scholarly journals A Nonlinear State Feedback for DC/DC Boost Converters

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
O. Gehan ◽  
E. Pigeon ◽  
T. Menard ◽  
M. Pouliquen ◽  
H. Gualous ◽  
...  
Keyword(s):  
State Feedback ◽  
High Gain ◽  
Stability And Convergence ◽  
Design Parameters ◽  
Robust Controller ◽  
Boost Converters ◽  
Control Approach ◽  
Integral Action ◽  
The Stability ◽  
Nonlinear State

This paper investigates the control problem for static boost type converters using a high gain state feedback robust controller incorporating an integral action. The robust feature allows to achieve the required performance in the presence of parametric uncertainties, while the integral action provides an offset free performance with respect to the desired levels of voltage. The adopted high gain approach is motivated by both fundamental as well as practical considerations, namely the underlying fundamental potential and the design parameter specification simplicity. The stability and convergence analysis has been carried out using an adequate Lyapunov approach, and the control system calibration is achieved throughout a few design parameters which are closely related to the desired dynamical performances. The effectiveness of the proposed control approach has been corroborated by numerical simulations and probing experimental results.

Design of an adaptive neuro-observer-based feedback controller for high-speed trains with parametric uncertainties

2018 ◽  
Vol 233 (8) ◽  
pp. 765-782
Author(s):  
Meera Patel ◽  
Bhanu Pratap
Keyword(s):  
High Speed ◽  
Upper Bounds ◽  
Formal Proof ◽  
Adaptive Observer ◽  
Stability And Convergence ◽  
Design Parameters ◽  
High Speed Train ◽  
Feedback Form ◽  
Dynamic Surface ◽  
Control Approach

An adaptive observer-based controller design for the nonlinear model of a high-speed train is demonstrated in this paper. A high-speed train belongs to the class of multivariable and coupled dynamic system with a higher degree of nonlinearities and uncertainties. The radial basis function neural network is used for the approximation of these nonlinearities and uncertainties. Using this approximation, an adaptive neuro-observer is designed for the estimation of the unavailable states of the high-speed train for measurement. Using one-to-one nonlinear mapping, the high-speed train plant and the adaptive neuro-observer are remodelled in a pure feedback form without any constraints on states. On the basis of the adaptive neuro-observer, an adaptive dynamic surface controller is designed for the high-speed train system. The upper bounds of the actual controller gains of the high-speed train need not be known whereas the lower and upper bounds of the virtual controller gain require prior knowledge. The tuning of the design parameters has been done online in the proposed observer/controller. The closed-loop stability and convergence have been analysed through a formal proof based on the Lyapunov approach. The enhanced performance of the high-speed train with the proposed controller is compared with the backstepping control approach and demonstrated using simulation studies.

scholarly journals Collective Stability of Networks of Winner-Take-All Circuits

2011 ◽  
Vol 23 (3) ◽  
pp. 735-773 ◽  
Author(s):  
Ueli Rutishauser ◽  
Rodney J. Douglas ◽  
Jean-Jacques Slotine
Keyword(s):  
High Gain ◽  
Stability And Convergence ◽  
Signal Restoration ◽  
State Dependent ◽  
Inhibitory Feedback ◽  
The Stability ◽  
Parameter Ranges ◽  
Winner Take All ◽  
Contraction Theory ◽  
Take All

The neocortex has a remarkably uniform neuronal organization, suggesting that common principles of processing are employed throughout its extent. In particular, the patterns of connectivity observed in the superficial layers of the visual cortex are consistent with the recurrent excitation and inhibitory feedback required for cooperative-competitive circuits such as the soft winner-take-all (WTA). WTA circuits offer interesting computational properties such as selective amplification, signal restoration, and decision making. But these properties depend on the signal gain derived from positive feedback, and so there is a critical trade-off between providing feedback strong enough to support the sophisticated computations while maintaining overall circuit stability. The issue of stability is all the more intriguing when one considers that the WTAs are expected to be densely distributed through the superficial layers and that they are at least partially interconnected. We consider how to reason about stability in very large distributed networks of such circuits. We approach this problem by approximating the regular cortical architecture as many interconnected cooperative-competitive modules. We demonstrate that by properly understanding the behavior of this small computational module, one can reason over the stability and convergence of very large networks composed of these modules. We obtain parameter ranges in which the WTA circuit operates in a high-gain regime, is stable, and can be aggregated arbitrarily to form large, stable networks. We use nonlinear contraction theory to establish conditions for stability in the fully nonlinear case and verify these solutions using numerical simulations. The derived bounds allow modes of operation in which the WTA network is multistable and exhibits state-dependent persistent activities. Our approach is sufficiently general to reason systematically about the stability of any network, biological or technological, composed of networks of small modules that express competition through shared inhibition.

