Finite-time dissipative control of uncertain singular T–S fuzzy time-varying delay systems subject to actuator saturation

The analysis result of disturbance-observer-based control (DOBC) for semi-Markovian jump systems (S-MJSs) with time-varying delay and generally uncertain transition rate (TR) is given in this paper. At present, there are still some urgent problems needed to be solved for S-MJSs such that conservative of stability, difficult of obtaining of TR in practical system, and the unexpected transient performance is always inevitable, such as larger overshoots and longer settling time. Unlike the existing methods, the proposed method considers the external disturbance, limitation on domain of control signal, uncertain parameters and time-varying delay in the S-MJSs. The piecewise analysis method for time-varying delay systems is extended to DOBC for S-MJSs. First of all, the sufficient condition of stochastic stability based on S-MJSs with more general TR is derived by piecewise Lyapunov-Krasovskii functional. Then, the disturbance observer is designed for estimating the actual disturbance, and the anti-disturbance controller is designed to deal with the control problem of S-MJSs. Furthermore, the problem of actuator saturation is addressed. Finally, two practical example is employed to testify the correctness of the proposed methods.

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Neural networks‐based adaptive practical preassigned finite‐time fault tolerant control for nonlinear time‐varying delay systems with full state constraints

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5352 ◽

2020 ◽

Author(s):

Xinjun Wang ◽

Ben Niu ◽

Xinmin Song ◽

Ping Zhao ◽

Zhenhua Wang

Keyword(s):

Neural Networks ◽

Finite Time ◽

State Constraints ◽

Fault Tolerant ◽

Delay Systems ◽

Time Varying ◽

Time Varying Delay ◽

Full State ◽

Varying Delay ◽

Full State Constraints

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Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

Mathematical Problems in Engineering ◽

10.1155/2017/2538904 ◽

2017 ◽

Vol 2017 ◽

pp. 1-9 ◽

Cited By ~ 8

Author(s):

Jingting Hu ◽

Guixia Sui ◽

Shengli Du ◽

Xiaodi Li

Keyword(s):

Nonlinear Systems ◽

Finite Time ◽

Delay Systems ◽

Time Varying ◽

Uncertain Nonlinear Systems ◽

Time Stability ◽

External Disturbances ◽

Finite Time Stability ◽

Time Varying Delay ◽

Varying Delay

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.

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Finite-time stability of discrete-time systems with time-varying delay

Chemical Industry and Chemical Engineering Quarterly ◽

10.2298/ciceq120126026s ◽

2012 ◽

Vol 18 (4-1) ◽

pp. 525-533 ◽

Cited By ~ 22

Author(s):

Sreten Stojanovic ◽

Dragutin Debeljkovic ◽

Nebojsa Dimitrijevic

Keyword(s):

Finite Time ◽

Linear Time ◽

Original System ◽

Delay Systems ◽

Time Varying ◽

Time Stability ◽

Finite Time Stability ◽

Time Varying Delay ◽

Maximum Delay ◽

Varying Delay

Finite-time stability can be used in all applications where large values of the state are not acceptable. In this paper, finite-time stability problem for a class of linear time-varying delay systems is studied. Based on Lyapunov-like functions method and using an appropriate model transformation of the original system, the sufficient delay-dependent finite-time stability conditions are derived. The criteria are presented in the form of LMIs, which are dependent on the minimum and maximum delay bounds. The numerical examples are presented to illustrate the applicability of the developed results.

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