An Improved Design for PID Controller Based on Viere Theorem

2013 ◽  
Vol 303-306 ◽  
pp. 1167-1170
Author(s):  
Zhi Yi Xu ◽  
Xiang Jun Zhang ◽  
Zhen Liu
Keyword(s):  
Pid Controller ◽  
Closed Loop ◽  
Controller Design ◽  
New Method ◽  
Optimal Parameters ◽  
Closed Loop System ◽  
Pid Controller Design ◽  
Search Speed ◽  
Improved Design ◽  
The Stability

The paper proposes a new method based on the Viere theorem to decide the range containing the optimal parameters. The method can accelerate the parameters search speed on the computer and avoid some unnecessary job for PID controller design. It can be acted as a criterion to judge the stability of the closed loop system.

Chilled Water Temperature Control of HVAC System Using GPC Based Controller

2012 ◽  
Vol 151 ◽  
pp. 626-631
Author(s):  
Qiang Ma ◽  
Jian Gang Lu ◽  
Qin Min Yang ◽  
Jin Shui Chen ◽  
You Xian Sun
Keyword(s):  
Predictive Control ◽  
Pid Controller ◽  
Closed Loop ◽  
Controller Design ◽  
Simulation Environment ◽  
Closed Loop System ◽  
Satisfactory Performance ◽  
Chilled Water ◽  
The Stability ◽  
Theoretical Results

This work proposes a generalized predictive control (GPC) based controller for the temperature of HVAC chilled water supply. In this paper, several models of evaporator are firstly introduced, wherein an identified black-box model is selected for the purpose of controller design. Based on this model, a GPC based controller is employed to obtain a satisfactory performance even with the presence of disturbance. The theoretical results show the stability of the closed-loop system and the performance of this scheme is compared with that of traditional PID controller under simulation environment.

scholarly journals Pid Controller Design for Multiple Time Delays System

2021 ◽  
Vol 15 ◽  
pp. 121-127
Author(s):  
Asma Karoui ◽  
Rihem Farkh ◽  
Moufida Ksouri
Keyword(s):  
Pid Controller ◽  
Time Delays ◽  
Controller Design ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Pid Controller Design ◽  
The Stability ◽  
And Control ◽  
Time Invariant

This paper presents an approach of stabilization and control of time invariant linear system of an arbitrary order that include several time delays. In this work, the stability is ensured by PI, PD and PID controller. The method is analytical and needs the knowledge of transfer function parameters of the plant. It permits to find stability region by the determination of p K , i K and d K gains.

LMI-Based Decentralized PID Controller Design With Application to the Shape Control of Magnetic Fluid Deformable Mirrors

2010 ◽  
Author(s):  
Zhizheng Wu ◽  
Azhar Iqbal ◽  
Foued Ben Amara
Keyword(s):  
Adaptive Optics ◽  
Output Feedback ◽  
Pid Controller ◽  
Control Algorithm ◽  
Closed Loop ◽  
Controller Design ◽  
Design Method ◽  
Pid Controller Design ◽  
Static Output ◽  
Adaptive Optics System

In this paper, a decentralized robust PID controller design method is proposed for multi-input multi-output systems. The system model is first decoupled in the low frequency range, and only the diagonal entries in the DC-decoupled plant model are retained. To deal with the resulting unmodeled high frequency dynamics, a decentralized robust PID controller design method is proposed, where the robust stability and transient response performance of the resulting closed loop system are formulated as a multi-objective H∞/H2 static output feedback problem. The desired parameters of the PID controller are determined by solving a static output feedback problem using linear matrix inequalities (LMIs). Finally, the performance of the proposed control algorithm is experimentally evaluated on the adaptive optics system involving a prototype magnetic fluid deformable mirror (MFDM). The experimental results illustrate the effectiveness of the proposed control algorithm for the MFDM surface shape tracking in the closed loop adaptive optics system.

