A Possible Approach to Solve Nonlinear H-Infinity Control Problem

A mathematical model is presented to describe the horizontal behavior of a ship. In order to design a robust controller for maneuvering problem, a number of uncertainties are considered. The transfer function derived from the mathematical model contains coefficients related to body configuration and hydrodynamic behavior. The multiplicative uncertainty bound on the plant transfer function is calculated with variation of hydrodynamic and geometric coefficients. The limitation on the rudder saturation is also considered. The robust control problem is formulated as an optimal H∞ control problem. The robustness, nominal performance and tracking objectives are fully met in the range of the plant linearity, while the control effort is well below the requirement.

Download Full-text

A design of controllers for simultaneous H infinity control problem

International Journal of Systems Science ◽

10.1080/002077299292632 ◽

1999 ◽

Vol 30 (1) ◽

pp. 25-31 ◽

Cited By ~ 5

Author(s):

Noboru Sebe

Keyword(s):

Control Problem ◽

H Infinity ◽

H Infinity Control

Download Full-text

Robust H-Infinity Control for a Premium Pricing Model With a Predefined Portfolio Strategy

ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg ◽

10.1115/1.4029758 ◽

2015 ◽

Vol 1 (2) ◽

Cited By ~ 3

Author(s):

Athanasios A. Pantelous ◽

Lin Yang

Keyword(s):

Control Problem ◽

Stock Exchange ◽

Investment Strategy ◽

Disturbance Attenuation ◽

Linear Matrix ◽

H Infinity ◽

Risky Investment ◽

H Infinity Control ◽

Disturbance Attenuation Level ◽

The Impact

In this paper, the robust H-infinity (H∞) control problem for a premium pricing process is investigated with parameters uncertainty. A previous model is modified by taking into account a predefined risky investment strategy. A robust H∞ control problem for the reserve process is proposed using linear matrix inequality (LMI) criteria. Attention is focused on the design of a state feedback controller such that the resulting closed-loop system is robustly stochastically stable with disturbance attenuation level γ>0. Finally, a numerical example with colorful figures and tables based on the data from the Shanghai Stock Exchange market is provided illustrating clearly the impact of risky investment in the system. The MATLAB LMI Control toolbox is used for the numerical calculations.

Download Full-text

Novelty of Frequency Domain Data in Smart Structures using μ-Analysis

European Journal of Engineering Research and Science ◽

10.24018/ejers.2019.4.4.1253 ◽

2019 ◽

Vol 4 (4) ◽

pp. 131-138

Author(s):

Amalia John Moutsopoulou ◽

Georgios E. Stavroulakis ◽

Anastasios D. Pouliezos

Keyword(s):

Robust Control ◽

Control Problem ◽

Frequency Domain ◽

Optimization Problem ◽

Smart Structures ◽

Mathematical Optimization ◽

Smart Structure ◽

H Infinity ◽

H Infinity Control ◽

Mathematical Optimization Problem

This paper deals with the advantages of robust control in smart structures. First we present the implementations of H infinity control in the frequency domain. A dynamic model for smart structure under wind excitations is considered. Then robust control theory is used a model to synthesize controllers achieving stabilization with guaranteed performance for smart structures. We use μ-analysis to express the control problem as a mathematical optimization problem and then find the controller that solves the optimization problem in the frequency domain.

Download Full-text