A PD Robust Controller Design and Simulation Based on Two-Link Manipulator under Given Upper Bound Disturbance

2012 ◽  
Vol 503-504 ◽  
pp. 1540-1544
Author(s):  
Ji Yan Wang ◽  
Yu Xia Zhuang
Keyword(s):  
Upper Bound ◽  
Controller Design ◽  
Robot Manipulator ◽  
Industrial Robot ◽  
Stability And Convergence ◽  
Robust Controller ◽  
Simulation Based ◽  
The Stability ◽  
Driving Torque ◽  
Robust Controller Design

For industrial robot manipulator system, PD control theory is extensively used in the dynamic characteristics controlling. A PD robust controller is introduced to optimize the stability and convergence of traditional PD controller and avoid excess initial driving torque for two-link industrial manipulator system. By the co-simulation on ADAMS and Matlab/ Simulink, the paper designs a PD robust controller under given upper bound disturbance and completes track control and driving torque trial. Through result comparison and analysis, the superiority of the PD robust controller for two-link manipulator is verified.

scholarly journals Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Mahmoud Tarokh
Keyword(s):  
Feedback Control ◽  
Inverse Problems ◽  
Control Systems ◽  
Stability And Convergence ◽  
Science And Engineering ◽  
New Approach ◽  
Control Approach ◽  
Highly Nonlinear ◽  
Feedback Control Systems ◽  
The Stability

Inverse problems have applications in many branches of science and engineering. In this paper we propose a new approach to solving inverse problems which is based on using concepts from feedback control systems to determine the inverse of highly nonlinear, discontinuous, and ill-conditioned input-output relationships. The method uses elements from least squares solutions that are formed within a control loop. The stability and convergence of the inverse solution are established. Several examples demonstrate the applicability of the proposed method.

Adaptive State Feedback to Maximize the Power Capture and Reduce the Tower Motion of Wind Turbine in Partial Loading Operation

2015 ◽  
Author(s):  
Kaman Thapa Magar ◽  
Mark J. Balas
Keyword(s):  
Wind Speed ◽  
Wind Turbine ◽  
State Feedback ◽  
Tracking Error ◽  
Adaptive Controller ◽  
Stability And Convergence ◽  
Speed Ratio ◽  
Rotor Speed ◽  
Control Approach ◽  
Tip Speed Ratio

A direct adaptive control approach is used to track the tip speed ratio of wind turbine to maximize the power captured during the below rated wind speed operation. Assuming a known optimum value of tip speed ratio, the deviation of actual tip speed ratio from the optimum one is mathematically expressed as tip speed ratio tracking error. Since the actual tip speed ratio is not a measurable quantity, this expression for tip speed ratio tracking error is linearized and simplified to express it in terms of wind speed and rotor speed, where rotor speed can easily be measured whereas an estimator is designed to estimate the wind speed. Important results from stability and convergence analysis of the proposed adaptive controller with state estimation and state feedback is also presented. From the analysis it was observed that the adaptive disturbance tracking controller can be combined with adaptive state feedback to achieve other control objectives such as reducing the wind turbine structural loading. Hence, an adaptive state feedback scheme is also proposed to reduce wind turbine tower fore-aft and side-side motions.

