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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.Show Less
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Courses
- OMSFOrbital Mechanics and Space Flight
- DMDynamics of Machines
- AVAdvanced Vibration
- IACTIntroduction to Advanced Control Theory
- IMDInterplanetary Mission Design
- MVMechanical Vibrations
- ICEInternal Combustion Engines
- AAAdvanced Astrodynamics
- SADCSpacecraft Attitude Dynamics and Control
- SOESpacecraft Optimal Estimation
Grants
- SBIR Phase I: Assured Autonomous Spacecraft GN&C via Hybrid Control
Principal Investigator (PI)
2017
$18.9K
- Collaborative Research: Resilient Decentralized Estimation and Control for Cooperative Rigid Body Multivehicle Systems
Principal Investigator (PI)
2016
$250.0K
- 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