KMap
Dynamics and control in nonlinear, time-periodic, time-delayed, stochastic, and fractional order systems; chaos identification and control; multi-agent consensus control and estimation; spacecraft guidance, navigation and control; estimation and control of spacecraft attitude and relative motion dynamics; coupled orbit/attitude dynamics; Coulomb formation flying; interplanetary, interstellar and libration point transfers; nonlinear vibrations; order reduction; regenerative chatter in machining; vibration-based damage detection in structural and rotordynamic systems.

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Courses
  • OMSF
    Orbital Mechanics and Space Flight

  • DM
    Dynamics of Machines

  • AV
    Advanced Vibration

  • IACT
    Introduction to Advanced Control Theory

  • IMD
    Interplanetary Mission Design

  • MV
    Mechanical Vibrations

  • ICE
    Internal Combustion Engines

  • AA
    Advanced Astrodynamics

  • SADC
    Spacecraft Attitude Dynamics and Control

  • SOE
    Spacecraft Optimal Estimation

Grants
  • Funding agency logo
    SBIR Phase I: Assured Autonomous Spacecraft GN&C via Hybrid Control

    Principal Investigator (PI)

    2017

    $18.9K
  • Funding agency logo
    Collaborative Research: Resilient Decentralized Estimation and Control for Cooperative Rigid Body Multivehicle Systems

    Principal Investigator (PI)

    2016

    $250.0K
  • Funding agency logo
    Characterization Of Non-linearized Spacecraft Relative Motion Using Nonlinear Normal Modes

    Principal Investigator (PI)

    2014

    $46.5K
News
  • UArizona Ranks Third Among Top Producers of Fulbright US Scholars

    2021

Publications (123)
Recent
  • Rigid Body Attitude Control, Synchronization, and Bipartite Consensus using Feedback Reshaping

    2023

  • Calibrated Kalman Filtering in Relative Orbit Estimation

    2022

  • PID Pose Consensus Control of a Multi-Agent Rigid Body System using Exponential Coordinates

    2022

  • Consensus SE(3)-Constrained Extended Kalman Filter and Sensor Fusion for Close Proximity Orbital Relative Pose Estimation

    2022

  • Consensus Control of Rigid Body Spacecraft in Orbital Relative Motion using TSE(3) and Exponential Coordinates

    2022

  • SE(3)-Constrained Extended Kalman Filtering for Rigid Body Pose Estimation

    2022

  • Full N-Body Problem in the Geometric Mechanics Framework and its Reduction to Circular Restricted Three-Body Problem

    2022

  • Design Considerations for Attitude Consensus Control of Two Flexible Spacecraft

    2022

  • Consensus and Balanced Configurations on the Circle with Ring Topology and Heterogeneous Input Delays

    2022

  • Equivalence and Calibration of Euler Angles with Less Nonlinear Attitude Parameterizations

    2022

  • Pose Consensus Control of Multi-Agent Rigid Body Systems with Homogeneous and Heterogeneous Communication Delays

    2022

  • Prescribed-Time Consensus Control of Rigid Body Pose

    2022

  • Fuel Efficiency of Fully- and Under-Constrained Coulomb Formations in Slightly Elliptic Reference Orbits,

    2021

  • Modified Nonlinear Morse-Lyapunov Attitude Control

    2021

  • 6-DOF Consensus Control of Multi-Agent Rigid Body Systems using Rotation Matrices

    2021

  • Equivalence of Linearized Approximations for Overparameterized Representations of Dynamic Systems

    2021

  • Robust Hybrid Supervisory Control for Spacecraft Close Proximity Missions

    2021

  • Consensus Stability in Multi-Agent Systems with Periodically Switched Communication Topology using Floquet Theory

    2021

  • Lyapunov-Based Control of Kinematically Coupled Close-Proximity Spacecraft Feature Point Dynamics,

    2021

  • Attitude Consensus Control of a Rigid Body Multi-Vehicle System with Heterogeneous Communication Delays

