Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints

By Khoi B. Ngo, Robert E. Mahony, Zhong-Ping Jiang. Proceedings of the 44th IEEE Conference on Decision and Control, 2005

527 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/3f249f9aef23c2978ec84e0fdb9f9669933e295a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Wei He
2. Shuzhi Sam Ge
3. Zhao Yin
4. Changyin Sun
5. Keng Peng Tee
6. Kai Zhao
7. Yongduan Song
8. Shaocheng Tong

Citations in the corpus

• Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function (2010, methodology): “Recently, the design of barrier functions in Lyapunov synthesis has been proposed for constraint handling in Brunovskytype systems [ 16 ], nonlinear systems in strict feedback form [25], and electrostatic microactuators [24].”
• Control of nonlinear systems with time-varying output constraints (2009, unknown): “BLF-based control design has been proposed for nonlinear systems in Brunovsky form [10] and strict feedback form [11], as well as for electrostatic microactuators [12] and electromagnetic”
• Barrier Lyapunov functions-based adaptive control for nonlinear pure-feedback systems with time-varying full state constraints (2017, methodology): “Additionally, Barrier Lyapunov Function (BLF) has been employed to handle constraints for systems in the Brunovsky form [11], strict-feedback form [12–16] and pure-feedback form [17, 18].”
• Removing the Feasibility Conditions Imposed on Tracking Control Designs for State-Constrained Strict-Feedback Systems (2019, methodology): “See [21], [28], [31] for more discussion on this issue.”
• Barrier Lyapunov Functions for the control of output-constrained nonlinear systems (2009, background): “Choose the following Symmetric Barrier Lyapunov Function candidate, originally proposed in Ngo et al. (2005):”
• Control of nonlinear systems with partial state constraints using a barrier Lyapunov function (2011, methodology): “BLFs have been used to control systems in Brunovsky form (Ngo, Mahony, and Jiang 2005), output-constrained systems in strict feedback form (Tee, Ge, and Tay 2009b; Tee, Ren, and Ge 2011; Yan and Wang 2010), output-constrained systems in output feedback form (Ren, Ge, Tee, and Lee 2010), as well as…”
• Barrier Lyapunov functions-based dynamic surface control for pure-feedback systems with full state constraints (2017, methodology): “Besides these, barrier Lyapunov functions (BLF) have been employed to handle constraints for systems in the Brunovsky form [6], strict-feedback form [9–11], and pure-feedback form [12–15].”
• Adaptive Neural Network Control of a Marine Vessel With Constraints Using the Asymmetric Barrier Lyapunov Function (2017, methodology): “[40] developed barrier Lyapunov functions to handle the constraints for systems in the Brunovsky form.”