scholarly journals Time-scaling transformation for optimal control problem with time-varying delay

2020 ◽  
Vol 13 (6) ◽  
pp. 1683-1695
Author(s):  
Di Wu ◽  
◽  
Yanqin Bai ◽  
Fusheng Xie ◽  
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Time Varying ◽  
Time Varying Delay ◽  
Time Scaling ◽  
Scaling Transformation ◽  
Varying Delay

scholarly journals Reliable Control for Time-Varying Delay Switched Fuzzy Systems with Faulty Actuators Based on Observers Switching Method

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Le Zhang ◽  
Jinnan Wu
Keyword(s):  
Control Problem ◽  
Fuzzy System ◽  
Fuzzy Systems ◽  
Controller Design ◽  
Original System ◽  
System Stability ◽  
Reliable Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

This paper deals with the reliable control problem of nonlinear systems represented by switched fuzzy systems (SFS) with time-varying delay, where each subsystem of switched system is a time-varying delay fuzzy system. A switched fuzzy system with a Takagi and Sugeno (T-S) fuzzy model, which differs from existing ones, is firstly employed to describe a nonlinear system. When the actuators are serious failure, the residual part of actuators cannot make original system stability, using switching technique depends on the states of observers, and the fuzzy reliable controller based on measured observers states instead of the original system states information is built. The stabilization criterion of the reliable control problem is given for the case that the state of original system is unmeasurable. The multi-Lyapunov functions method is utilized to the stability analysis and controller design for time-varying delay switched fuzzy systems with faulty actuators. Moreover, observers switching strategy achieving estimation errors decreasing uniformly asymptotically to zero of the switched fuzzy systems is considered. Finally, the stabilization criterion is transformed into the solvability of sufficient linear matrix inequality (LMI) conditions. To illustrate the effectiveness of the proposed stabilization criterion and controller design approaches, a designed numerical example is studied, and some simulations are provided.

Fuzzy optimal control for nonlinear systems with time-varying delay via sampled-data controller

2020 ◽  
Vol 24 (19) ◽  
pp. 14743-14755
Author(s):  
Zifang Qu ◽  
Zhengdi Zhang ◽  
Zhenbin Du ◽  
Tiebiao Zhao
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Time Varying ◽  
Sampled Data ◽  
Time Varying Delay ◽  
Data Controller ◽  
Varying Delay

A new approach for the optimal control of time-varying delay systems with external persistent matched disturbances

2017 ◽  
Vol 24 (19) ◽  
pp. 4505-4512 ◽  
Author(s):  
Amin Jajarmi ◽  
Mojtaba Hajipour ◽  
Dumitru Baleanu
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Necessary Optimality Conditions ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Augmented System ◽  
Varying Delay

The aim of this study is to develop an efficient iterative approach for solving a class of time-delay optimal control problems with time-varying delay and external persistent disturbances. By using the internal model principle, the original time-delay model with disturbance is first converted into an augmented system without any disturbance. Then, we select a quadratic performance index for the augmented system to form an undisturbed time-delay optimal control problem. The necessary optimality conditions are then derived in terms of a two-point boundary value problem involving advance and delay arguments. Finally, a fast iterative algorithm is designed for the latter advance-delay boundary value problem. The convergence of the new iterative technique is also investigated. Numerical simulations verify that the proposed approach is efficient and provides satisfactory results.

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