    2021

  • Decentralized 6-DOF Consensus Control in Orbital Relative Motion with Heterogeneous Communication Delays using Rotation Matrices

    2020

  • Finite-Time Attitude Consensus Control of a Multi-Agent Rigid Body System

    2020

  • Adaptive Consensus Control of Rigid Body Attitude Motion using Rotation Matrices

    2020

  • Rigid Body Pose Hybrid Control Using Dual Quaternions: Global Asymptotic Stabilization and Robustness

    2020

  • Calibrated Approximations of Error Kinematics for Attitude Parameterizations

    2020

  • Distributed Adaptive Control and Stability Verification for Linear Multiagent Systems with Heterogeneous Actuator Dynamics and System Uncertainties

    2019

  • Ambiguous Orbits in Elliptic Chief Spacecraft Relative Orbit Estimation with Range-Only Measurements

    2019

  • Consensus Control of a Multi-Agent Rigid Body System on TSO(3)^N and TSE(3)^N

    2019

  • Coordinate-Invariant Linear Quadratic Control

    2019

  • Consensus Estimation of Rigid Body Motion using Lie Algebra se(3) and the Consensus Extended Kalman Filter

    2019

  • Morse-Lyapunov-Based Decentralized Consensus Control of Rigid Body Spacecraft in Orbital Relative Motion

    2019

  • Space-Based Relative Orbit Estimation using Information Sharing and the Consensus Kalman Filter

    2019

  • Optimal Observer-Based Feedback Control for Linear Fractional-Order Systems with Constant or Periodic Coefficients

    2019

  • Dynamics and Control of Spacecraft with a Large Misaligned Rotational Component

    2019

  • Robust Stochastic Stabilization of Attitude Motion

    2019

  • Accurate Electrostatic Force and Moment Approximations for Coulomb Charged Spacecraft Based on Center of Charge

    2019

  • Distributed Control of Rigid Body Reduced Attitude: Synchronization and Balancing

    2019

  • Fractional PID Consensus Protocols for Second-Order Multi-Agent Systems

    2019

  • Fractional Control of Relative Orbit Trajectories

    2019

  • Decentralized Consensus Control of Rigid Bodies using Exponential Coordinates

    2019

  • Numerical Solution of Multi-Order Fractional Differential Equations with Multiple Delays via Spectral Collocation Methods

    2018

  • Hybrid Control for Autonomous Spacecraft Rendezvous Proximity Operations and Docking

    2018

  • Fractional Control of Rigid Body Attitude Dynamics using Exponential Coordinates

    2018

  • Linearized Relative Orbital Motion Model about an Oblate Body Without Averaging

    2018

  • Adaptive Control of a Rigid Body Vehicle on Exponential Coordinates with Guaranteed Performance

    2018

  • Ambiguous Relative Orbits in Sequential Relative Orbit Estimation with Range-Only Measurements

    2018

  • Phase-Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-Term Fractional Differential Equations

    2018

  • Time-Varying Communication Topology in Consensus Estimation of Spacecraft Relative Orbital Motion

    2018

  • Periodically Switched Communication Topology in Multi-Agent Consensus Control: Stability and Floquet Theory

    2018

  • Decentralized Estimation of Spacecraft Relative Motion Using Consensus Extended Kalman Filter

    2018

  • Integration of Divide-and Conquer Algorithm with Fractional Order Controllers for the Efficient Dynamic Modeling and Control of Multibody Systems

    2018

  • Robust Global Asymptotic Stabilization of Rigid Body Dynamics using Dual Quaternion Feedback

    2018

  • Stable Distributed Adaptive Systems for Control of Linear Multiagent Systems in the Presence of Heterogeneous Actuator Dynamics and Unknown Parameters

    2018

  • Optimal Periodic-Gain Fractional Delayed State Feedback Control for Linear Fractional Periodic Time-Delayed Systems

