Sampled‐data output feedback stabilization for a class of upper‐triangular nonlinear systems with input delay

Abstract

This article focuses on the sampled-data output feedback stabilization for a class of upper-triangular nonlinear systems with input delay and p-normal structure, a reduced-order observer with the detected sampled output measurement is constructed to evaluate the unavailable states of the considered system, and the backstepping method with adding a power integral technique are adopted to construct the sampled-data output feedback stabilizer. By selecting a suitable Lyapunov-Krasovskii functional, we can demonstrate that the adverse effects caused by the uncertain input delay can be effectively constrained, and the resulting closed-loop system with appropriate design constants and allowable sampling period can reach globally stable. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed control method.

Reduced‐order observer‐based finite‐time control for one‐sided Lipschitz nonlinear switched singular systems

“…Meanwhile, [14] gave the design of reduced-order observer using the generalized Sylvester equations, but it did not fully utilize some of the state information that can be measured. The reduced-order observer with the available detected sampled output measurement was constructed to estimate the unavailable states of the considered systems in [19,25]. However, in this paper, by using coordinate equivalent transformation for system (1), the measurable states and the unmeasurable states are successfully separated, and then a dynamic system for error estimation of the unmeasurable states is designed.…”

“…The dynamic output feedback controller can solve the stabilization problem when the states are completely unavailable. But in actual systems, the state information usually can be detected, to this end, several methods have been proposed in the literatures, such as sliding mode observer based on coordinate equivalent transformation, 12 unknown input observer (UIO) designed by using the linear matrix inequality approach, 13,23 Luenberger observers based on the generalized Sylvester equations, 14 the reduced-order observer with the detected sampled output measurement, 19,25 and so forth. Therefore, the state observer is introduced to construct a controller.…”

“…Reduced‐order dissipative filtering problem for Takagi–Sugeno (T–S) fuzzy MJS was investigated in Reference 24. The reduced‐order observer with the detected sampled output measurement was constructed for a class of upper‐triangular nonlinear systems with input delay in Reference 25. The strict proof process that for a class of nonlinear switched singular systems (NSSS) with unique solution was given in Reference 26.…”