An Efficient Technique for Computing a Sub-optimal Disturbance Attenuation $H_{\infty}$ Control Problem Feedback Solution

2008 ◽  
Author(s):  
Francisco Damasceno Freitas ◽  
Joao Yoshiyuki Ishihara ◽  
Geovany de Araujo Borges
Keyword(s):  
Control Problem ◽  
Disturbance Attenuation ◽  
Efficient Technique

Output Feedback H∞ Control Problem for Linear Neutral Systems: Delay Independent Case

2003 ◽  
Vol 125 (2) ◽  
pp. 177-185 ◽  
Author(s):  
Ulviye Bas¸er
Keyword(s):  
Control Problem ◽  
Output Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Neutral System ◽  
Neutral Systems ◽  
Constant Multiple ◽  
Independent Case

This paper presents the solution of output feedback H∞ control problem for linear neutral systems with unknown constant multiple state delays in delay independent case, without any restrictions on plant matrices D12 and D21. First, some sufficient conditions for the solution of this problem are obtained in closed-loop system matrices in both linear matrix inequality (LMI) and algebraic Riccati inequality (ARI) forms, by standard Lyapunov-Krazovskii functional in delay independent multi-delay case. Because of the complexity of the solution of the compensator from these inequalities, equivalent sufficient conditions are derived for designing output feedback controller which stabilizes the closed-loop neutral system under consideration and guarantees an H∞-norm bound constraint on the disturbance attenuation. These conditions are of the form two ARIs and, for simplicity in computation equivalent LMIs are given. Finally, output feedback H∞ controller design is achieved and the results are illustrated in some numerical examples.

Multi-Objective Disturbance Attenuation Control for T-S Fuzzy System with Hard Constraints

2013 ◽  
Vol 313-314 ◽  
pp. 453-456
Author(s):  
Xing Quan Gao ◽  
De Hua Meng
Keyword(s):  
Control Problem ◽  
Fuzzy System ◽  
Actuator Saturation ◽  
Disturbance Attenuation ◽  
Control Technique ◽  
System Control ◽  
Lmi Optimization ◽  
Multi Objective ◽  
Hard Constraints ◽  
Objective Control

This paper exploits a multi-objective control technique for T-S fuzzy system with hard constraints, which include actuator saturation and state constraints resulting from some mechanical structure constraints. The disturbance attenuation performance is characterized H norm, while requirements for respecting hard constraints are specified by the generalized H2norm. The T-S fuzzy system control problem is then formulated in a mixed H /generalized H2control problem , and an state feedback solution is derived using LMI optimization.

scholarly journals Distributed Robust H∞ Consensus Control for Uncertain Multiagent Systems with State and Input Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-15 ◽  
Author(s):  
Ping Li ◽  
Kaiyu Qin
Keyword(s):  
Control Problem ◽  
Multiagent Systems ◽  
Performance Index ◽  
Disturbance Attenuation ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Consensus Control ◽  
Control Protocol ◽  
State And Input Delays ◽  
Input Delays

Robust H∞ consensus control problem is investigated for multiagent systems. Each agent is tackled in a more generalized form, which includes parameter uncertainties, external disturbances, nonidentical time-varying state, and input delays. Firstly, a distributed control protocol based on state feedback of neighbors is designed. By a decoupling method, H∞ consensus control problem for multiagent systems is transformed into H∞ control problem for the decoupling subsystems. Then employing Lyapunov-Krasovskii functional and free-weighting matrices, a lower conservative bounded real lemma (BRL) is derived in terms of linear matrix inequalities (LMIs) such that a class of time-delay system is guaranteed to be globally asymptotically stable with the desired H∞ performance index. Extending BRL, a sufficient delay-dependent condition of lower complexity in terms of the matrix inequalities is obtained to make all agents asymptotically reach consensus with the desired H∞ performance index. Furthermore, an algorithm is elaborately designed to get feasible solution to this condition. Extending this algorithm, an optimization algorithm for control protocol parameter is proposed to improve the disturbance attenuation capacity or allowable delay bounds. Finally, simulation results are provided to illustrate the correctness of the theoretical results and the effectiveness of the algorithms.

