Discussion: “A Simple Switching Control for Linear Systems to Assure Nonovershooting Step Responses” (Zhu, B., and Cai, K. Y., 2012, ASME J. Dyn. Syst. Meas., Control, 134, p. 034503)

2014 ◽  
Vol 136 (5) ◽  
Author(s):  
Robert Schmid
Keyword(s):  
Linear Systems ◽  
Pid Controller ◽  
State Feedback ◽  
Switching Control ◽  
Step Response ◽  
Proportional Integral Derivative ◽  
Luenberger Observer ◽  
Linear Plant ◽  
Linear State ◽  
Step Responses

This paper offers some comments on the article by Zhu and Cai (2012, “A Simple Switching Control for Linear Systems to Assure Nonovershooting Step Responses,” ASME J. Dyn. Syst. Meas., Control, 134, p. 034503). The authors offered a nonlinear switching scheme to obtain a nonovershooting step response from a linear plant, and motivated their method by showing that no linear Proportional-Integral-Derivative (PID) controller could achieve a nonovershooting response for a plant in the form of a triple integrator. In this paper, we show via an example that a linear state feedback controller in conjunction with a Luenberger observer can be found to achieve a nonovershooting response for a triple integrator.

A Distributed Luenberger Observer for Linear State Feedback Systems with Quantized and Rate-limited Communications

2020 ◽  
pp. 1-1
Author(s):  
Francisco CastroRego ◽  
Ye Pu ◽  
Andrea Alessandretti ◽  
A. Pedro Aguiar ◽  
Antonio Manuel Pascoal ◽  
...  
Keyword(s):  
State Feedback ◽  
Feedback Systems ◽  
Luenberger Observer ◽  
Linear State

scholarly journals CONTINUOUS FIREFLY ALGORITHM FOR OPTIMAL TUNING OF PID CONTROLLER IN AVR SYSTEM

2014 ◽  
Vol 65 (1) ◽  
pp. 44-49 ◽  
Author(s):  
Omar Bendjeghaba
Keyword(s):  
Pid Controller ◽  
Firefly Algorithm ◽  
Step Response ◽  
Voltage Regulator ◽  
Proportional Integral Derivative ◽  
Swarm Optimization ◽  
Response Characteristics ◽  
Tuning Method ◽  
Point Tracking ◽  
Avr System

Abstract This paper presents a tuning approach based on Continuous firefly algorithm (CFA) to obtain the proportional-integral- derivative (PID) controller parameters in Automatic Voltage Regulator system (AVR). In the tuning processes the CFA is iterated to reach the optimal or the near optimal of PID controller parameters when the main goal is to improve the AVR step response characteristics. Conducted simulations show the effectiveness and the efficiency of the proposed approach. Furthermore the proposed approach can improve the dynamic of the AVR system. Compared with particle swarm optimization (PSO), the new CFA tuning method has better control system performance in terms of time domain specifications and set-point tracking.

Semiglobal stabilization of multi-input linear systems with saturated linear state feedback

1994 ◽  
Vol 23 (4) ◽  
pp. 247-254 ◽  
Author(s):  
José Alvarez-Ramírez ◽  
Rodolfo Suárez ◽  
Jesús Alvarez
Keyword(s):  
Linear Systems ◽  
State Feedback ◽  
Linear State ◽  
Semiglobal Stabilization

scholarly journals Discrete-Time Fractional, Variable-Order PID Controller for a Plant with Delay

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 771 ◽  
Author(s):  
Piotr Oziablo ◽  
Dorota Mozyrska ◽  
Małgorzata Wyrwas
Keyword(s):  
Pid Controller ◽  
Step Response ◽  
Variable Order ◽  
Proportional Integral Derivative ◽  
Third Order ◽  
The Third ◽  
Squared Error ◽  
Unit Step ◽  
Weighted Error ◽  
Types Of Error

In this paper, we discuss the implementation and tuning algorithms of a variable-, fractional-order Proportional–Integral–Derivative (PID) controller based on Grünwald–Letnikov difference definition. All simulations are executed for the third-order plant with a delay. The results of a unit step response for all described implementations are presented in a graphical and tabular form. As the qualitative criteria, we use three different error values, which are the following: a summation of squared error (SSE), a summation of squared time weighted error (SSTE) and a summation of squared time-squared weighted error (SST2E). Besides three types of error values, obtained results are additionally evaluated on the basis of an overshoot and a rise time of the output signals achieved by systems with the designed controllers.

Guaranteed Asymptotic Output Stability for Systems With Constant Disturbances

1987 ◽  
Vol 109 (2) ◽  
pp. 186-189 ◽  
Author(s):  
W. E. Schmitendorf ◽  
B. R. Barmish
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
State Feedback ◽  
Initial Conditions ◽  
State Feedback Control ◽  
Control Law ◽  
Uncertain Parameters ◽  
Output Stability ◽  
Linear State ◽  
Parameter Values

For a class of linear systems in which there are uncertain parameters in the system and input matrices, as well as constant additive disturbances, a linear state feedback control law is derived. The only information available about the uncertain parameters is the bounding sets in which they lie. The design guarantees that the specified output approaches zero for all possible parameter values and for all initial conditions. Two examples illustrate the application of the theory.

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