Adaptive Periodic Noise Cancellation for Cooling Fans With Varying Rotational Speed

2007 ◽  
Author(s):  
Charles E. Kinney ◽  
Raymond A. de Callafon
Keyword(s):  
Internal Model ◽  
Control Algorithm ◽  
State Feedback ◽  
Random Noise ◽  
Feedback Gain ◽  
Time Varying ◽  
Internal Model Principle ◽  
Cooling Fans ◽  
Novel Method ◽  
Time Invariant

This paper presents a novel method of simultaneously tracking and rejecting time-varying sinusoids in the presence of random noise by using feedback control. The technique applies the internal model-principle to time-varying disturbances by using an extended Kalman filter to create time-varying gains and a time-varying internal model. The state feedback gain, however, is not time-varying and is designed using standard time-invariant LQR methods. This control algorithm is applied to active noise cancelation and in simulations is shown to converge quickly in the presence of noise. Methods of improving convergence of this algorithm are discussed.

Pole Placement for Single-Input Linear System by Proportional-Derivative State Feedback

2014 ◽  
Vol 137 (4) ◽  
Author(s):  
Taha H. S. Abdelaziz
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Degrees Of Freedom ◽  
State Feedback ◽  
Pole Placement ◽  
Feedback Gain ◽  
Time Varying ◽  
Placement Problem ◽  
Single Input ◽  
Time Invariant

This paper deals with the direct solution of the pole placement problem for single-input linear systems using proportional-derivative (PD) state feedback. This problem is always solvable for any controllable system. The explicit parametric expressions for the feedback gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. These freedoms are utilized to obtain closed-loop systems with small gains. Its derivation is based on the transformation of linear system into control canonical form by a special coordinate transformation. The solving procedure results into a formula similar to Ackermann’s one. In the present work, both time-invariant and time-varying linear systems are treated. The effectiveness of the proposed method is demonstrated by the simulation examples of both time-invariant and time-varying systems.

The Swing Control of Cranes with Variable Rope Length Based on Linear Time Varying System Theory

2012 ◽  
Vol 461 ◽  
pp. 763-767
Author(s):  
Li Fu Wang ◽  
Zhi Kong ◽  
Xin Gang Wang ◽  
Zhao Xia Wu
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Linear Time ◽  
Feedback Stabilization ◽  
Time Varying ◽  
Closed Loop System ◽  
Overhead Cranes ◽  
Time Varying Systems ◽  
Time Invariant ◽  
Time Invariant System

In this paper, following the state-feedback stabilization for time-varying systems proposed by Wolovich, a controller is designed for the overhead cranes with a linearized parameter-varying model. The resulting closed-loop system is equivalent, via a Lyapunov transformation, to a stable time-invariant system of assigned eigenvalues. The simulation results show the validity of this method.

Observer and Controller Design Using Time-Varying Gains: Duality and Distinctions

2004 ◽  
Vol 127 (2) ◽  
pp. 267-274
Author(s):  
Vladimir Polotski
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Dual Problem ◽  
Controller Design ◽  
Time Varying ◽  
Feedback Controllers ◽  
Observer Error ◽  
Time Varying Systems ◽  
Error Dynamics ◽  
Time Invariant

Stabilization of linear systems by state feedback is an important problem of the controller design. The design of observers with appropriate error dynamics is a dual problem. This duality leads, at first glance, to the equivalence of the responses in the synthesized systems. This is true for the time-invariant case, but may not hold for time-varying systems. We limit ourselves in this work by the situation when the system itself is time invariant, and only the gains are time varying. The possibility of assigning a rapidly decaying response without peaking is analyzed. The solution of this problem for observers using time-varying gains is presented. Then we show that this result cannot be obtained for state feedback controllers. We also analyze the conditions under which the observer error dynamics and the response of the closed loop time-varying controllers are equivalent. Finally we compare our results to recently proposed observer converging in finite time and Riccati-based continuous observer with limited overshoots.

State Feedback Control to Track a Moving Object for a Non-Holonomic Mobile Robot

2010 ◽  
Vol 44-47 ◽  
pp. 646-650 ◽  
Author(s):  
Yan Cui Hui ◽  
Yi Qiang Peng ◽  
Xian Ye
Keyword(s):  
Feedback Control ◽  
Velocity Profile ◽  
Mobile Robot ◽  
Control Algorithm ◽  
State Feedback ◽  
Moving Object ◽  
State Feedback Control ◽  
Time Varying ◽  
Holonomic Robot ◽  
Holonomic Mobile Robot

In this paper, a state feedback control algorithm for non-holonomic robot to track a moving object is described. In order to generate continuous velocity profile, some independent time varying functions are introduced for calculation the state feedback variables. The simulation of the control algorithm is implemented with MATLAB. The results shows that, with the designed state feedback control algorithm, the wheeled mobile robot can track a moving object and the trajectory is also reasonable.

The Application of Implicit Generalized Predictive Self-Tuning Algorithm for Liquefied Natural Gas Storage Station

2011 ◽  
Vol 268-270 ◽  
pp. 458-461
Author(s):  
Ya Ting Deng ◽  
Wei Long ◽  
Shao Jie Sun
Keyword(s):  
Time Delay ◽  
Control Algorithm ◽  
Large Time ◽  
Random Noise ◽  
Gas Storage ◽  
Liquefied Natural Gas ◽  
Time Varying ◽  
Control Effect ◽  
Self Tuning ◽  
Actual Operation

The advanced implicit generalized predictive self-tuning control algorithm was used against those characteristics of the outlet’s gas pressure such as large-time delay, time varying, vulnerable to random noise and so on. Through the simulation, a good tracking performance was shown, and in the process of actual operation, it also achieved satisfactory control effect.

scholarly journals Improved Results on Delay-Dependent Robust H ∞ Control of Uncertain Neutral Systems with Mixed Time-Varying Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Jingsha Zhang ◽  
Yongke Li ◽  
Xiaolin Ma ◽  
Zhilong Lin ◽  
Changlong Wang
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
The State ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Time Varying ◽  
Neutral Systems ◽  
The Matrix ◽  
Left And Right ◽  
Delay Dependent

In this paper, the problem of the delay-dependent robust H ∞ control for a class of uncertain neutral systems with mixed time-varying delays is studied. Firstly, a robust delay-dependent asymptotic stability criterion is shown by linear matrix inequalities (LMIs) after introducing a new Lyapunov–Krasovskii functional (LKF). The LKF including vital terms is expected to obtain results of less conservatism by employing the technique of various efficient convex optimization algorithms and free matrices. Then, based on the obtained criterion, analyses for uncertain systems and H ∞ controller design are presented. Moreover, on the analysis of the state-feedback controller, different from the traditional method which multiplies the matrix inequality left and right by some matrix and its transpose, respectively, we can obtain the state-feedback gain directly by calculating the LMIs through the toolbox of MATLAB in this paper. Finally, the feasibility and validity of the method are illustrated by examples.

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