An application of Newton-like algorithm for H∞ proportional–integral–derivative controller synthesis of seesaw-cart system

2021 ◽  
pp. 014233122110638
Author(s):  
Vladimir Milic ◽  
Srecko Arandia-Kresic ◽  
Mihael Lobrovic
Keyword(s):  
Pid Controller ◽  
Optimality Criterion ◽  
Controller Synthesis ◽  
Laboratory Model ◽  
Linear Matrix ◽  
Proportional Integral Derivative ◽  
Backpropagation Algorithm ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral ◽  
Standard Linear

This paper is concerned with the synthesis of proportional–integral–derivative (PID) controller according to the [Formula: see text] optimality criterion for seesaw-cart system. The equations of dynamics are obtained through modelling a seesaw-cart system actuated by direct-current motor via rack and pinion mechanism using the Euler–Lagrange approach. The obtained model is linearised and synthesis of the PID controller for linear model is performed. An algorithm based on the sub-gradient method, the Newton method, the self-adapting backpropagation algorithm and the Adams method is proposed to calculate the PID controller gains. The proposed control strategy is tested and compared with standard linear matrix inequality (LMI)-based method on computer simulations and experimentally on a laboratory model.

Study and Realization of a Prototype Octocopter System with PID Controller

2018 ◽  
Vol 10 (4) ◽  
Author(s):  
Saidi Hemza ◽  
Djebri Boualem
Keyword(s):  
Dynamic Model ◽  
Pid Controller ◽  
External Environment ◽  
Lagrangian Model ◽  
System Dynamic Model ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral ◽  
Euler Model ◽  
Electrical Components

In this work, the mechanical and electrical components are designed and realised for an octocopter. The designed system dynamic model is supported with Euler-Lagrangian model and Newton-Euler model respectively for the rotational and transnational movements of the drone. The prototype octocopter is also equipped with a proportional integral derivative controller to feedback both location and respond to the external environment.

Delay margin computation of generator excitation control system by using fractional order controller

2020 ◽  
Vol 42 (13) ◽  
pp. 2465-2474
Author(s):  
Halil Erol
Keyword(s):  
Control System ◽  
Time Delay ◽  
Fractional Order ◽  
Pid Controller ◽  
Excitation Control ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral ◽  
Generator Excitation Control ◽  
Delay Margin

This article is devoted to stability analysis of generator excitation control system that has some time delay with fractional order proportional integral derivative controller by using direct method. When the time delay exceeds certain critical values, the excitation control system becomes unstable. In order to obtain more delay margin, in control part of the system, fractional order proportional integral derivative controller is used. A formulation is obtained to find out the maximum time delay which is known as delay margin with which the system can tolerate without any loss in its stability. All the possible stability regions analytically in the parametric space of the time delay is obtained by using an exact method and it is presented in this study. The method is formulated in frequency domain. The time-domain simulations are implemented to validate theoretical delay margin results in Matlab/Simulink. When it is compared with previous researches in literature, better stability margin is obtained. The results have shown that fractional order PID controller gives wide stability area than integer order PID controller.

Two-degree-of-freedom multi-input multi-output proportional–integral–derivative control design: Application to quadruple-tank system

2018 ◽  
Vol 233 (3) ◽  
pp. 303-319
Author(s):  
Jatin Kumar Pradhan ◽  
Arun Ghosh ◽  
Chandrashekhar Narayan Bhende
Keyword(s):  
State Feedback ◽  
Control Design ◽  
Linear Quadratic Regulator ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Matrix Inequality ◽  
Proportional Integral Derivative ◽  
Linear Quadratic ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral

This article is concerned with designing a 2-degree-of-freedom multi-input multi-output proportional–integral–derivative controller to ensure linear quadratic regulator performance and H∞ performance using a non-iterative linear matrix inequality–based method. To design the controller, first, a relation between the state feedback gain and proportional–integral–derivative gain is obtained. As the gains of proportional–integral–derivative controller cannot, in general, be found out from this relation for arbitrary stabilizing state feedback gain, a suitable form of the matrices involved in linear matrix inequality–based state feedback design is then chosen to obtain the proportional–integral–derivative gains directly. The special structure of the above matrices allows one to design proportional–integral–derivative controller in non-iterative manner. As a result, multi-objective performances, such as linear quadratic regulator and H∞, can be achieved simultaneously without increasing the computational burden much. To enhance the reference-input-to-output characteristics, a feedforward gain is also introduced and designed to minimize certain closed-loop H∞ performance. The proposed control design method is applied for multi-input multi-output proportional–integral compensation of a laboratory-based quadruple-tank process. The performance of the compensation is studied through extensive simulations and experiments.

