1. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Three impulse vibration reduction filter based on switching control. The impulse amplitudes and switching times are selected to cancel the flexible poles while maintaining the actuator limitations and unit DC gain. Figure Legend:

2. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Comparison of convolution based and TS based schemes, (a) reference command, (b) control shaped with UM filter (impulse amplitudes [1, −1, 1]), and (c) closed-form control with TS filters designed for 0→1, 1→-1, and -1→0 transitions Figure Legend:

3. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Two mass example Figure Legend:

4. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Switching curves in (e,v) projected phase plane for bang-bang command filtered with bang-bang transition shapers designed for γ = 0.8, ω = 1, and ζ = 0.1 Figure Legend:

5. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Switching curves in (y,v) projected phase plane for bang-bang command filtered with bang-bang transition shapers designed for γ = 0.8, ω = 1, and ζ = 0.1 Figure Legend:

6. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Switching curves in (e,v) projected phase plane for bang-bang command filtered with robust bang-bang transition shapers with γ = 0.8, ω = 1, and ζ = 0.1 Figure Legend:

7. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Switching curves in (y,v) projected phase plane for bang-bang command filtered with robust bang-bang transition shapers with γ = 0.8, ω = 1, and ζ = 0.1 Figure Legend:

8. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Proposed control structure. Phase plane switching curves are generated based on the filter parameters. For small errors, the control is switched to a linear feedback controller. r, u, y, and v refer to the reference signal, control input, position output, and velocity, respectively. Figure Legend:

9. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 Size of dead-zone region for different actuator limits Figure Legend:

10. Date of download: 6/27/2016 Copyright © ASME. All rights reserved. From: Projected Phase-Plane Switching Curves for Vibration Reduction Filters With Negative Amplitudes J. Dyn. Sys., Meas., Control. 2014;136(5):051014-051014-9. doi:10.1115/1.4027203 System response y and acceleration comparison for rest-to-rest motion subjected to XPTOS and commands shaped with ZV and ZVD TS filters Figure Legend: