Finite‐time adaptive tracking control for a class of nonstrict feedback nonlinear systems with full state constraints

Abstract

This article reports our investigation on the finite-time tracking control problem for nonstrict feedback nonlinear systems subject to full state constraints. A finite-time stability criterion is founded by employing the barrier Lyapunov function methodology. With the backstepping technique, an adaptive neural networks controller is proposed, which can pledge that the closed-loop system signals bounded and the tracking error converges to a sufficiently modest area around the origin in finite-time under full state constraints. Finally, an example of the electromechanical system is given to corroborate the validity of acquired methods.

Membership functions dependent adaptive sliding mode fault‐tolerant control for uncertain T–S fuzzy systems with performance bounds

“…Even though those SMC results above were effective, only the stability of systems was ensured. As the requirements of industrial process, the transient performances are also noteworthy 27 . It is well known that system performances such as maximum overshoot, steady‐state errors, are also essential to evaluate the qualities of system.…”

Controller design for nonlinear systems subject to both input saturation and asymmetry time‐varying state constraints: A novel network‐based approach

“…Despite the asymmetric time‐varying full‐state constraints problem has been considered in References 35‐37, the research on input saturation was ignored. In addition, compared with the non‐strict feedback nonlinear systems with full‐state constraints, 47 the problems studied in this paper are broader and the systems considered is more general. The MTN‐based control method proposed in this paper has the advantages of simple structure and good approximation effect. Despite that many developments have been developed for nonlinear systems with asymmetric input saturation, 48‐50 the above control methods were only suitable for asymmetric constant input saturation rather than asymmetric time‐varying full state constraints.…”

“…Despite the asymmetric time‐varying full‐state constraints problem has been considered in References 35‐37, the research on input saturation was ignored. In addition, compared with the non‐strict feedback nonlinear systems with full‐state constraints, 47 the problems studied in this paper are broader and the systems considered is more general.…”

Extended state observer‐based finite‐region control for 2‐D Markov jump systems

“…By contrast, FTS plays a heavily weighted role in investigating the transient dynamics of a system over a finite time interval. A few decades have witnessed the development of FTS, [22][23][24][25] since the state behaviors of many engineering applications are expected to be maintained within a work scope over a specific time interval to satisfy hardware limitations or keep the system linear. Notice that most achievements for 1-D systems cannot be simply converted to 2-D systems.…”