SPWM Inverter Closed-Loop PID Control System

2011 ◽  
Vol 219-220 ◽  
pp. 1367-1370 ◽  
Author(s):  
Ying Chen
Keyword(s):  
Pid Control ◽  
Pid Controller ◽  
Closed Loop ◽  
Digital Simulation ◽  
Open Loop ◽  
Current Loop ◽  
Closed Loop System ◽  
Working Principle ◽  
The Stability ◽  
Power Electronic Technology

Along with the development of power electronic technology, various inverters are widely used in all sectors. the advanced modern control theory and methods have been applied in the inverter, which made the stability and reliability for the inverter have improved greatly. In this paper analyses the working principle for SPWM inverter that used voltage and current cut-loop PID control strategy, in the voltage loop and current loop make use of its transfer function to both no-load and full load conditions for digital simulation, and get different Bode diagrams, meanwhile also analyses the different simulation results for system that without add PID controller and join PID controller, with the analyze results can determine the open-loop frequency characteristics of various parameters for the closed- loop system, and to ensure the output inverter to achieve the intended targets.

Optimal PID controller design with Kalman filter for Qball-X4 quad-rotor unmanned aerial vehicle

2016 ◽  
Vol 39 (12) ◽  
pp. 1785-1797 ◽  
Author(s):  
Feng Pan ◽  
Lu Liu ◽  
Dingyu Xue
Keyword(s):  
Mathematical Model ◽  
Kalman Filter ◽  
Unmanned Aerial Vehicle ◽  
Pid Controller ◽  
Closed Loop ◽  
Controller Design ◽  
Absolute Error ◽  
Pid Controller Design ◽  
Aerial Vehicle ◽  
Set Up

In this paper, we used a Qball-X4 quad-rotor unmanned aerial vehicle (UAV) which was developed by the Quanser Company as the experimental platform. First, a fundamental mathematical model of the Qball-X4 quad-rotor UAV was built and a simulation model was set up based on the proposed mathematical model; then, a double closed-loop optimal proportional–integral–derivative (PID) controller based on integral of time multiplied by absolute error (ITAE) indices was designed according to the model structure. In consideration of the possible system error and data delay, we designed a corresponding Kalman filter, which can estimate the target trajectory and be put before the proposed PID controller to ensure their validity. Finally, simulation results of the system with presented PID controller and Kalman filter were shown to verify their effectiveness.

scholarly journals Robust adaptive controller design for excavator arm

2019 ◽  
Vol 8 (4) ◽  
pp. 293
Author(s):  
Nga Thi-Thuy Vu
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Closed Loop System ◽  
Model Free ◽  
Lagrange Form ◽  
Robust Adaptive ◽  
The Stability ◽  
Robust Adaptive Controller

This paper presents a robust adaptive controller that does not depend on the system parameters for an excavator arm. Firstly, the model of the excavator arm is demonstrated in the Euler-Lagrange form considering with overall excavator system. Next, a robust adaptive controller has been constructed from information of state error. In this paper, the stability of overall system is mathematically proven by using Lyapunov stability theory. Also, the proposed controller is model free then the closed loop system is not affected by disturbances and uncertainties. Finally, the simulation is executed in Matlab/Simulink for both presented scheme and the PD controller under some conditions to ensure that the proposed algorithm given the good performances for all cases.

Design of Variable Structure Control with Bounded Inputs

2010 ◽  
Vol 29-32 ◽  
pp. 1175-1180
Author(s):  
Qing Kun Zhou ◽  
Sheng Jian Bai ◽  
Zhi Yong Zhang
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure ◽  
Closed Loop System ◽  
Variable Structure Systems ◽  
Structure Control ◽  
Variable Structure System ◽  
Lti System ◽  
The Stability

The design of variable structure system inputs which are constrained by saturation is studied. For a LTI system which satisfies some conditions, it is shown that appropriate bounded controllers guarantee the system’s global stability and maximize the sliding mode domain on the switching surfaces. Stability conditions of variable structure systems with constrained inputs are relaxed, and the stability of the closed-loop system is guaranteed by using passivity theory of linear passive systems. Moreover, nonlinear sliding surfaces are discussed for variable structure controller design, and a novel nonlinear switching surface is proposed. Finally, the proposed methods are applied to a 2nd order LTI system to show their usefulness.

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