Management System
  • Linear Algebra
    • Ordinary Differential Equations
    • Singular Value Decomposition
    • Convergence Factor
    • H-alpha decomposition
    • Eigenvalues of a Circular Vector Field
    • Stiffness Ratio
    • Limit Points
    • Monodromy Matrix
    • Disadvantages of the Power Method
    • Modal Participation Analysis
    • Linear Differential Matrix Equations
    • Covariance Matrices
    • General Eigenvalue Problem
    • Fibonacci Sequence
    • Rotation Matrix
  • Computer Science
    • Memory Managers
    • Systems That Runge-Kutta Integrators Handle Poorly
    • Tower of Hanoi
    • Implicit Integration Methods
    • Matlab minreal()
    • Nonlinear Simulation Methods
    • Numerical Integration Methods
    • Variational Quantum Eigensolver
  • Physics
    • Spring Mass Damper System
    • Rotating Cube Model
    • Hamiltonian
  • Biology
    • Bicoid Exponential Gradient
    • Bicoid
    • DNA
    • Neurons
    • Metabolic Parameter Estimation
  • Mechanical Engineering
    • HX50 Main Rotor Gearbox
    • Titanium
    • Modal Assurance Criterion
    • Effective Independence Method
    • Composite Materials
    • Single Circular Arc Gear
    • Ravigneaux Gear Train
    • BEV Transmission
    • Planetary Gearbox
    • Process Time Constant
    • Moment of Inertia
    • Turbo-Set Steam Turbine and Governor Model
    • U-tube Steam Generator Model
    • Hot Leg and Cold Leg Temperature Model
    • Python State-Space Spring Mass Damper System
    • State-Space Model of a Pendulum
    • Laplace Transform of a State-Space Model
    • Capacitive Accelerometer State-Space Model
    • Piezoelectric Accelerometer State-Space Model
    • General General Accelerometer State-Space Model
    • General Accelerometer State-Space Model
    • State-Space Bicycle Vehicle Model
    • Adding Damping to a Simple Harmonic Oscillator

Keep In Touch

Twitter Linkedin-in

Features

  • Soon to Come

Get Started

  • Docs

About

  • Blog