The existence of a unique and bounded solution of the algebraic Riccati equation of multimodel estimation and control problems

1988 ◽  
Vol 10 (3) ◽  
pp. 185-190 ◽  
Author(s):  
Zoran Gajic
Keyword(s):  
Riccati Equation ◽  
Bounded Solution ◽  
Algebraic Riccati Equation ◽  
Control Problems ◽  
Estimation And Control ◽  
And Control

Basic optimal estimation and control problems in Hilbert space

1978 ◽  
Vol 12 (1) ◽  
pp. 175-203 ◽  
Author(s):  
R. M. DeSantis ◽  
R. Saeks ◽  
L. J. Tung
Keyword(s):  
Hilbert Space ◽  
Optimal Estimation ◽  
Control Problems ◽  
Estimation And Control ◽  
And Control

scholarly journals Nonlinear Finite-Horizon Regulation and Tracking for Systems with Incomplete State Information Using Differential State Dependent Riccati Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Ahmed Khamis ◽  
D. Subbaram Naidu ◽  
Ahmed M. Kamel
Keyword(s):  
Riccati Equation ◽  
Stochastic Systems ◽  
Finite Horizon ◽  
Guidance System ◽  
State Dependent ◽  
Wide Range ◽  
Linearized System ◽  
Estimation And Control ◽  
Regulation And Tracking ◽  
And Control

This paper presents an efficient online technique used for finite-horizon, nonlinear, stochastic, regulator, and tracking problems. This can be accomplished by the integration of the differential SDRE filter algorithm and the finite-horizon state dependent Riccati equation (SDRE) technique. Unlike the previous methods which deal with the linearized system, this technique provides finite-horizon estimation and control of the nonlinear stochastic systems. Further, the proposed technique is effective for a wide range of operating points. Simulation results of a missile guidance system are presented to illustrate the effectiveness of the proposed technique.

Fractional High-Order Differential Estimator and Feedback Controller Design for a Single-Input–Single-Output Affine Chaotic System

2019 ◽  
Vol 15 (1) ◽  
Author(s):  
Erdinc Sahin ◽  
Mustafa Sinasi Ayas
Keyword(s):  
Chaotic System ◽  
High Order ◽  
Feedback Controller ◽  
Control Problems ◽  
Single Input Single Output ◽  
Single Output ◽  
System Output ◽  
Single Input ◽  
Estimation And Control ◽  
And Control

Abstract Control of chaos generally refers to realize a desired behavior of chaotic system output and its states. In this manner, we design a fractional high-order differential feedback controller (FHODFC) to increase tracking performance of a nonlinear system output and its differentials for a desired trajectory signal. The proposed controller is based on fractional calculus and high-order extracted differentials of error signal. The suggested fractional approach is applied to a single-input–single-output affine Duffing-Holmes dynamical system in matlab/simulink environment. Duffing-Holmes system is analyzed for two different problems: estimation and control problems. The simulation results clearly demonstrate superior dynamic behavior of the FHODFC compared to the classical high-order differential feedback controller (HODFC) version for both estimation and control problems.

Duality and symmetry in constrained estimation and control problems

Automatica ◽  
2006 ◽  
Vol 42 (12) ◽  
pp. 2183-2188 ◽  
Author(s):  
Claus Müller ◽  
Xiang W. Zhuo ◽  
José A. De Doná
Keyword(s):  
Control Problems ◽  
Constrained Estimation ◽  
Estimation And Control ◽  
And Control
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