Design finite-time output feedback controller for nonlinear discrete-time systems with time-delay and exogenous disturbances

Abstract

This paper considers the finite-time output feedback controller design for nonlinear discrete-time systems with time-delay and time-varying exogenous disturbances. The exogenous disturbances are unknown bounded signals. In this regard, a theorem is given and the sufficient conditions are extracted which guarantees the finite-time boundedness of the time-delay closed-loop system via selecting the appropriate Lyapunov-Krasovskii functional. Furthermore, the gain of output feedback is achieved through the feasibility testing of the derived linear matrix inequalities (LMIs). Finally, a numerical example is given to verify the effectiveness of the developed technique.

Separation principle for quasi‐one‐sided Lipschitz nonlinear systems with time delay

“…For the feedback controller (20), a sufficient condition that the zero solution of the closed-loop system is asymptotically stable is as follows. (18).…”

“…In addition, time‐delays pose a challenging issue not only in observers design problem but also in controller design theory. The topic of stability of nonlinear time‐delay systems has received huge attention in the past decade …”

“…An adaptive output‐feedback neural network control scheme for a class of stochastic nonlinear time‐varying delay systems with unknown control directions is presented in Reference . In Reference , the finite‐time output feedback controller design for nonlinear discrete‐time systems with time‐delay and time‐varying exogenous disturbances is considered. In Reference , the problem of finite‐time H ∞ control is addressed for a class of discrete‐time switched nonlinear systems with time delay, which the concept of H ∞ finite‐time boundedness is first introduced for discrete‐time switched delay systems.…”

“…The topic of stability of nonlinear time-delay systems has received huge attention in the past decade. [18][19][20][21][22][23][24] In Reference 18, a delay-range-dependent local state feedback controller synthesis approach providing estimation of the region of stability for nonlinear time-delay systems under input saturation is described. An adaptive output-feedback neural network control scheme for a class of stochastic nonlinear time-varying delay systems with unknown control directions is presented in Reference 19.…”

A survey on set-membership filtering for networked control systems under communication protocols

“…Zhivoglyadov & Middleton, 2003) and has led to rich yet complex network-induced behaviours such as signal quantization, missing/fading measurements, communication delays, sensor saturations and out-of-sequencemeasurement updates. These behaviours have gained considerable research attention as introduced in Bahreini and Zarei (2016), Hassani and Zarei (2016), Li, Dong, Han, Hou and Li (2017), Gholami and Binazadeh (2018), Yu, Dong, Wang, Ren, and Alsaadi (2016), Yang, Dong, Wang, Ren, and Alsaadi (2016), Li and Bao (2017), Dong, Wang, Ding, and Gao (2014) and Shen, Song, Zhu, and Luo (2009). Hence, it has important practical significance to discuss the set-membership filtering problem for the NCSs.…”