    2018

  • Extended Kalman filter and Observability Analysis for Consensus Estimation of Spacecraft Relative Motion

    2018

  • Morse-Lyapunov-Based Control of Rigid Body Motion on TSE(3) via Backstepping

    2018

  • Probabilistic-Robust Optimal Control for Uncertain Linear Time-delay Systems by State Feedback Controllers with Memory

    2018

  • Robust Hybrid Supervisory Control for a 3-DOF Spacecraft in Close-Proximity Operations

    2018

  • Spacecraft Attitude Fractional Feedback Control using Rotation Matrices and Exponential Coordinates

    2018

  • The FCC Stability Criterion for Fractional-Order Linear Time-Invariant Systems with Commensurate or Incommensurate Orders

    2018

  • Linearized Relative Orbital Motion Dynamics in a Rotating Second Degree and Order Gravity Field

    2018

  • Robust Hybrid Kalman Filter for a Class of Nonlinear Systems

    2018

  • Nonlinear Normal Modes of Relative Orbital Motion for Unperturbed Two-Body Reference Orbits

    2017

  • Efficient Modified Chebyshev Differentiation Matrices for Fractional Differential Equations

    2017

  • Design of Optimal Fractional Luenberger Observers for Linear Fractional-Order Systems

    2017

  • A New Time-Explicit J2-Perturbed Nonlinear Relative Orbit Model with Perturbation Solutions

    2017

  • Coefficient of Restitution in Fractional Viscoelastic Compliant Impacts using Fractional Chebyshev Collocation

    2017

  • Stabilization of Rigid Body Attitude Motion with Time-Delayed Feedback

    2017

  • Earth-Moon L1 Libration Point Orbit Continuous Stationkeeping Control using Time-Varying LQR and Backstepping

    2017

  • On Kalman Filtering and Observability in Nonlinear Sequential Relative Orbit Estimation

    2017

  • Distributed Adaptive Control of Networked Multiagent Systems with Heterogeneous Actuator Dynamics

    2017

  • Stable Fractional Chebyshev Differentiation Matrix for the Numerical Solution of Multi-Order Fractional Differential Equations

    2017

  • Adaptive Neural-Fuzzy Inference System to Control Dynamical Systems with Fractional Order Dampers

    2017

  • Fractional Chebyshev Collocation Method for Solving Linear Fractional-Order Delay-Differential Equations

    2017

  • Comparison of Relative Orbital Motion Perturbation Solutions in Cartesian and Spherical Coordinates

    2017

  • Fractional Delayed Control Design for Linear Periodic Systems

    2016

  • Chaos Analysis and Control in Fractional Order Systems using Fractional Chebyshev Collocation Method

    2016

  • Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems Via Explicit Harmonic Balance Method

    2016

  • Optimal Fractional State Feedback Control for Linear Fractional Periodic Time-Delayed Systems

    2016

  • Robust Hybrid Supervisory Control for Rendezvous and Docking of a Spacecraft

    2016

  • One-Dimensional Impact Problem in Fractional Viscoelastic Models

    2016

  • Analysis of Ambiguous Orbits in Sequential Relative Orbit Estimation with Range-Only Measurements

    2016

  • Fuel Efficient Periodic Gain Control Strategies for Spacecraft Relative Motion in Elliptic Chief Orbits

    2016

  • Third Order Cartesian Relative Motion Perturbation Solutions for Slightly Eccentric Chief Orbits

    2016

  • Linguistic Fuzzy Logic Control of a Double Inverted Pendulum with Destabilizing Fractional Dampers

    2016

  • Fractional PID Control of Spacecraft Attitude Dynamics Using Rotation Matrices

    2016

  • A real-time approach for damage identification using hyperchaotic probe and stochastic estimation

    2016

  • Analysis of Ambiguous Orbits for Elliptic Chief Relative Orbit Estimation with Range-Only Measurements

    2016

  • Almost Global Stochastic Stabilization of Attitude Motion with an Unknown Diffusion Coefficient

