Finite‐time stabilization of output‐constrained planar switched systems via output feedback

Abstract

Finite-time stabilization (FTS) problem of output-constrained planar switched systems via output feedback is investigated in this paper. State feedback control laws are constructed in a systematic way by combining the revamped adding a power integrator technique (APIT) with the elaborately designed logarithm-type barrier Lyapunov function (BLF). By merging the constructed variable-gain switched observers, finite-time output-feedback stabilization, then, is achieved with the output constraint meets too. At the end, simulations are presented to show the effectiveness of the proposed method.

Adaptive neural network finite‐time command filter tracking control for nonlinear systems with multiple coupling high‐order terms and disturbances

“…The above-mentioned papers on the uncertain nonlinear systems all demonstrated the results obtained when time tends to infinity. Because of the unique advantages of finite time stability such as fast response, high convergence accuracy and strong anti-interference ability, finite time control has become a hot and interesting research topic in recent years, and many promising results on nonlinear uncertain systems have been achieved [14][15][16][17]. In [14], the problem of finite-time stability of a class of high-order nonlinear switched systems with output constraints is solved by combining the revamped adding a power integrator technique with the elaborately designed logarithm-type barrier Lyapunov function.…”

“…Because of the unique advantages of finite time stability such as fast response, high convergence accuracy and strong anti-interference ability, finite time control has become a hot and interesting research topic in recent years, and many promising results on nonlinear uncertain systems have been achieved [14][15][16][17]. In [14], the problem of finite-time stability of a class of high-order nonlinear switched systems with output constraints is solved by combining the revamped adding a power integrator technique with the elaborately designed logarithm-type barrier Lyapunov function. Combining with the dynamic surface control technology, [15] solved the finite-time tracking problem of single-link flexible-joint robots with actuator failure.…”