Fuzzy adaptive optimal control for nonlinear switched systems with actuator hysteresis
Abstract
Summary: This article considers the issue of fuzzy adaptive dynamic programming control of nonlinear switched systems with arbitrary switchings and unknown uncertain functions and actuator hysteresis nonlinearities. The whole control approach is made of switching feedforward controller and optimal switching feedback controller. To get over the hardness of arbitrary switching structure and the issue of “explosion of complexity”, the common Lyapunov function theory and dynamic surface control method are utilized in the recursive design technique. By using fuzzy logic systems to model unknown inner dynamics and unknown cost functions, a novel fuzzy adaptive optimal switching control strategy is developed. Meanwhile, uniformly ultimately boundedness of all weights in the controlled systems are proved by the proposed control method, and the tracking performance is guaranteed in an optimal manner. Subsequently, a numerical simulation study is used to test the effectiveness of the presented control strategy.
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Several adaptive controllers have been introduced to specifically tackle the complexities associated with unknown backlash-like hysteresis.
“In response to this, several adaptive controllers have been introduced to specifically tackle the complexities associated with unknown backlash-like hysteresis [15][16][17].”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [17]
This paper simultaneously considers the influence of both backlash-like hysteresis and input delay in nonstrict-feedback nonlinear systems.
“Unlike studies such as [16,17], which focus solely on backlash hysteresis, or [31,32], which primarily address input delay, this paper simultaneously considers the influence of both backlash-like hysteresis and input delay in nonstrict-feedback nonlinear systems.”
From Fixed-Time Adaptive Control for Nonstrict-Feedback Nonlinear Systems with Input Delay and Unknown Backlash-Like Hysteresis (2025) · cites this paper as [17]
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“…for systems with unknown time delay to achieve optimum and it is generalized to switched systems with hysteresis in the work of Sui et al. 34 Adaptive neural tracking control scheme was presented for switched nonlinear pure-feedback nonlower triangular systems in the work of Niu et al.…”
MethodInfluentialAdaptive neural optimal control of uncertain nonlinear systems with output constraints
Zhang, T., Xu, H., Xia, X., & Yi, Y. (2020) · Neurocomputing · doi:10.1016/j.neucom.2020.04.007 · Cited by 27 · see citing works
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Switched system optimal control approach for drug administration in cancer chemotherapy
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“Substituting (16), (8)–(10) into (15), it follows that”
BackgroundHan, K., Feng, J. Y., Li, Y., Jiang, P., & Wang, X. (2022) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2022.3168426 · Cited by 15 · see citing works
“Particularly in recent years, the studies of FTC have been widely developed for various systems, such as T-S fuzzy system [4], formation flight system [5], uncertain system [6], switched system [7], etc.”
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“(20) When the trigger condition occurs, according to (20), the actual state of the subsystem is sampled into the sampled state and the event-triggering error ξij(t) is zero.”
BackgroundInfluentialXin, C., & Li, Y. (2022) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3510 · Cited by 7 · see citing works
“(17) Then, it can be held by the zero-order hold (ZOH) until the next events occurs”
BackgroundLuo, A., Xiao, W., Li, X., Yao, D., & Zhou, Q. F. (2022) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6349 · Cited by 6 · see citing works
“41-43 But in these methods only the feed-back term is derived from RL algorithm to minimize the cost function.”
MethodKharrat, M., & Alhazmi, H. (2025) · Neural Processing Letters · doi:10.1007/s11063-025-11749-7 · Cited by 5 · see citing works
“Inresponsetothis,severaladaptivecontrollershavebeenintroduced tospecificallytacklethecomplexitiesassociatedwithunknownbacklash-likehysteresis [15–17].”
Su, H., Zhao, X., & Zhang, W. (2020) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3214 · Cited by 5 · see citing works
“From the comparative simulation results shown in Figures 6,10, and 11, we know that the tracking performance under the prescribed performance control is better than the case without prescribed performance control.”
MethodResultZhang, T., Wang, S., Hua, Y., & Xia, M. (2022) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.6340 · Cited by 5 · see citing works
“In Reference 35, considering the problem of fuzzy ADP for nonlinear switching systems with arbitrary switching and actuator hysteresis, an adaptive optimal switching control strategy was designed.”
BackgroundZhang, S., & Nie, H. S. (2020) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.3090 · Cited by 5 · see citing works
“S ∶= {x0 ∶ (i0, k0), (i1, k1), · · · , (il, kl), (il+1, kl+1), · · · |il ∈ M, l ∈ N}, (2)”
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Sun, G., & Xu, Y. (2019) · Complexity · doi:10.1155/2019/3760401 · Cited by 3 · see citing works
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“In order to overcome the influence of unmodeled dynamics and achieve optimal performance, this paper adopts the feed-forward feedback control structure 11,13 with single adaptive critic network.”
MethodTian, X., Wang, S., & Zhang, T. (2025) · Asian Journal of Control · doi:10.1002/asjc.3609 · Cited by 2 · see citing works
“A fuzzy adaptive control scheme was considered via limiting ADP technique for nonlinear processes with arbitrary switching and hysteresis in Reference [39].”
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“In this paper, it is the first time for us to use FOPID controller for real WMRs. Compared by the classic PID controller, the FOPID controller can minimize the errors, which makes it reasonable to be adopted [8–11] .”
Method
- Authors
- Sui, S., Tong, S., Chen, C. L. P., & Sun, K.
- Affiliations
- University of Macau (MO)
- Liaoning University of Technology (CN)
- Harbin Institute of Technology (CN)
- Corresponding author
- Sui, Shuai
- Venue
- International Journal of Adaptive Control and Signal Processing
- Publisher
- Wiley
- Published
- 2019-02-22
- Volume
- 33
- Issue
- 4
- Pages
- 609-625
- ISSN
- 0890-6327 (ISSN-L)
- 1099-1115
- OpenAlex
- W2917353977
- Cited by
- 23
- References
- 39
- Citations by year
- 2025: 2 · 2023: 1 · 2022: 9 · 2021: 1 · 2020: 5 · 2019: 5
- FWCI
- 3.40
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Adaptive Control and Signal Processing (publishedVersion)
- Funders
- National Natural Science Foundation of China (61603167, 61773188, 61572540)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Adaptive Dynamic Programming Control
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Keywords
- adaptive fuzzy control, optimal control, switched nonlinear systems, actuator hysteresis, dynamic programming, common Lyapunov function, dynamic surface control, arbitrary switching, explosion of complexity, uniform ultimate boundedness, tracking control, unknown cost functions
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