The following are a list of papers regarding the control of Nonlinear Multiple Time Scale Systems. Selected papers have a pdf linked at the end of the citation.
- Siddarth, Anshu, and Valasek, John, Nonlinear Multiple Time Scale Systems in Standard and Non-Standard Forms: Analysis and Control, Society for Industrial and Applied Mathematics (SIAM), 2014. DOI: http://dx.doi.org/10.1137/1.9781611973341
- Holzapfel, Florian, and Theil, Stephan (Eds.), Advances in Aerospace Guidance, Navigation and Control, Springer, 2011.
- Chapter: Narang-Siddarth, Anshu, and Valasek, John, “Global Tracking Control Structures for Nonlinear Singularly Perturbed Aircraft Systems”
- Eves, Kameron, and Valasek, John, “Slow Time Scale Adaptive Control for Multiple Time Scale Systems,” Journal of Guidance, Control, and Dynamics, Volume 46, Number 11, 2023. doi.org/10.2514/1.G007439 Slow Timescale Adaptive Control for Multiple-Timescale Systems
- Saha, Dipanjn,Valasek, John, Famularo, Douglas, “Output Feedback Control Using State Observers of a Class of Nonlinear Nonstandard Two-Time-Scale Systems,” International Journal of Control, Volume 92, November 2019, pp 1-15. doi.org/10.1080/00207179.2019.1687938 Output feedback control using state observers of a class of nonlinear nonstandard two time scale systems
- Saha, Dipanjan, Valasek, John, Leshikar, Christopher, and Reza, Mashfique, “Multiple-Time-Scale Nonlinear Control of Aircraft with Model Uncertainties,” Journal of Guidance, Control, and Dynamics, Volume 43, Number 3, December 2019, pp. 536-552. doi.org/10.2514/1.G004303 Multiple-Timescale Nonlinear Control of Aircraft with Model Uncertainties
- Siddarth, Anshu, and Valasek, John, “Kinetic State Tracking for a Class of Singularly Perturbed Systems,” Journal of Guidance, Control, and Dynamics, Volume 34, Number 3, May-June 2011, pp. 734-749. doi.org/10.2514/1.52127 Kinetic State Tracking for a Class of Singularly Perturbed Systems
- Eves, Kameron, and Valasek, John, “Inlet Unstart Prevention by Adaptive Regulation Using a Nonlinear Longitudinal Timescale Model,” AIAA 2024-2874, 2024 AIAA Science and Technology Forum and Exposition, Orlando, FL, 12 January 2024 doi.org/10.2514/6.2024-2874
- Eves, Kameron, and Valasek, John, “Adaptive Control for Non-minimum Phase Systems Via Time Scale Separation,” 1119, 2023 American Control Conference, 2 June 2023, San Diego, CA. doi.org/10.23919/ACC55779.2023.10155827 Adaptive Control for Non-Minimum Phase Systems Via Time Scale Separation
- Eves, Kameron, and Valasek, John, “Introduction to Adaptive Control for Multiple Time Scale Systems,” AIAA-2023-1444, 2023 AIAA Science and Technology Forum and Exposition, National Harbor, MD, 23 January 2023. doi.org/10.2514/6.2023-1444
- Saha, Dipanjan, and Valasek, John, “Nonlinear Multiple-Time-Scale Attitude Control of a Rigid Spacecraft with Uncertain Inertias,” AIAA-2019-0932, 2019 AIAA Guidance, Navigation, and Control Conference, AIAA Science and Technology Forum and Exposition, San Diego, CA, 8 January 2019. doi.org/10.2514/6.2019-0932
- Saha, Dipanjan, Valasek, John, and Mashfique, Reza, “Two-Time-Scale Control of a Low-Order Nonlinear Nonstandard System with Uncertain Dynamics,” 2018 IFAC American Control Conference, Milwaukee, WI June 2018.
