Fuzzy-PID Control and its Stability Analysis of Large Time-Delay Nonlinear Systems

2013 ◽  
Vol 380-384 ◽  
pp. 413-416
Author(s):  
Yu Chi Zhao ◽  
Jing Liu
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Pid Control ◽  
Large Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Fuzzy Pid Control ◽  
Design Algorithm ◽  
Fuzzy Observer ◽  
Fuzzy Input

Aiming at a kind of state unpredictability of the fuzzy input large time-delay systems, the author designs a fuzzy observer with the application of Parallel Distributed Compensation (PDC), puts forward the PID control method based on the fuzzy observer, and provides a new sufficient condition which guarantees the asymptotic stability of fuzzy large time-delay system. With the employment of generalized Lyapunov function and linear matrix inequality, this paper proves the asymptotic stability of fuzzy input large time-delay systems and offers the separation design algorithm to control and observe gain matrix. The simulation results of the experiment further verify the effectiveness of the methods and conditions raised in this paper.

Optimal tuning of PID controller in time delay system: a review on various optimization techniques

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Thomas George ◽  
V. Ganesan
Keyword(s):  
Time Delay ◽  
Pid Control ◽  
Pid Controller ◽  
Optimization Techniques ◽  
Operating Conditions ◽  
Delay Systems ◽  
Pid Controllers ◽  
Time Delay Systems ◽  
Process Industries ◽  
First Order

AbstractThe processes which contain at least one pole at the origin are known as integrating systems. The process output varies continuously with time at certain speed when they are disturbed from the equilibrium operating point by any environment disturbance/change in input conditions and thus they are considered as non-self-regulating. In most occasions this phenomenon is very disadvantageous and dangerous. Therefore it is always a challenging task to efficient control such kind of processes. Depending upon the number of poles present at the origin and also on the location of other poles in transfer function different types of integrating systems exist. Stable first order plus time delay systems with an integrator (FOPTDI), unstable first order plus time delay systems with an integrator (UFOPTDI), pure integrating plus time delay (PIPTD) systems and double integrating plus time delay (DIPTD) systems are the classifications of integrating systems. By using a well-controlled positioning stage the advances in micro and nano metrology are inevitable in order satisfy the need to maintain the product quality of miniaturized components. As proportional-integral-derivative (PID) controllers are very simple to tune, easy to understand and robust in control they are widely implemented in many of the chemical process industries. In industries this PID control is the most common control algorithm used and also this has been universally accepted in industrial control. In a wide range of operating conditions the popularity of PID controllers can be attributed partly to their robust performance and partly to their functional simplicity which allows engineers to operate them in a simple, straight forward manner. One of the accepted control algorithms by the process industries is the PID control. However, in order to accomplish high precision positioning performance and to build a robust controller tuning of the key parameters in a PID controller is most inevitable. Therefore, for PID controllers many tuning methods are proposed. the main factors that lead to lifetime reduction in gain loss of PID parameters are described in This paper and also the main methods used for gain tuning based on optimization approach analysis is reviewed. The advantages and disadvantages of each one are outlined and some future directions for research are analyzed.

Asymptotic stability analysis and model reduction for spatially interconnected time-delay systems

2020 ◽  
Vol 357 (17) ◽  
pp. 12670-12699
Author(s):  
Hui Wang ◽  
Huiling Xu ◽  
Xiaokai Zhai ◽  
Xuefeng Chen ◽  
Zhiping Lin
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Asymptotic Stability ◽  
Model Reduction ◽  
Delay Systems ◽  
Time Delay Systems

PID CONTROL OF UNSTABLE TIME DELAY SYSTEMS

1997 ◽  
Vol 162 (1) ◽  
pp. 63-74 ◽  
Author(s):  
C. CLEMENT VALENTINE ◽  
M. CHIDAMBARAM
Keyword(s):  
Time Delay ◽  
Pid Control ◽  
Delay Systems ◽  
Time Delay Systems

Auto Disturbance Rejection Control for Nonlinear Time-Delay Systems

2013 ◽  
Vol 278-280 ◽  
pp. 1547-1550
Author(s):  
Quan Cheng Gong ◽  
Ya Feng Wu
Keyword(s):  
Time Delay ◽  
Pid Control ◽  
Disturbance Rejection ◽  
Delay Systems ◽  
Water Tank ◽  
Control Technology ◽  
Time Delay Systems ◽  
Static Error ◽  
Disturbance Rejection Control ◽  
Nonlinear Object

For some nonlinear complex control objects, conventional PID control is not able to obtain satisfactory control characteristics because of its inherent defaults. As a new controller based on PID control technology, auto disturbances rejection control(ADRC) breaks through the limitation of the former technology, at the same time maintains its advantages. In this paper, these two methods are used for nonlinear object −−two-step water tank respectively. Simulation and application results prove that ADRC controller works with better adaptability and robustness when controlling the nonlinear time-delay object, and is easier to achieve the control of no-overshoot and no-static-error.

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