Optimal Filtering for Linear System States over Polynomial Observations

2006 ◽  
Author(s):  
M. Basin ◽  
J. Perez
Keyword(s):  
Linear System ◽  
Optimal Filtering ◽  
System States

Feedforward and Feedback Optimal Control of Autonomous Profiling Monitoring Underwater Vehicle with Disturbance

2014 ◽  
Vol 602-605 ◽  
pp. 970-973 ◽  
Author(s):  
Hua Mu ◽  
Jian Yuan
Keyword(s):  
Optimal Control ◽  
Linear System ◽  
Feedback Linearization ◽  
Vertical Plane ◽  
Underwater Vehicle ◽  
Linearization Method ◽  
Control Law ◽  
Control Scheme ◽  
System States ◽  
Feedback Optimal Control

The optimal control of autonomous profiling monitoring underwater vehicle (APMUV) is investigated. Firstly, dynamics equations in vertical plane with disturbances are constructed, and the equations are converted into a linear system by feedback linearization method and then feedforward and feedback optimal control (FFOC) law is designed for the linear system. To solve the unpractical problem of the control law, we construct a disturbance observer to observe the system states to make a quick convergance of the observed system states. Numerical simulations show the effectiveness of the control scheme

On Optimal Filtering for Polynomial System States

2003 ◽  
Vol 125 (1) ◽  
pp. 123-125 ◽  
Author(s):  
Michael V. Basin
Keyword(s):  
Polynomial System ◽  
General Scheme ◽  
Nonlinear Filter ◽  
Optimal Filter ◽  
Optimal Filtering ◽  
System States

The paper presents the optimal nonlinear filter for quadratic state and linear observation equations confused with white Gaussian disturbances. The general scheme for obtaining the optimal filter in case of polynomial state and linear observation equations is announced.

CHAOTIFYING THE CONTROLLABLE LINEAR SYSTEM VIA SINGLE INPUT STATE FEEDBACK

2006 ◽  
Vol 17 (07) ◽  
pp. 1027-1035
Author(s):  
ZHENG MAO WU ◽  
JUN GUO LU ◽  
JIAN YING XIE ◽  
JIE LI
Keyword(s):  
Linear System ◽  
Chaotic Dynamics ◽  
State Feedback ◽  
Closed Loop ◽  
Loop System ◽  
Input State ◽  
Closed Loop System ◽  
Single Input ◽  
Simulation Results ◽  
System States

An approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The feedback controller designed is a sawtooth function of the system states, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yielding chaotic dynamics. Based on the Marotto theorem, it is proven theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed theory.

Chaos in a manifold piecewise linear system

1981 ◽  
Vol 64 (10) ◽  
pp. 9-17 ◽  
Author(s):  
Toshimichi Saito ◽  
Hiroichi Fujita
Keyword(s):  
Linear System ◽  
Piecewise Linear ◽  
Piecewise Linear System
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