- Saha, Dipanjan, Valasek, John, Famularo, Douglas, and Reza, Mohammad, “Combined Longitudinal and Lateral/Directional Maneuvers of a Generic F-16A Using Multiple-Time-Scale Control,” AIAA-2018-1335, 2018 AIAA Guidance, Navigation, and Control Conference, Kissimmee, FL, 10 January 2018.
- Saha, Dipanjan, and Valasek, John, “Two-Time-Scale Slow and Fast State Tracking of an F-16 Using Slow and Fast Controls,” AIAA-2017-1256, AIAA Guidance, Navigation, and Control Conference, AIAA Science and Technology Forum and Exposition, Grapevine, TX, 12 January 2017.
- Saha, Dipanjan, and Valasek, John, “Observer-Based Sequential Control of a Nonlinear Two-Time-Scale System with Multiple Slow and Fast States,” 10th IFAC Symposium on Nonlinear Control Systems, Monterey, CA, 24 August 2016.
- Saha, Dipanjan, and Valasek, John, “Observer-Based Sequential Control of a Two Time Scale Spring-Mass-Damper System ,” AIAA-2016-0361, Proceedings of the 2016 AIAA Guidance, Navigation, and Control Conference: AIAA Science and Technology Forum 2016, San Diego, CA,4 January 2016.
- Valasek, John, and Narang-Siddarth, Anshu “Tracking Control of Non-Standard Multiple Time Scale Systems with Slow and Fast Actuators,” 52nd Society of Engineering Sciences Technical Meeting, College Station, TX, 28 October 2015.
- Siddarth, Anshu, Peter, Florian, Holzapfel, Florian, and Valasek, John, “Autopilot for a Nonlinear Non-Minimum Phase Tail-Controlled Missile Using Time Scale Separation,” AIAA-2014-1239, Proceedings of the AIAA Science and Technology Forum and Exposition 2014: 52nd Aerospace Sciences Meeting, National Harbor, MD, 16 January 2014.
- Siddarth, Anshu and Valasek, John, “State Feedback Control of Non-Aaffine-In-Control Systems,” Proceedings of the SIAM Conference on Control and Its Applications, SIAM CT13, San Diego, CA, 8 July 2013.
- Siddarth, Anshu and Valasek, John, “A Constructive Stabilization Approach for Open-Loop Unstable Non-Affine Systems,” 2013 IFAC American Control Conference, Washington, DC June 2013.
- Siddarth, Anshu, and Valasek, John, “Tracking Control for a Non-Minimum Phase Autonomous Helicopter, “ Proceedings of the 2011 AIAA Guidance, Navigation, and Control Conference, Minneapolis, MN, 13 August 2012.
- Siddarth, Anshu, and Valasek, John, “Tracking Control Design for Non-Standard Nonlinear Singularly Perturbed Systems,” WeA06.6, Proceedings of the 2012 IFAC American Control Conference, Montreal, Canada, 27 June 2012. Tracking Non-Standard Singularly Perturbed
- Siddarth, Anshu, and Valasek, John, “Output Tracking of Non-Minimum Phase Aircraft Dynamics,” AIAA-2010-8159, Proceedings of the 2011 AIAA Guidance, Navigation, and Control Conference, Portland, OR, 8 August 2011.
- Siddarth, Anshu, and Valasek, John, “Global Tracking Control Structures for Nonlinear Singularly Perturbed Aircraft Systems,” AIAA-2010-8159, Proceedings of the 1st CEAS Specialist Conference on Guidance, Navigation & Control (Euro GNC 2011), München, 13 April 2011. Global Tracking Control Structures for Nonlinear Singularly Perturbed Aircraft Systems
- Siddarth, Anshu, and Valasek, John, “Kinematic State Tracking for a Class of Singularly Perturbed Systems,” AIAA-2010-8159, Proceedings of the 2010 AIAA Guidance, Navigation, and Control Conference, Toronto, Canada, 4 August 2010.