    2016

  • Decentralized Consensus Control of a Rigid-Body Spacecraft Formation with Communication Delay

    2016

  • A New Approach to Space Domain Awareness at the University of Arizona

    2016

  • The Spectral Parameter Estimation Method for Parameter Identification of Linear Fractional Order Systems

    2016

  • Unscented State Estimation for Rigid Body Attitude Motion with a Finite-Time Stable Observer

    2016

  • Spherical Coordinate Perturbation Solutions to Relative Motion Equations: Application to Double Transformation Spherical Solution

    2016

  • Delayed Feedback Asymptotic Stabilization of Rigid Body Attitude Motion for Large Rotations

    2015

  • Attitude Stabilization of Rigid Spacecraft with Minimal Attitude Coordinates and Unknown Time-Varying Delay

    2015

  • Transfers from Earth to Earth-Moon L3 Halo Orbits using Accelerated Manifolds

    2015

  • Robust Stabilization of Rigid Body Attitude Motion in the Presence of a Stochastic Input Torque

    2015

  • Fractional Delayed Damped Mathieu Equation

    2015

  • Finite-Time Control for Spacecraft Body-Fixed Hovering over an Asteroid

    2015

  • Determining Position Around an Asteroid Using Communication Relays and Trilateration

    2015

  • Asymptotic Stabilization of Rigid Body Attitude Motion in the Presence of Unknown Time Delay in Feedback

    2015

  • USE OF NONLINEARITIES FOR INCREASED OBSERVABILITY IN RELATIVE ORBIT ESTIMATION

    2015

  • NONLINEAR REDUCED ORDER DYNAMICS OF SPACECRAFT RELATIVE MOTION FOR A CIRCULAR CHIEF ORBIT

    2015

  • Asymptotic Tracking Control for Spacecraft Formation Flying with Decentralized Collision Avoidance

    2015

  • Explicit Harmonic Balance Method for Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems

    2015

  • Decentralized Relative Position and Attitude Consensus Control of a Spacecraft Formation with Communication Delay

    2015

  • Continuous Thrust Stationkeeping in Earth-Moon L1 Halo Orbits Based on LQR Control and Floquet Theory

    2014

  • Optimal Control of Spacecraft Motion in Time-periodic Astrodynamic Systmes

    2014

  • Finite-time Control for Body-fixed Hovering of Rigid Spacecraft Over an Asteroid

    2014

  • Kinematically Coupled Relative Spacecraft Motion Control Using State-dependent Riccati Equation Method

    2014

  • Nonlinear Output Tracking and Disturbance Rejection for Autonomous Close Range Rendezvous and Docking of Spacecraft

    2014

  • Determination of Relative Motion of a Space Object from Simultaneous Measurements of Range and Range Rate

    2014

  • Observed-based Body-frame Hovering Control Over a Tumbling Asteroid

    2014

  • Almost Global Asymptotic Tracking Control for Spacecraft Body-fixed Hovering Over an Asteroid

    2014

  • Optimal Feedback Control Strategies for Periodic Delayed Systems

    2014

  • Finite-time Observer for Rigid Spacecraft Motion Over an Asteroid

    2014

  • Three-dimensional Vibration Analysis of Rectangular Plates with Undamaged and Damaged Boundaries by the Spectral Collation Method

    2014

  • Numerical Stability of Linear Stochastic Delay Differential Equations Using Chebyshev Spectral Continuous Time Approximation

    2014

  • Approximate Transition Boundaries in the Fractional Delayed Damped Mathieu Equation

    2014

  • Statistical Fuel Budgets for Impulsive Guidance to Earth-Moon L1 Halo Orbits

    2014

  • Improved Transfers to Earth-Moon L3 Halo Orbits

    2014

  • Optimal Interior Earth-Moon Lagrange Point Transfer Trajectories Using Mixed Impulsive and Continuous Thrust

    2014

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