scholarly journals Robust PID controller design with H2 performance: Descriptor systems approach

2019 ◽  
Vol 70 (6) ◽  
pp. 499-501
Author(s):  
Vojtech Veselý ◽  
Ladislav Körösi
Keyword(s):  
Cost Function ◽  
Pid Controller ◽  
Controller Design ◽  
Design Procedure ◽  
System Stability ◽  
Descriptor System ◽  
Quadratic Stability ◽  
Quadratic Cost ◽  
Pid Controller Design ◽  
Quadratic Cost Function

Abstract The paper deals with the problem to obtain robust PID controller design procedure to linear time invariant descriptor uncertain polytopic systems using descriptor system stability theory and H2 criterion approach in the form of quadratic cost function. In the frame of Lyapunov function, H2 quadratic cost function and Bellman-Lyapunov equation the obtained designed novel procedure guarantees the robust properties of closed-loop system with parameter dependent quadratic stability/quadratic stability. In the obtained design procedure, the designer could use controller with different structure like as P, PI, PID, PI-D. For PI-D controllers D-part feedback the designer could choose any available output/state derivative variables of real systems. The effectiveness of the obtained results is demonstrated on the randomly generated examples.

scholarly journals Robust Gain–Scheduled PID Controller Design For Uncertain LPV Systems

2015 ◽  
Vol 66 (1) ◽  
pp. 19-25 ◽  
Author(s):  
Vojtech Veselý ◽  
Adrian Ilka
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Design Procedure ◽  
Quadratic Stability ◽  
Performance Quality ◽  
Lpv Systems ◽  
Guaranteed Cost ◽  
Pid Controller Design ◽  
Parameter Dependent ◽  
Gain Scheduled

Abstract A novel methodology is proposed for robust gain-scheduled PID controller design for uncertain LPV systems. The proposed design procedure is based on the parameter-dependent quadratic stability approach. A new uncertain LPV system model has been introduced in this paper. To access the performance quality the approach of a parameter varying guaranteed cost is used which allowed to reach for different working points desired performance. Numerical examples show the benefit of the proposed method.

scholarly journals Robust switched controller design for linear continuous-time systems

2015 ◽  
Vol 25 (4) ◽  
pp. 401-416 ◽  
Author(s):  
Adrian Ilka ◽  
Vojtech Veselý
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Design Procedure ◽  
Quadratic Stability ◽  
Quadratic Cost ◽  
Novel Approach ◽  
Continuous Time Systems ◽  
Parameter Dependent ◽  
Time Systems ◽  
Quadratic Cost Function

Abstract In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.

BP Neural Network for Mobile Robot Self-Tuning PID Controller Design

2014 ◽  
Vol 898 ◽  
pp. 755-758 ◽  
Author(s):  
Wei Li ◽  
Jian Fang
Keyword(s):  
Neural Network ◽  
Mobile Robot ◽  
Bp Neural Network ◽  
Pid Controller ◽  
Controller Design ◽  
System Stability ◽  
Stabilization Control ◽  
Pid Controller Design ◽  
Self Tuning ◽  
Attitude Model

Establish the attitude model for self-designed mobile robot, According to the characteristics of nonlinear, unstable, using BP neural network method to achieve self-tuning PID parameters to make optimal parameters of the PID controller. Stabilization control of two-wheeled self-balanced robots at the same time, decrease the overshoot of the system and the number of shocks. Simulation experiments show that: Using BP neural network self-tuning PID controller improves system stability, effectiveness has been well controlled, with high practical value

scholarly journals Robust PID controller design for nonlinear systems

2018 ◽  
Vol 69 (1) ◽  
pp. 65-71 ◽  
Author(s):  
Vojtech Veselý ◽  
Ladislav Körösi
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Lyapunov Equation ◽  
Robust Controller ◽  
New Approach ◽  
Quadratic Stability ◽  
Guaranteed Cost ◽  
Pid Controller Design ◽  
Lipschitz Systems ◽  
Parameter Dependent

Abstract In this paper the new approach to the design of robust PID controller for the case of nonlinear Lipschitz systems is proposed. The proposed method is based on the uncertain gain scheduling plant model and Bellman Lyapunov equation. The designed robust controller ensures parameter dependent quadratic stability and in the frame of H2 performance guaranteed cost. Examples show the effectiveness of the proposed method.

H∞ Controllers With a PID Structure

1990 ◽  
Vol 112 (3) ◽  
pp. 325-336 ◽  
Author(s):  
M. J. Grimble
Keyword(s):  
Optimal Control ◽  
Simple Form ◽  
Pid Controller ◽  
Transfer Functions ◽  
Controller Design ◽  
Design Procedure ◽  
Control Law ◽  
Pid Controller Design ◽  
Computational Procedures ◽  
The Cost

A review is given of the new H∞ Observations Weighted (HOW) optimal control law. The conditions under which the H∞ controller has a PID structure are identified and some implications for PID controller design are discussed. The simple form of this H∞ control law makes it easy to analyse and design. Examples are presented of the design procedure which involves the specification of the cost-function weighting transfer functions. The controller may be applied in applications where fast computational procedures are important.

Digital PID Controller Design of Electromagnetic Suspension (EMS) System

2012 ◽  
Vol 590 ◽  
pp. 165-172 ◽  
Author(s):  
Anan Suebsomran
Keyword(s):  
Pid Controller ◽  
Position Control ◽  
Controller Design ◽  
Air Gap ◽  
System Stability ◽  
Operating Point ◽  
Electromagnetic Suspension ◽  
Highly Nonlinear ◽  
Digital Pid ◽  
Pid Controller Design

This paper presents the digital PID controller design of magnetic levitation application. The highly nonlinear of electromagnetic suspension (EMS) system is hardly and limited the system control subjected to prescribed stability of system. Due to the nonlinear dynamics of system, the linearization of the nonlinear EMS plant is described by linear model. An attraction force about the prescribed nominal operating point of current and air gap positioning is chosen for linearization at a nominal operating point. Such a linear system, digital PID controller is designed for controlling the EMS plant. The system stability is validated by experiment methods. From the results, the reference of air gap position can be tracked with the desired nominal operating air gap position control as shown in practical manner.

Sign in / Sign up

Export Citation Format

Share Document