Integral backstepping-based output feedback controller for the induction motor

2019 ◽  
Vol 41 (16) ◽  
pp. 4599-4612
Author(s):  
Soufien Hajji ◽  
Assil Ayadi ◽  
Youssef Agerbi Zorgani ◽  
Tarak Maatoug ◽  
Mondher Farza ◽  
...  
Keyword(s):  
Induction Motor ◽  
State Feedback ◽  
Controller Design ◽  
Systematic Method ◽  
Output Feedback Controller ◽  
Integral Action ◽  
Comparison Results ◽  
Control Scheme ◽  
The Stability ◽  
Transient And Steady State

This paper addresses the control of induction motor (IM) drives. In this work, we propose a new consideration of backstepping control. However, this control provides a systematic method to carry out the controller design while guaranteeing the stability of the controller-process couple. Furthermore, the incorporation of an integral action in the synthesis of the control system with state feedback presents a robust rejection of echelon-level disturbances. A detailed analytic study and simulation results are given showing the operation of the IM drives control. The results prove the accuracy and robustness of the proposed control scheme. Also, comparison results with another study dealing with control prove that the proposed method shows excellent transient and steady-state speed and a great estimation of flux and load torque.

Position Control of Pneumatic System Using High Gain and Backstepping Controllers

2019 ◽  
Vol 141 (8) ◽  
Author(s):  
S. Hajji ◽  
A. Ayadi ◽  
M. Smaoui ◽  
T. Maatoug ◽  
M. Farza ◽  
...  
Keyword(s):  
State Feedback ◽  
Position Control ◽  
Reference Model ◽  
Gain Control ◽  
Design Feature ◽  
High Gain ◽  
State Feedback Control ◽  
Control Approach ◽  
High Gain Control ◽  
Control Principle

This paper investigates the applicability of two state feedback controllers for a class of uniformly controllable and observable nonlinear systems. The first one is based on an appropriate high gain control principle that has been developed by duality from the high gain observer principle. The state feedback control gain is particularly provided by a synthesis function satisfying a well-defined condition, leading thereby to a unification of the high gain control designs. The second one is a backstepping controller that has been developed from a suitable combination of the backstepping control approach bearing in mind the high gain control principle pursued for the first controller design. A common engineering design feature that is worth to be mentioned consists in properly formulating their underlying control problems as a regulation problem involving a suitable reference model with respect to the structure of the system as well as the control design principle under consideration. Of fundamental interest, the involved reference model is systematically derived thanks to the flatness and backstepping principles using an appropriate Lyapunov approach. An experimental evaluation is carried out to illustrate the efficiency of the proposed nonlinear controllers.

Energy management and damping improvement of a DC microgrid with constant power load using interconnection and damping assignment-passivity based control

2020 ◽  
pp. 014233122096082
Author(s):  
Soumya Samanta ◽  
Saumitra Barman ◽  
Jyoti Prakash Mishra ◽  
Prasanta Roy ◽  
Binoy Krishna Roy
Keyword(s):  
Energy Management ◽  
Control Technique ◽  
Effective Energy ◽  
Constant Power ◽  
Dc Microgrid ◽  
Control Laws ◽  
Control Approach ◽  
Integral Action ◽  
Passivity Based Control ◽  
The Stability

This paper deals with (i) damping improvement and (ii) energy management of a DC microgrid for improvement of its stability. The direct current (DC) microgrid has a solar-photovoltaic system as a renewable source and fuel cell-battery combination as a backup system to supply power to constant power loads (CPLs). The presence of CPLs in a DC microgrid makes the stability problem more challenging since the negative impedance characteristics of CPLs bring instability into the system. A control approach using interconnection and damping assignment-passivity based control (IDA-PBC) is proposed in this paper to address both the objectives. The proposed control approach provides an efficient energy management, the required damping and also maintains the stability by making the system passive. The tuning parameters of the control laws are adapted incorporating the state of charge (SoC) for the effective energy management. In addition, an integral action is added with the proposed control laws to eliminate the steady-state error in the voltage level of the DC bus and load bus. The proposed IDA-PBC control along with an integral action is compared with four other control approaches, and reveals its better performances. The MATLAB/Simulink results show that the proposed control technique provides better responses in terms of providing damping and effective energy management.

Sign in / Sign up

Export Citation Format

Share Document