Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints

@article{Ngo2005IntegratorBU,
  title={Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints},
  author={K. B. Ngo and Robert Mahony and Zhong-Ping Jiang},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={8306-8312}
}
The problem of stabilization for a class of feedback linearizable systems with multiple state constraints is addressed. The design procedure is constructive, and yields a continuous final control law which guarantees that all specified states remain within certain bounds for all time. The achieved bounds on the states are independent of the initial conditions. The procedure entails shaping the control Lyapunov function, and propagating hard-bounds imposed on the pertinent stabilising functions… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 20 references

Backstepping with bounded feedbacks

Systems & Control Letters • 2004
View 1 Excerpt

Integrator backstepping design for motion systems with velocity constraint

2004 5th Asian Control Conference (IEEE Cat. No.04EX904) • 2004
View 1 Excerpt

Aircraft Control and Simulation (Second Edition)

B. Stevens, F. Lewis
New Jersey: Wiley, • 2003
View 1 Excerpt

Control Systems with Input and Output Constraints, ser

A. H. Glattfelder, W. Schaufelberger
Advanced Textbooks in Control and Signal Processing. London: Springer-Verlag, • 2003
View 1 Excerpt

A generalized reference governor for nonlinear systems

E. G. Gilbert, I. Kolmanovsky
Proceedings of the IEEE Conference on Decision and Control, 2001, pp. 4222–4227. • 2001
View 1 Excerpt

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