Control of Spin-Stabilized Spacecraft With Sloshing Fluid Stores

1992 ◽  
Vol 114 (4) ◽  
pp. 728-731 ◽  
Author(s):  
D. E. Hill ◽  
J. R. Baumgarten
Keyword(s):  
Dynamic Instability ◽  
Fluid Motion ◽  
Nonlinear Dynamic System ◽  
Linear Feedback ◽  
Control Law ◽  
Main Body ◽  
Spherical Pendulum ◽  
Linear Feedback Control ◽  
Highly Nonlinear ◽  
Body Dynamics

Spin-stabilized spacecraft with sloshing fluid stores are known to be a source of dynamic instability for certain spacecraft configurations. A time varying linear feedback control law was developed, using an equivalent spherical pendulum mechanical model of the fluid motion coupled to the main body dynamics, which stabilizes the highly nonlinear dynamic system within a large region of operation. The control law was also demonstrated to perform a pointing maneuver. A control design for a specific spacecraft is outlined and implemented by sensing only the main body angular rates and attitude.

Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Xindong Si ◽  
Hongli Yang
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
State Feedback Control ◽  
Invariant Sets ◽  
Linear Feedback ◽  
Control Law ◽  
Optimization Approach ◽  
Fractional Order Systems ◽  
Linear Feedback Control ◽  
Computational Point

AbstractThis paper deals with the Constrained Regulation Problem (CRP) for linear continuous-times fractional-order systems. The aim is to find the existence conditions of linear feedback control law for CRP of fractional-order systems and to provide numerical solving method by means of positively invariant sets. Under two different types of the initial state constraints, the algebraic condition guaranteeing the existence of linear feedback control law for CRP is obtained. Necessary and sufficient conditions for the polyhedral set to be a positive invariant set of linear fractional-order systems are presented, an optimization model and corresponding algorithm for solving linear state feedback control law are proposed based on the positive invariance of polyhedral sets. The proposed model and algorithm transform the fractional-order CRP problem into a linear programming problem which can readily solved from the computational point of view. Numerical examples illustrate the proposed results and show the effectiveness of our approach.

A Nonlinear Fuzzy Logic Controller Developed for an Autonomous Surface Boat

2005 ◽  
Author(s):  
Thomas A. Bean ◽  
Akira Okamoto ◽  
John R. Canning ◽  
Dean B. Edwards
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Logic Controller ◽  
Optimization Method ◽  
Operating Point ◽  
Linear Feedback ◽  
Control Law ◽  
Linear Feedback Control ◽  
Linear Controller ◽  
Optimal Linear ◽  
Optimal Set

This paper presents an optimized nonlinear fuzzy logic controller designed for an autonomous surface craft and describes the process by which it was found. The nonlinear fuzzy logic controller described herein was developed to maintain the linear feedback control of an optimal set of controller gains when the state is near the operating point. The simplex optimization method was utilized to find the optimal fuzzy logic parameters that define the shape of the control law away from the normal operating point. The resultant controller showed approximately a 20% improvement over the optimal linear controller.

Active Compressor Surge Control Using Piston Actuation

2011 ◽  
Author(s):  
Nur Uddin ◽  
Jan Tommy Gravdahl
Keyword(s):  
Feedback Control ◽  
Closed Loop ◽  
Linear Feedback ◽  
Control Law ◽  
Asymptotically Stable ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Closed Loop System ◽  
Linear Feedback Control ◽  
Surge Control

A novel approach to active surge control in compressors using piston actuation is presented. Two control laws are compared in order to evaluate the feasibility of implementing the concept. The first control law is a nonlinear feedback control derived by using backstepping and the second one is a linear feedback control derived by analyzing the eigenvalues of the linearized system around the operating point. The nonlinear feedback control law makes the closed loop system globally asymptotically stable (GAS) and uses full states feedback. The linear feedback control is only using feedback from plenum pressure and piston velocity and the removal of the mass flow feedback is advantageous for implementation. The closed loop system with the linear feedback control is locally asymptotically stable around the operating point. Simulations show that both controllers are capable of stabilizing surge.

Non-Linear Path-Following Control of Micro-AUV

2014 ◽  
Vol 1006-1007 ◽  
pp. 599-603
Author(s):  
Xing Ji ◽  
Lei Zhang ◽  
Jian Cao ◽  
Shan Ma
Keyword(s):  
Control Method ◽  
Path Following ◽  
Lyapunov Stability Theory ◽  
Linear Feedback ◽  
Control Law ◽  
Linear Feedback Control ◽  
Path Following Control ◽  
Virtual Target ◽  
Non Linear ◽  
Following Error

A novel path-following control method of under-actuated AUV is proposed in this paper. Under the Serret-Frenet coordinate system, dynamics equations of path-following error were established based on virtual target AUV. And then combined with dynamics equations of AUV, controller was designed based on Lyapunov stability theory and backstepping technique. Simulation results showed that path-following error could converge to zero rapidly by using the proposed non-linear feedback control law, to make the AUV navigate along the referenced path.

An Algorithm for Explicit Solution of Min-Max Model Predictive Control

2013 ◽  
Vol 392 ◽  
pp. 361-365
Author(s):  
Yu Gao ◽  
Mao Qing Zhang ◽  
Kil To Chong
Keyword(s):  
Extreme Point ◽  
Piecewise Linear ◽  
Linear Feedback ◽  
Control Law ◽  
Linear Feedback Control ◽  
Quadratic Cost ◽  
Uncertain Disturbances ◽  
Quadratic Cost Function ◽  
Piecewise Linear Feedback ◽  
Time Linear

In this paper, the explicit constrained min-max MPC problem is solved by an algorithm which is based on a discrete-time linear system with uncertain disturbances. Since the maximum of the quadratic cost function is only attained at extreme point of the disturbance set, the designed method is proposed in two different kinds of active extreme point sets, which correspond to two kinds of state regions. As a result, the state space is partitioned into polyhedral regions and a piecewise linear feedback control law has been defined over resulting cones.

FREQUENCY-DOMAIN CRITERIA FOR GLOBAL SYNCHRONIZATION OF MULTISCROLL CHAOTIC SYSTEMS UNDER LINEAR FEEDBACK CONTROL

2010 ◽  
Vol 20 (07) ◽  
pp. 2165-2177 ◽  
Author(s):  
XIAOFENG WU ◽  
ZHIFANG GUI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaotic Systems ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
General Mathematical Model ◽  
Linear State ◽  
Absolute Stability Theory

This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations.

Linear Control Root-Clustering of Uncertain Systems

2014 ◽  
Author(s):  
S. Gutman
Keyword(s):  
Control Systems ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Linear Control ◽  
Linear Control Systems ◽  
Linear Feedback ◽  
Important Class ◽  
Linear Feedback Control ◽  
Control Root ◽  
Clustering Criterion

In the design of linear control systems, it is desired to assign the closed loop spectrum in sub-regions (as opposed to locations) of the complex plane. The present paper establishes a matrix root-clustering criterion for an important class of regions, and develops a linear feedback control that assigns the closed loop spectrum in the desired region. This is done for both nominal and uncertain systems.

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