The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Control of state-constrained nonlinear systems using Integral Barrier Lyapunov Functionals
Abstract
This paper presents a control design for nonlinear systems with state constraints, based on the use of our newly introduced Integral Barrier Lyapunov Functionals (iBLF). The integral functional allow the mixing of the original state constraints with the errors in a form amenable to stable backstepping control design. This reduces some of the conservatism associated with the use of purely error-based functions with transformed error constraints. We show that, under the proposed iBLF-based control, output tracking error is bounded by an exponentially decreasing function of time, all states always remain in the constrained state space, and that the stabilizing functions and control input are bounded, subject to significantly relaxed feasibility conditions. A numerical example illustrates the performance of the proposed control.
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Cites
Constrained model predictive control: Stability and optimality
Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M. (2000) · Automatica · doi:10.1016/s0005-1098(99)00214-9 · Cited by 8,736
Cited by
Liu, Y.-J., Li, J., Tong, S., & Chen, C. L. P. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2508926 · Cited by 517
Adaptive Neural Network Control for a Class of Nonlinear Systems With Function Constraints on States
Liu, Y.-J., Zhao, W., Liu, L., Li, D., Tong, S., & Chen, C. L. P. (2023) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3107600 · Cited by 331
Adaptive Controller Design-Based ABLF for a Class of Nonlinear Time-Varying State Constraint Systems
Liu, Y.-J., Lu, S., Li, D., & Tong, S. (2017) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2016.2633007 · Cited by 284
Li, D.-P., Li, D.-J., Liu, Y.-J., Tong, S., & Chen, C. L. P. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2707178 · Cited by 148
Metadata
- Authors
- Tee, K. P., & Ge, S. S.
- Venue
- 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
- Publisher
- IEEE
- Published
- 2012-12
- Pages
- 3239-3244
- OpenAlex
- W2079025554
- Cited by
- 253
- References
- 1
- FWCI
- 6.18
- Type
- conference paper
- Language
- en
- Open access
- closed
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