PERANCANGAN UJI SIRIP ROKET BAGIAN AILERON DENGAN MENGGUNAKAN KONTROL PID

2018 ◽  
Vol 14 (1) ◽  
pp. 1-11
Author(s):  
Galih Irfan Firdaus
Keyword(s):  
Proportional Integral Derivative ◽  
Accelerometer Sensor ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral

Roket merupakan sebuah peluru kendali atau suatu kendaraan terbang yang mendapatkan dorongan melalui reaksi roket secara cepat dengan bahan fluida dari keluaran mesin roket. Sistem Kendali Sirip Roket berbasis Mikrokontroller ATmega8 berguna untuk mengendalikan sirip roket khususnya bagian aileron.  Dibutuhkan komponen – komponen pendukung berupa Sensor Accelerometer, Sensor Gyroscope, ATmega8 dan Motor Servo. Alat pengendali sirip roket ini dapat digunakan untuk mengendalikan sirip roket bagian aileron pada saat posisi roket tidak stabil atau terjadi gerakan naik turun pada saat setelah diluncurkan, sehingga dapat menghasilkan penerbangan yang maksimal dalam mencapai sasaran.Perancangan yang  digunakan adalah jenis pengendalian dengan kontrol PID. PID (Proportional Integral Derivative controller) merupakan kontroller untuk menentukan presisi suatu sistem instrumentasi dengan karakteristik adanya umpan balik pada sistem tesebut. Pengontrol PID adalah pengontrol konvensional yang banyak dipakai dalam dunia industri. Karakteristik pengontrol PID sangat dipengaruhi oleh kontribusi besar dari ketiga parameter P, I dan D. Pemilihan konstanta Kp, Ki dan Kd akan mengakibatkan penonjolan sifat dari masing-masing elemen. Dalam perancangan sebuah sistem kendali menggunakan kontroller PID pada motor servo yang diharapkan mampu menggerakkan sirip naik dan sirip turun pada roket sehingga mampu menjaga kestabilan roket saat diluncurkan. Prosentase error pada proyek akhir ini adalah 0,5 %.Roket merupakan sebuah peluru kendali atau suatu kendaraan terbang yang mendapatkan dorongan melalui reaksi roket secara cepat dengan bahan fluida dari keluaran mesin roket. Sistem Kendali Sirip Roket berbasis Mikrokontroller ATmega8 berguna untuk mengendalikan sirip roket khususnya bagian aileron.  Dibutuhkan komponen – komponen pendukung berupa Sensor Accelerometer, Sensor Gyroscope, ATmega8 dan Motor Servo. Alat pengendali sirip roket ini dapat digunakan untuk mengendalikan sirip roket bagian aileron pada saat posisi roket tidak stabil atau terjadi gerakan naik turun pada saat setelah diluncurkan, sehingga dapat menghasilkan penerbangan yang maksimal dalam mencapai sasaran.Perancangan yang  digunakan adalah jenis pengendalian dengan kontrol PID. PID (Proportional Integral Derivative controller) merupakan kontroller untuk menentukan presisi suatu sistem instrumentasi dengan karakteristik adanya umpan balik pada sistem tesebut. Pengontrol PID adalah pengontrol konvensional yang banyak dipakai dalam dunia industri. Karakteristik pengontrol PID sangat dipengaruhi oleh kontribusi besar dari ketiga parameter P, I dan D. Pemilihan konstanta Kp, Ki dan Kd akan mengakibatkan penonjolan sifat dari masing-masing elemen. Dalam perancangan sebuah sistem kendali menggunakan kontroller PID pada motor servo yang diharapkan mampu menggerakkan sirip naik dan sirip turun pada roket sehingga mampu menjaga kestabilan roket saat diluncurkan. Prosentase error pada proyek akhir ini adalah 0,5 %.

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