Adaptive Stabilization of a Class of Feedforward Nonlinear Systems Subject to Unknown Backlash-Hysteresis Inputs
Abstract
A general framework is proposed to stabilize a class of feedforward nonlinear systems subject to backlash-hysteresis inputs. An adaptive controller is conceived to handle both the effects of the system uncertainties and the hysteretic input nonlinearity. The algorithm of state transformation and feedback design with uncertain hysteresis inputs is illustrated through the example of a nonminimum phase mechanical system. Subsequently, the results are extended to hysteretic-single-input-linear systems with an arbitrary structure. Real-time experimental results along with numerical simulations are provided to show the performance of the proposed control algorithms.
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The design of nonlinear systems in nonstrict-feedback form incorporating input delay and backlash-like hysteresis remains an unresolved difficulty in prior work.
“The observation that the design of nonlinear systems in nonstrict-feedback form that incorporates input delay and hysteresis similar to backlash is still an unresolved difficulty in the previously discussed outcomes is what inspired this research.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [13]
Backlash-like hysteresis is a highly intricate nonlinear phenomenon commonly encountered in industrial control processes.
“Among various input nonlinearities, backlash-like hysteresis stands out as a highly intricate nonlinear phenomenon commonly encountered in industrial control processes [13].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [13]
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“The main achievements of this article are summarized as follows: (i) In contrast to established findings [13, 18, 19, 28], this paper explores an adaptive fixed-time tracking control issue within nonstrict-feedback nonlinear systems, contending with both input delay and unknown backlash-like…”
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- Authors
- Ibrir, S., & Su, C.-Y.
- Affiliations
- King Fahd University of Petroleum and Minerals (SA)
- Concordia University (CA)
- Venue
- IEEE Transactions on Control Systems Technology
- Published
- 2017-07
- Volume
- 25
- Issue
- 4
- Pages
- 1180-1192
- ISSN
- 1063-6536 (ISSN-L)
- 1558-0865
- OpenAlex
- W2523099947
- Cited by
- 19
- References
- 53
- Citations by year
- 2025: 3 · 2024: 4 · 2023: 1 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 2 · 2018: 2 · 2017: 2
- FWCI
- 1.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Control Systems Technology (publishedVersion)
- Funders
- Deanship of Scientific Research through the King Fahd University of Petroleum and Minerals (IN131004)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Dynamics and Control of Mechanical Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Piezoelectric Actuators and Control
- Keywords
- adaptive stabilization, feedforward nonlinear systems, unknown hysteresis, state transformation, feedback control design, non-minimum phase systems, mechanical systems, system uncertainty
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