Design of Reset Control Systems: The PI + CI Compensator

2012 ◽  
Vol 134 (5) ◽  
Author(s):  
Alfonso Baños ◽  
Angel Vidal
Keyword(s):  
Control Systems ◽  
Dynamic Systems ◽  
Closed Loop ◽  
Dead Time ◽  
Nonlinear Characteristic ◽  
Integral Term ◽  
Wide Range ◽  
Reset Control ◽  
Time Invariant ◽  
Time Systems

Reset compensation has been used to overcome limitations of linear and time invariant (LTI) compensation. In this work, a new reset compensator, referred to as proportional and integral (PI) + CI (Clegg integrator), is introduced. It basically consists of adding a Clegg integrator to a PI compensator, with the goal of improving the closed loop response by using the nonlinear characteristic of this element. It turns out that by resetting a percentage of the integral term in a PI compensator, a significant improvement can be obtained over a well-tuned PI compensator in some relevant practical cases, such as systems with dominant lag and integrating systems. The work is devoted to the development of PI + CI tuning rules for basic dynamic systems in a wide range of applications, including first and higher order plus dead time systems.

Analysis of Reset Control Systems Consisting of a FORE and Second-Order Loop1

2001 ◽  
Vol 123 (2) ◽  
pp. 279-283 ◽  
Author(s):  
Qian Chen ◽  
Yossi Chait ◽  
C. V. Hollot
Keyword(s):  
Control Systems ◽  
Closed Loop ◽  
Second Order ◽  
Step Response ◽  
Steady State Response ◽  
First Order ◽  
State Response ◽  
Loop Transfer Function ◽  
Performance Specifications ◽  
Reset Control

Reset controllers consist of two parts—a linear compensator and a reset element. The linear compensator is designed, in the usual ways, to meet all closed-loop performance specifications while relaxing the overshoot constraint. Then, the reset element is chosen to meet this remaining step-response specification. In this paper, we consider the case when such linear compensation results in a second-order (loop) transfer function and where a first-order reset element (FORE) is employed. We analyze the closed-loop reset control system addressing performance issues such as stability, steady-state response, and transient performance.

scholarly journals Analytical Tuning Method of MPC Controllers for MIMO First-Order Plus Fractional Dead Time Systems

Processes ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 212
Author(s):  
Ning He ◽  
Yichun Jiang ◽  
Lile He
Keyword(s):  
Predictive Control ◽  
Closed Loop ◽  
Dead Time ◽  
Pole Placement ◽  
Closed Loop System ◽  
Placement Problem ◽  
First Order ◽  
Tuning Method ◽  
Domain Performance ◽  
Time Systems

An analytical model predictive control (MPC) tuning method for multivariable first-order plus fractional dead time systems is presented in this paper. First, the decoupling condition of the closed-loop system is derived, based on which the considered multivariable MPC tuning problem is simplified to a pole placement problem. Given such a simplification, an analytical tuning method guaranteeing the closed-loop stability as well as pre-specified time-domain performance is developed. Finally, simulation examples are provided to show the effectiveness of the proposed method.

Closed-loop control of dead time systems via sequential sub-predictors

2013 ◽  
Vol 86 (4) ◽  
pp. 599-609 ◽  
Author(s):  
Majdeddin Najafi ◽  
Saeed Hosseinnia ◽  
Farid Sheikholeslam ◽  
Mohammad Karimadini
Keyword(s):  
Closed Loop ◽  
Dead Time ◽  
Closed Loop Control ◽  
Loop Control ◽  
Time Systems

Sensitivity Reduction by State Derivative Feedback

1988 ◽  
Vol 110 (1) ◽  
pp. 84-93 ◽  
Author(s):  
A. Haraldsdottir ◽  
P. T. Kabamba ◽  
A. G. Ulsoy
Keyword(s):  
Closed Loop ◽  
Design Procedure ◽  
State Feedback Control ◽  
Original Design ◽  
Stability Robustness ◽  
Sensitivity Indices ◽  
Feedback Control Systems ◽  
Response Amplification ◽  
Time Invariant ◽  
Time Systems

This paper shows that the sensitivity of state feedback control systems can be reduced by additional state derivative feedback, for a fixed closed loop eigenstructure. The price of this sensitivity reduction is in general noise response amplification. Two indices which quantify stability robustness and response sensitivity are given for time invariant continuous time and discrete time systems, together with an index of response to disturbances and noise. Closed form expressions for the gradients of these indices are given. A two step design procedure is proposed which consists of first selecting a closed loop eigenstructure, then minimizing one of the sensitivity indices under a magnitude constraint on the noise response. Examples are given to illustrate this original design procedure.

