Analysis and Control Design for a Class of Fractional Order Time-Delay Systems

In this paper, we consider a class of fractional order time-delay systems and propose a fractional order control design for their stabilization. The controller parameter’s adjustment is achieved in two steps: first, the relay approach is used to compute satisfactory classical PID coefficients, namely kp, Ti and Td. Then, the fractional orders ʎ and µ are optimized using performance criteria. Simulation results show the efficiency of the proposed design technique and its ability to enhance the PID control performance.

Download Full-text

Fractional Order PIλDµ Control Design for a Class of Cyber-Physical Systems with Fractional Order Time-Delay models

International Journal of Cyber-Physical Systems ◽

10.4018/ijcps.2019070101 ◽

2019 ◽

Vol 1 (2) ◽

pp. 1-18

Author(s):

Marwa Boudana ◽

Samir Ladaci ◽

Jean-Jacques Loiseau

Keyword(s):

Time Delay ◽

Fractional Order ◽

Control Design ◽

Cyber Physical Systems ◽

Performance Criteria ◽

Delay Systems ◽

Time Delay Systems ◽

Physical Systems ◽

System Configurations ◽

And Control

The control of cyber-physical systems (CPS) is a great challenge for researchers in control theory and engineering mainly because of delays induced by merging computation, communication, and control of physical processes. Consequently, control solutions for time-delay systems can be applied efficiently for many CPS system configurations. In this article, a fractional order PIλ and PIλDµ control design is investigated for a class of fractional order time-delay systems. The proposed control design approach is simple and efficient. The controller parameter's adjustment is achieved in two steps: first, the relay approach is used to compute satisfactory classical PID coefficients, namely kp, Ti and Td. Then, the fractional orders λ and µ are optimized using performance criteria. Simulation results show the efficiency of the proposed design technique and its ability to enhance the PID control performance.

Download Full-text

Implicit Lyapunov-Krasovski Functionals for Stability Analysis and Control Design of Time-Delay Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2015.2422451 ◽

2015 ◽

Vol 60 (12) ◽

pp. 3344-3349 ◽

Cited By ~ 17

Author(s):

Andrey Polyakov ◽

Denis Efimov ◽

Wilfrid Perruquetti ◽

J-P. Richard

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Control Design ◽

Delay Systems ◽

Time Delay Systems ◽

And Control

Download Full-text

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

Chemical Product and Process Modeling ◽

10.1515/cppm-2020-2001 ◽

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.

Download Full-text