Journal
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
Volume 51, Issue 8, Pages 5189-5197Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2019.2946350
Keywords
Nonlinear systems; Time-varying systems; Lyapunov methods; Closed loop systems; Control design; Adaptive control; Adaptive control; feasibility conditions; full-state constraints; high-order nonlinear systems; time-varying powers
Funding
- Taishan Scholar Project of Shandong Province of China [ts201712040]
- National Key Research and Development Program of China [2018YFC2001700]
- National Natural Science Foundation of China [61673242]
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This article focuses on full-state constrained control for high-order nonlinear systems with unknown multiple time-varying powers and serious parameter unknowns. By utilizing a log-type quadratic barrier Lyapunov function and adaptive techniques, it is proven that the closed-loop system signals are bounded, system states converge to zero, and full-state constraints are not violated.
This article studies full-state constrained control for high-order nonlinear systems with unknown multiple time-varying powers and serious parameter unknowns. Due to the simultaneous existence of unknown powers and full-state constraints, we construct a log-type quadratic barrier Lyapunov function (BLF) rather than a quadratic Lyapunov function. By skillfully combining the log-type BLF, adding a power integrator technique and adaptive technique, an adaptive state feedback controller is developed. Under feasibility conditions, which are provided as sufficient conditions for the existence of proposed full-state constrained control, it is proved that all the signals of the closed-loop system are bounded, original system states converge to zero and full-state constraints are not violated.
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