Robust observer‐based‐controller design for uncertain fractional‐order time‐varying‐delay systems

2021 ◽  
Author(s):  
Yassine Boukal ◽  
Mohamed Darouach ◽  
Michel Zasadzinski ◽  
Nour Eddine Radhy
Keyword(s):  
Fractional Order ◽  
Controller Design ◽  
Delay Systems ◽  
Time Varying ◽  
Robust Observer ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Observer-Based Robust Control for Switched Stochastic Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Guoxin Chen ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Robust Control ◽  
Stochastic Systems ◽  
Controller Design ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Time Varying ◽  
Stochastic Delay ◽  
Time Varying Delay ◽  
Switched Stochastic Systems ◽  
Varying Delay

This paper investigates the problem of observer-based robust control for a class of switched stochastic systems with time-varying delay. Based on the average dwell time method, an exponential stability criterion for switched stochastic delay systems is proposed. Then, performance analysis and observer-based robust controller design for the underlying systems are developed. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

scholarly journals Adaptive Backstepping Control for a Class of Uncertain Nonaffine Nonlinear Time-Varying Delay Systems with Unknown Dead-Zone Nonlinearity

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Wei-Dong Zhou ◽  
Cheng-Yi Liao ◽  
Lan Zheng
Keyword(s):  
Controller Design ◽  
Dead Zone ◽  
Tracking Error ◽  
Delay Systems ◽  
Mean Value Theorem ◽  
Time Varying ◽  
Adaptive Backstepping ◽  
Nonlinear Part ◽  
Time Varying Delay ◽  
Varying Delay

An adaptive backstepping controller is constructed for a class of nonaffine nonlinear time-varying delay systems in strict feedback form with unknown dead zone and unknown control directions. To simplify controller design, nonaffine system is first transformed into an affine system by using mean value theorem and the unknown nonsymmetric dead-zone nonlinearity is treated as a combination of a linear term and a bounded disturbance-like term. Owing to the universal approximation property, fuzzy logic systems (FLSs) are employed to approximate the uncertain nonlinear part in controller design process. By introducing Nussbaum-type function, the a priori knowledge of the control gains signs is not required. By constructing appropriate Lyapunov-Krasovskii functionals, the effect of time-varying delay is compensated. Theoretically, it is proved that this scheme can guarantee that all signals in closed-loop system are semiglobally uniformly ultimately bounded (SUUB) and the tracking error converges to a small neighbourhood of the origin. Finally, the simulation results validate the effectiveness of the proposed scheme.

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