scholarly journals Well-Posedness of Reset Control Systems as State-Dependent Impulsive Dynamical Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Alfonso Baños ◽  
Juan I. Mulero
Keyword(s):  
Control Systems ◽  
Dynamic Systems ◽  
Well Posedness ◽  
Sufficient Condition ◽  
Uniqueness Of Solutions ◽  
State Dependent ◽  
Starting Point ◽  
Definition Of ◽  
Reset Control ◽  
Well Posed

Reset control systems are a special type of state-dependent impulsive dynamic systems, in which the time evolution depends both on continuous dynamics between resets and the discrete dynamics corresponding to the resetting times. This work is devoted to investigate well-posedness of reset control systems, taking as starting point the classical definition of Clegg and Horowitz. Well-posedness is related to the existence and uniqueness of solutions, and in particular to the resetting times to be well defined and distinct. A sufficient condition is developed for a reset system to have well-posed resetting times, which is also a sufficient condition for avoiding Zeno solutions and, thus, for a reset control system to be well-posed.

scholarly journals Robust Control System Design for Small UAV Using H2-Optimization

2018 ◽  
Vol 23 (2) ◽  
pp. 151-159
Author(s):  
Róbert Szabolcsi
Keyword(s):  
Control System ◽  
Control Systems ◽  
Closed Loop ◽  
Closed Loop Control ◽  
Worst Case ◽  
Loop Control ◽  
Closed Loop Control System ◽  
Wide Range ◽  
Loop Control System ◽  
Dynamic Performances

Abstract Unmanned aerial vehicles are famous for their wide range of applications. In D3 (Dirty-Dull-Dangerous) UAV applications flight conditions may vary on large scale. External disturbances like atmospheric turbulences and gusts may be subjected to UAV, and as a result, UAV flight mission might be conducted with high level of the degradation of the accuracy. Sensor noises are also present, and theirs negligence might lead to improper dynamic performances of the closed loop control systems. Uncertainties of the control systems being structured or unstructured may tend the closed loop control system to stability bounds. In worst case, uncertainties may destabilize closed loop control systems. The purpose of the author is to present a robust controller design method called H2-optimal design ensuring stability of the closed loop control systems with simultaneous dynamic performances predefined for the closed loop control system.

scholarly journals Relative stability analysis of closed-loop SISO dead-time systems: non-imaginary axis case

2011 ◽  
Vol 34 (4) ◽  
pp. 411-421 ◽  
Author(s):  
Suat Gumussoy
Keyword(s):  
Relative Stability ◽  
Imaginary Axis ◽  
Closed Loop ◽  
Dead Time ◽  
Stability Boundary ◽  
Boundary Crossing ◽  
Single Input Single Output ◽  
Characteristic Roots ◽  
Single Output ◽  
Time Systems

We present a numerical method to analyse the relative stability of closed-loop single-input–single-output (SISO) dead-time systems on a given left complex half-plane for all positive delays. The well-known boundary crossing method for the imaginary axis is extended to a given vertical line stability boundary in the complex plane for these types of systems. The method allows us to compute the characteristic roots crossing the relative stability boundary and their corresponding delays up to a maximum predefined delay. Based on this method, we analyse the relative stability of the closed-loop system for all positive delays. Both numerical methods are effective for high-order SISO dead-time systems.

Precision and bias in quantitative EDS: ASTM results

1992 ◽  
Vol 50 (2) ◽  
pp. 1654-1655
Author(s):  
John J. Friel
Keyword(s):  
Stainless Steel ◽  
Quantitative Analysis ◽  
Mechanical Alloy ◽  
Dead Time ◽  
Test Program ◽  
Round Robin Test ◽  
Wide Range ◽  
American Society ◽  
Takeoff Angle ◽  
Standardless Analysis

Committee E-04 on Metallography of the American Society for Testing and Materials (ASTM) conducted an interlaboratory round robin test program on quantitative energy dispersive spectroscopy (EDS). The test program was designed to produce data on which to base a precision and bias statement for quantitative analysis by EDS. Nine laboratories were sent specimens of two well characterized materials, a type 308 stainless steel, and a complex mechanical alloy from Inco Alloys International, Inconel® MA 6000. The stainless steel was chosen as an example of a straightforward analysis with no special problems. The mechanical alloy was selected because elements were present in a wide range of concentrations; K, L, and M lines were involved; and Ta was severely overlapped with W. The test aimed to establish limits of precision that could be routinely achieved by capable laboratories operating under real world conditions. The participants were first allowed to use their own best procedures, but later were instructed to repeat the analysis using specified conditions: 20 kV accelerating voltage, 200s live time, ∼25% dead time and ∼40° takeoff angle. They were also asked to run a standardless analysis.

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