Design of state-feedback controller by pole placement for a coupled set of inverted pendulums

2011 ◽  
Author(s):  
Yan Lan ◽  
Minrui Fei
Keyword(s):  
State Feedback ◽  
Feedback Controller ◽  
Pole Placement ◽  
State Feedback Controller

scholarly journals Sensitivity-enhancing feedback control–based damage detection in delaminated smart composite plates

2019 ◽  
Vol 15 (7) ◽  
pp. 155014771986222
Author(s):  
Yan Guo ◽  
Yanan Jiang ◽  
Zhenghua Qian ◽  
Bin Huang
Keyword(s):  
Feedback Control ◽  
Damage Detection ◽  
Composite Structures ◽  
Present Method ◽  
State Feedback ◽  
Feedback Controller ◽  
Pole Placement ◽  
Smart Composite ◽  
Frequency Shifts ◽  
State Feedback Controller

In this article, we present a sensitivity-enhancing feedback control–based damage detection method for piezoelectric actuator and sensor bonded composite laminates with delamination failures. The present method mainly consists of two parts: delamination modeling and feedback controller design. We first introduce the adopted improved layerwise theory–based mathematical model for delamination modeling with finite element implementation. The obtained second-order governing equations are transformed into the state space model for design of state feedback controller. Proper pole placement is required to enhance the sensitivity of frequency shifts to stiffness change caused by delamination. We investigated different delamination interfaces and longitudinal locations for studying the feasibility and efficiency of the present method. The present results clearly demonstrate that with the applied state feedback controller, the frequency shifts of the closed-loop system are significantly enhanced. The proposed sensitivity-enhancing feedback control can be used as an efficient tool for detecting delamination failures in smart composite structures.

scholarly journals A Study of Integrally Augmented State Feedback Control for an Active Magnetic Bearing Supported Rotor System

1997 ◽  
Author(s):  
George T. Flowers ◽  
Gyorgy Szasz ◽  
Victor S. Trent ◽  
Michael E. Greene
Keyword(s):  
State Feedback ◽  
Magnetic Bearing ◽  
Rotor System ◽  
Feedback Controller ◽  
State Feedback Control ◽  
Pole Placement ◽  
State Feedback Controller ◽  
System Type ◽  
Effective Manner ◽  
Augmented State

State feedback controller designs allow for pole-placement in an effective manner, but reduction of static offset is difficult. On the other hand, classical control methodology allows for the increase of system type and the elimination of static offset. An integrally augmented state feedback controller provides the benefits of standard feedback designs while allowing for the elimination of static offsets (through the increase of system type). Static offset is a particular problem with magnetic bearing supported rotor systems, in that gravitational effects, current biasing, and operational loading tend to exacerbate this problem. In order to assess the effectiveness of this technique, an integrally augmented state feedback controller is developed, implemented, and tested for a magnetic bearing supported rotor system. Results for several selected configurations are presented and compared. Some conclusions and recommendations concerning the effectiveness of integrally augmented state feedback controller designs are presented.

scholarly journals State Feedback Controller Design of an Active Suspension System for Vehicles Using Pole Placement Technique

2019 ◽  
Author(s):  
Andrea Wéber ◽  
Miklós Kuczmann
Keyword(s):  
State Feedback ◽  
Traffic Accidents ◽  
Controller Design ◽  
Active Suspension ◽  
Suspension System ◽  
Feedback Controller ◽  
Pole Placement ◽  
State Feedback Controller ◽  
The Road ◽  
Quarter Car Model

The paper presents a method for designing a state feedback controller of an active suspension system of a quarter car model. This is a survey based on a specific example. The designed controller of the active suspension system improves the driving control, safety and stability, because during the ride, the periodic swinging motion generated by the road irregularities on wheels can be decreased. This periodic motion damages the driving comfort, and may cause traffic accidents. The state feedback controller is designed to stand road induced displacements. Computer simulations of the designed controller have been performed in the frame of Scilab and XCos.

