The DOI matches its Crossref record; 53 of the 53 references it cites were found in a registry or an index.
Neural-Network-Based Online HJB Solution for Optimal Robust Guaranteed Cost Control of Continuous-Time Uncertain Nonlinear Systems
Abstract
In this paper, the infinite horizon optimal robust guaranteed cost control of continuous-time uncertain nonlinear systems is investigated using neural-network-based online solution of Hamilton-Jacobi-Bellman (HJB) equation. By establishing an appropriate bounded function and defining a modified cost function, the optimal robust guaranteed cost control problem is transformed into an optimal control problem. It can be observed that the optimal cost function of the nominal system is nothing but the optimal guaranteed cost of the original uncertain system. A critic neural network is constructed to facilitate the solution of the modified HJB equation corresponding to the nominal system. More importantly, an additional stabilizing term is introduced for helping to verify the stability, which reinforces the updating process of the weight vector and reduces the requirement of an initial stabilizing control. The uniform ultimate boundedness of the closed-loop system is analyzed by using the Lyapunov approach as well. Two simulation examples are provided to verify the effectiveness of the present control approach.
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Cites
Neural Network Control Of Robot Manipulators And Non-Linear Systems
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Online actor–critic algorithm to solve the continuous-time infinite horizon optimal control problem
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Reinforcement learning and adaptive dynamic programming for feedback control
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Discrete-Time Nonlinear HJB Solution Using Approximate Dynamic Programming: Convergence Proof
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Approximate dynamic programming for real-time control and neural modeling
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Self-citationOnline learning control by association and reinforcement
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Cited by
Tong, S., Sun, K., & Sui, S. (2018) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2017.2686373 · Cited by 551
Fuzzy adaptive optimal control for nonlinear switched systems with actuator hysteresis
Sui, S., Tong, S., Chen, C. L. P., & Sun, K. (2019) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.2975 · Cited by 23
Metadata
- Authors
- Liu, D., Wang, D., Wang, F.-Y., Li, H., & Yang, X.
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2014-12
- Volume
- 44
- Issue
- 12
- Pages
- 2834-2847
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W1989855774
- Cited by
- 310
- References
- 53
- FWCI
- 26.12
- Type
- journal article
- Language
- en
- Open access
- closed
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