Optimizing the Feedback Gains of the Robust Linear Regulator

1999 ◽  
Vol 121 (3) ◽  
pp. 346-350
Author(s):  
Jie Huang
Keyword(s):  
Computer Simulation ◽  
Steady State ◽  
Transient Response ◽  
Closed Loop ◽  
Feedback Gain ◽  
Frobenius Norm ◽  
Closed Loop System ◽  
Optimal Feedback ◽  
Linear Regulator ◽  
Fixed Set

This paper aims to improve the transient response of a linear regulator system by optimizing the feedback gains associated with a fixed set of desirable eigenvalues of the closed-loop system. The optimal feedback gain is such that the Frobenius norm of the steady state of the compensator is minimized. Computer simulation shows that this scheme is effective in improving the transient response of the regulator system.

A Note on Pole Placement of Mechanical Systems

1991 ◽  
Vol 113 (3) ◽  
pp. 420-421 ◽  
Author(s):  
C. Minas ◽  
D. J. Inman
Keyword(s):  
Least Squares ◽  
Canonical Form ◽  
Output Feedback ◽  
Closed Loop ◽  
Weighted Least Squares ◽  
Mechanical Systems ◽  
Pole Placement ◽  
Feedback Gain ◽  
Closed Loop System ◽  
Feedback Method

An output feedback method is developed, that systematically places a desired number of poles of a closed-loop system at or near desired locations. The system is transformed to its equivalent controllable canonical form, where the output feedback gain matrix is calculated in a weighted least squares scheme, that minimizes the change of the remaining modes of the system. The advantage of this method over other pole placement routines is the fact that the influence on the remaining unplaced modes of the system is minimum, which is particularly important in preserving closed-loop stability.

scholarly journals Finite Sample Properties for Closed Loop System Identification

2021 ◽  
Vol 20 ◽  
pp. 157-169
Author(s):  
Wang Jianhong ◽  
Chen Peng ◽  
Ricardo A. Ramirez-Mendoza
Keyword(s):  
System Identification ◽  
Asymptotic Analysis ◽  
Closed Loop ◽  
Feedback Controller ◽  
Loop System ◽  
Finite Sample ◽  
Closed Loop System ◽  
Optimal Feedback ◽  
Identification Criterion ◽  
Finite Sample Properties

In this paper, after closed loop system identification is reviewed, asymptotic analysis and finite sample analysis for closed loop system identification are studied respectively, corresponding to the infinite data and finite data. More specifically, within the framework of infinite data, the cost function is modified to its simplified form, and one optimal feedback controller is obtained based on our own derivations. The simplified cost function and optimal feedback controller are benefit for practical application. Furthermore, the asymptotic variance of that optimal feedback controller is also yielded from the point of asymptotic analysis. In the case of finite data, finite sample properties are constructed for closed loop system identification, then one difference between the sampled identification criterion and its corresponding expected criterion is derived as an explicit form, which can bound one guaranteed interval for the sampled identification criterion. Finally, one simulation example is used to prove the efficiency of our proposed theories.

scholarly journals Time-Delayed Feedback Control of a Hydraulic Model Governed by a Diffusive Wave System

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Boumediène Chentouf ◽  
Nejib Smaoui
Keyword(s):  
Flow Control ◽  
Closed Loop ◽  
Semigroup Theory ◽  
Loop System ◽  
Delayed Feedback Control ◽  
Feedback Gain ◽  
Wave System ◽  
Closed Loop System ◽  
Decay Of Solutions ◽  
Time Delayed Feedback

This paper is concerned with the feedback flow control of an open-channel hydraulic system modeled by a diffusive wave equation with delay. Firstly, we put forward a feedback flow control subject to the action of a constant time delay. Thereafter, we invoke semigroup theory to substantiate that the closed-loop system has a unique solution in an energy space. Subsequently, we deal with the eigenvalue problem of the system. More importantly, exponential decay of solutions of the closed-loop system is derived provided that the feedback gain of the control is bounded. Finally, the theoretical findings are validated via a set of numerical results.

scholarly journals Constrained Uncertain System Stabilization with Enlargement of Invariant Sets

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Walid Hamdi ◽  
Wissal Bey ◽  
Naceur Benhadj Braiek
Keyword(s):  
Closed Loop ◽  
Uncertain System ◽  
Loop System ◽  
Invariant Sets ◽  
Feedback Gain ◽  
Closed Loop System ◽  
Control Laws ◽  
Robust Model Predictive Control ◽  
Robust Model ◽  
Polyhedral Set

An enhanced method able to perform accurate stability of constrained uncertain systems is presented. The main objective of this method is to compute a sequence of feedback control laws which stabilizes the closed-loop system. The proposed approach is based on robust model predictive control (RMPC) and enhanced maximized sets algorithm (EMSA), which are applied to improve the performance of the closed-loop system and achieve less conservative results. In fact, the proposed approach is split into two parts. The first is a method of enhanced maximized ellipsoidal invariant sets (EMES) based on a semidefinite programming problem. The second is an enhanced maximized polyhedral set (EMPS) which consists of appending new vertices to their convex hull to minimize the distance between each new vertex and the polyhedral set vertices to ensure state constraints. Simulation results on two examples, an uncertain nonisothermal CSTR and an angular positioning system, demonstrate the effectiveness of the proposed methodology when compared to other works related to a similar subject. According to the performance evaluation, we recorded higher feedback gain provided by smallest maximized invariant sets compared to recently studied methods, which shows the best region of stability. Therefore, the proposed algorithm can achieve less conservative results.

scholarly journals Implementation of non-isolated three-port converter through augmented time response

2021 ◽  
Vol 12 (2) ◽  
pp. 913
Author(s):  
Ramya Devasahayam ◽  
Godwin Immanuel D
Keyword(s):  
Steady State ◽  
Time Domain ◽  
Closed Loop ◽  
High Gain ◽  
Pi Controller ◽  
Time Response ◽  
Voltage Gain ◽  
Closed Loop System ◽  
Time Domain Response ◽  
Fast Responses

<p><span lang="EN-US">The work is concerning a multi-port dc-dc converter with improved time response and steady state output. Here the converter carries bare amount of switches for managing the power with mono inductance. The inductance and along with that the switched capacitance are pre owned to bring large voltage gain. This paper put forwarded an appropriate controller for the closed loop monitored high-gain converter with three ports. Higher is that the conversion rate. This converter is also a good interface between DC-source and load that aims to progressing time response with FLC and PI controller in the closed loop system. The converter with the PI controller and FLC is look over and the fast responses are compared with time domain specifications. The simulation outcome indicates that the FLC based converter brings most excellent time domain response.</span></p>

The Research of PID and Bang-Bang Controllers Based on the dSPACE

2013 ◽  
Vol 416-417 ◽  
pp. 486-491
Author(s):  
Yi Jiang ◽  
Jien Ma
Keyword(s):  
Steady State ◽  
Dynamic Response ◽  
Real Time ◽  
Closed Loop ◽  
Control Methods ◽  
Closed Loop System ◽  
Brushless Dc ◽  
Dc Drive ◽  
Bang Bang Control ◽  
Steady State Performance

This paper analyzes the PID and the Bang-Bang control methods. To compare the performance of these traditional algorithms, the speed control of a brushless DC drive system is implemented in real-time, using these two methods. The parameters in the controller can be adjusted by the hardware and the software to achieve the optimum performance of the closed-loop system. The experiment results proved that these two controllers have their own merit and defect according to the different steady-state performance and dynamic response respectively. It is concluded that the PID and the Bang-Bang controllers could be used in different applications.

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