scholarly journals Design of an adaptive state feedback controller for a magnetic levitation system

2020 ◽  
Vol 10 (5) ◽  
pp. 4782
Author(s):  
Omar Waleed Abdulwahhab
Keyword(s):  
Equilibrium Point ◽  
State Feedback ◽  
Magnetic Levitation ◽  
The State ◽  
Feedback Controller ◽  
Pole Placement ◽  
Operating Point ◽  
State Feedback Controller ◽  
Levitation System ◽  
Magnetic Levitation System

This paper presents designing an adaptive state feedback controller (ASFC) for a magnetic levitation system (MLS), which is an unstable system and has high nonlinearity and represents a challenging control problem. First, a nonadaptive state feedback controller (SFC) is designed by linearization about a selected equilibrium point and designing a SFC by pole-placement method to achieve maximum overshoot of 1.5% and settling time of 1s (5% criterion). When the operating point changes, the designed controller can no longer achieve the design specifications, since it is designed based on a linearization about a different operating point. This gives rise to utilizing the adaptive control scheme to parameterize the state feedback controller in terms of the operating point. The results of the simulation show that the operating point has significant effect on the performance of nonadaptive SFC, and this performance may degrade as the operating point deviates from the equilibrium point, while the ASFC achieves the required design specification for any operating point and outperforms the state feedback controller from this point of view.

A Study of Integrally Augmented State Feedback Control for an Active Magnetic Bearing Supported Rotor System

1997 ◽  
Vol 123 (2) ◽  
pp. 377-382 ◽  
Author(s):  
G. T. Flowers ◽  
G. Sza´sz ◽  
V. S. Trent ◽  
M. E. Greene
Keyword(s):  
State Feedback ◽  
Magnetic Bearing ◽  
Rotor System ◽  
Feedback Controller ◽  
State Feedback Control ◽  
Pole Placement ◽  
State Feedback Controller ◽  
System Type ◽  
Effective Manner ◽  
Augmented State

State feedback controller designs allow for pole placement in an effective manner, but reduction of static offset is difficult. On the other hand, classical control methodology allows for the increase of system type and the elimination of static offset. An integrally augmented state feedback controller provides the benefits of standard feedback designs while allowing for the elimination of static offsets (through the increase of system type). Static offset is a particular problem with magnetic bearing supported rotor systems, in that gravitational effects, current biasing, and operational loading tend to exacerbate this problem. In order to assess the effectiveness of this technique, an integrally augmented state feedback controller is developed, implemented, and tested for a magnetic bearing supported rotor system. Results for several selected configurations are presented and compared. Some conclusions and recommendations concerning the effectiveness of integrally augmented state feedback controller designs are presented.

scholarly journals Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Firas Turki ◽  
Hassène Gritli ◽  
Safya Belghith
Keyword(s):  
State Feedback ◽  
Position Control ◽  
External Disturbance ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Mechanical Oscillator ◽  
Impact Oscillator ◽  
State Feedback Controller ◽  
The Impact

This paper proposes a state-feedback controller using the linear matrix inequality (LMI) approach for the robust position control of a 1-DoF, periodically forced, impact mechanical oscillator subject to asymmetric two-sided rigid end-stops. The periodic forcing input is considered as a persistent external disturbance. The motion of the impacting oscillator is modeled by an impulsive hybrid dynamics. Thus, the control problem of the impact oscillator is recast as a problem of the robust control of such disturbed impulsive hybrid system. To synthesize stability conditions, we introduce the S-procedure and the Finsler lemmas by only considering the region within which the state evolves. We show that the stability conditions are first expressed in terms of bilinear matrix inequalities (BMIs). Using some technical lemmas, we convert these BMIs into LMIs. Finally, some numerical results and simulations are given. We show the effectiveness of the designed state-feedback controller in the robust stabilization of the position of the impact mechanical oscillator under the disturbance.

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