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

2015 ◽  
Vol 1 (2) ◽  
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.

scholarly journals Nonlinear H¥ control for underactuated manipulators with robustness tests

2004 ◽  
Vol 15 (3) ◽  
pp. 339-350 ◽  
Author(s):  
Adriano A. G. Siqueira ◽  
Marco Henrique Terra
Keyword(s):  
Game Theory ◽  
Control Problem ◽  
Differential Game ◽  
Explicit Solution ◽  
Experimental Results ◽  
Disturbance Attenuation ◽  
Robotic Control ◽  
Dynamic Coupling ◽  
Differential Game Theory ◽  
Underactuated Manipulators

In this paper, the model-based robotic control problem with disturbance attenuation (or robotic H<FONT FACE=Symbol>¥</FONT> control problem), presented in Chen et all (1994), is extended to underactuated manipulators. The dynamic coupling between the links is used to control all manipulator's free joints. A global explicit solution is found solving a minimax Bellman-Isaacs equation, generated via differential game theory. Experimental results, obtained from UArm II manipulator, considering fully actuated and underactuated configurations, are presented.

scholarly journals Adaptive Speed Control Design for Brushed Permanent Magnet DC Motor Based on Worst-Case Analysis Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
Sheng Zeng
Keyword(s):  
Control Problem ◽  
Permanent Magnet ◽  
Controller Design ◽  
Dc Motor ◽  
Robust Adaptive Control ◽  
Disturbance Attenuation ◽  
Worst Case Analysis ◽  
Theoretic Approach ◽  
Worst Case ◽  
Permanent Magnet Dc Motor

This paper presents the adaptive controller design for brushed permanent magnet DC motor used in velocity-tracking applications based on worst-case approach. We first formulate the robust adaptive control problem as a nonlinearH∞-control problem under imperfect state measurement, and then solve it using game-theoretic approach. The controller guarantees the boundedness of closed-loop signals with bounded exogenous disturbances, and achieves desired disturbance attenuation level with respect to the unmeasured exogenous disturbance inputs and the measured disturbance inputs. The strong robustness properties are illustrated by a simulation example.

Characterization of machined polystyrene foam

1989 ◽  
Vol 47 ◽  
pp. 372-373
Author(s):  
C. W. Price ◽  
E. F. Lindsey ◽  
R. M. Franks ◽  
M. A. Lane
Keyword(s):  
Surface Finish ◽  
Cell Walls ◽  
Surface Structures ◽  
Efficient Technique ◽  
Low Density ◽  
Polystyrene Foam ◽  
Planar Surfaces ◽  
Machining Characteristics

Diamond-point turning is an efficient technique for machining low-density polystyrene foam, and the surface finish can be substantially improved by grinding. However, both diamond-point turning and grinding tend to tear and fracture cell walls and leave asperities formed by agglomerations of fragmented cell walls. Vibratoming is proving to be an excellent technique to form planar surfaces in polystyrene, and the machining characteristics of vibratoming and diamond-point turning are compared.Our work has demonstrated that proper evaluation of surface structures in low density polystyrene foam requires stereoscopic examinations; tilts of + and − 3 1/2 degrees were used for the stereo pairs. Coating does not seriously distort low-density polystyrene foam. Therefore, the specimens were gold-palladium coated and examined in a Hitachi S-800 FESEM at 5 kV.

Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem

2020 ◽  
Vol 26 ◽  
pp. 78
Author(s):  
Thirupathi Gudi ◽  
Ramesh Ch. Sau
Keyword(s):  
Finite Element ◽  
Control Problem ◽  
Dirichlet Boundary ◽  
A Priori ◽  
Diffusion Problem ◽  
Discrete Control ◽  
Optimal Order ◽  
Control Constraints ◽  
Element Analysis ◽  
Dirichlet Boundary Control

We study an energy space-based approach for the Dirichlet boundary optimal control problem governed by the Laplace equation with control constraints. The optimality system results in a simplified Signorini type problem for control which is coupled with boundary value problems for state and costate variables. We propose a finite element based numerical method using the linear Lagrange finite element spaces with discrete control constraints at the Lagrange nodes. The analysis is presented in a combination for both the gradient and the L2 cost functional. A priori error estimates of optimal order in the energy norm is derived up to the regularity of the solution for both the cases. Theoretical results are illustrated by some numerical experiments.

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