A Reduced-Order H∞ Controller Design for Linear Structures

2012 ◽  
Vol 170-173 ◽  
pp. 3334-3337
Author(s):  
Lian Hua Hu ◽  
Xiao Feng Yang
Keyword(s):  
State Feedback ◽  
Parametric Design ◽  
Controller Design ◽  
State Feedback Control ◽  
Matrix Equations ◽  
Linear Structures ◽  
Reduced Order ◽  
Disturbance Decoupling ◽  
Necessary And Sufficient ◽  
Sylvester Matrix Equations

A robust reduced-order H∞ controller for the linear structures is investigated. This controller is with disturbance decoupling. First, a necessary and sufficient condition for the H∞ state feedback control problem is established. Second, based on the parametric design approach for generalized Sylvester matrix equations, we obtain a reduced-order H∞ controller for linear structures. Finally, numerical example is given to illustrate the validity of the results.

Sampled-Data State Feedback Stabilization of Boolean Control Networks

2016 ◽  
Vol 28 (4) ◽  
pp. 778-799 ◽  
Author(s):  
Yang Liu ◽  
Jinde Cao ◽  
Liangjie Sun ◽  
Jianquan Lu
Keyword(s):  
State Feedback ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Necessary And Sufficient Conditions ◽  
State Feedback Control ◽  
Global Stabilization ◽  
Sampled Data ◽  
Control Networks ◽  
Piecewise Constant Control ◽  
Necessary And Sufficient

In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean control networks (BCNs). Some necessary and sufficient conditions are obtained for the global stabilization of BCNs by SDSFC. Different from conventional state feedback controls, new phenomena observed the study of SDSFC. Based on the controllability matrix, we derive some necessary and sufficient conditions under which the trajectories of BCNs can be stabilized to a fixed point by piecewise constant control (PCC). It is proved that the global stabilization of BCNs under SDSFC is equivalent to that by PCC. Moreover, algorithms are given to construct the sampled-data state feedback controllers. Numerical examples are given to illustrate the efficiency of the obtained results.

scholarly journals Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. Rajchakit ◽  
P. Niamsup ◽  
T. Rojsiraphisal ◽  
G. Rajchakit
Keyword(s):  
Neural Networks ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Performance Measure ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Guaranteed Cost

This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.

LOOKING FORWARD TO THE INTELLIGENT ELECTRICAL MACHINE: ELECTRONICS AND MACHINES COMBINE THEIR ABILITIES

1995 ◽  
Vol 05 (01) ◽  
pp. 45-63
Author(s):  
DIETRICH NAUNIN
Keyword(s):  
State Feedback ◽  
Position Control ◽  
Controller Design ◽  
Supply Voltage ◽  
Induction Machine ◽  
State Feedback Control ◽  
Electrical Machine ◽  
Precise Position ◽  
Electric Cars ◽  
Drive Systems

Electrical machines, more than 150 years old, have long been distinguished according to their mechanical structure and frequencies of their supply voltage (or current). This is not true any more after the electronic revolution. Since the fast development in power electronics as well as in control electronics these electronics can give any motor any desired speed-torque characteristic and any motor can become a servodrive having a very precise position control. By implementing digital control algorithms, mainly the cascaded, the state feedback or the cascaded state feedback control, and — if necessary, in addition — adaptive control procedures which compensate the variation of system parameters in the controller, the "intelligent electrical machine" — either with the synchronous or with the induction machine — is created. It is part of mechatronics. It can be installed in modern automated systems, in robots and tool machines, in all kinds of industrial drive systems as well as in locomotives and electric cars. Also modern methods like fuzzy logic and neural networks can be used. It seems that they will not create a second revolution in the control itself, but in the application areas of drives. They add some interesting features to the intelligent electrical machine and make it even more intelligent. They could also speed up the controller design in future.

scholarly journals A Systematic Controller Design for a Photovoltaic Generator with Boost Converter Using Integral State Feedback Control

2019 ◽  
Vol 9 (2) ◽  
pp. 4030-4036 ◽  
Author(s):  
Z. R. Labidi ◽  
H. Schulte ◽  
A. Mami
Keyword(s):  
Feedback Control ◽  
State Space ◽  
State Feedback ◽  
Controller Design ◽  
State Space Model ◽  
Boost Converter ◽  
State Feedback Control ◽  
Solar Irradiation ◽  
Photovoltaic Array ◽  
Pv Generator

In this paper, a systematic controller design for a photovoltaic generator with boost converter using integral state feedback control is proposed. It is demonstrated that the state–space feedback enables the extraction of maximum available power under variable loads. For this purpose, a control-oriented state-space model of a photovoltaic array connected to a DC load by a boost converter is derived. This model is then linearized by one working point, but no further simplifications are made. The design-oriented model contains the dynamics of PV generator, boost converter, and the load. The controller design is based on the augmented model with an integral component. The controller is validated by a detailed plant model implemented in Simscape. The robustness of the controller with variable solar irradiation and DC load changes is demonstrated.

scholarly journals Robust set stabilization of Boolean control networks with impulsive effects

2018 ◽  
Vol 23 (4) ◽  
pp. 553-567 ◽  
Author(s):  
Xiaojing Xu ◽  
Yansheng Liu ◽  
Haitao Li ◽  
Fuad E. Alsaadi
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
State Feedback Control ◽  
Impulsive Effects ◽  
Algebraic Form ◽  
Control Networks ◽  
Set Stabilization ◽  
Necessary And Sufficient

This paper addresses the robust set stabilization problem of Boolean control networks (BCNs) with impulsive effects via the semi-tensor product method. Firstly, the closed-loop system consisting of a BCN with impulsive effects and a given state feedback control is converted into an algebraic form. Secondly, based on the algebraic form, some necessary and sufficient conditions are presented for the robust set stabilization of BCNs with impulsive effects under a given state feedback control and a free-form control sequence, respectively. Thirdly, as applications, some necessary and sufficient conditions are presented for robust partial stabilization and robust output tracking of BCNs with impulsive effects, respectively. The study of two illustrative examples shows that the obtained new results are effective.

STATE-FEEDBACK CONTROL FOR PASSENGER RIDE DYNAMICS

1995 ◽  
Vol 19 (4) ◽  
pp. 495-507 ◽  
Author(s):  
E. Esmailzadeh ◽  
H.D. Taghirad
Keyword(s):  
Performance Index ◽  
State Feedback ◽  
Ride Comfort ◽  
Controller Design ◽  
Analytical Investigation ◽  
State Feedback Control ◽  
The Road ◽  
Car Model ◽  
Road Disturbance ◽  
Optimal State Feedback

An analytical investigation of a half-car model with passenger dynamics, subjected to random road disturbance, is performed. Two different methods of defining the performance index for optimal controller design are proposed. Nondeterministic inputs are applied to simulate the road surface conditions more realistically. Results obtained illustrate that using an optimal state-feedback controller, with passenger acceleration included in the performance index, would exhibit not only an improved passenger ride comfort, but also, a better road handling and stability.

Current controller design for DFIG‐based wind turbines using state feedback control

2019 ◽  
Vol 13 (11) ◽  
pp. 1938-1948 ◽  
Author(s):  
Ahmed G. Abo‐Khalil ◽  
Ali Alghamdi ◽  
I. Tlili ◽  
Ali M. Eltamaly
Keyword(s):  
Feedback Control ◽  
Wind Turbines ◽  
State Feedback ◽  
Controller Design ◽  
State Feedback Control ◽  
Current Controller
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