Application of Two Polynomial Optimization Methods for Computing Robust Stability and Robust Performance Margins

2011 ◽  
Vol 44 (1) ◽  
pp. 7690-7695
Author(s):  
Mehdi Pourseiedrezaei ◽  
Mohammad Bozorg ◽  
Ali Delavar-Khalafi
2017 ◽  
Vol 89 (1) ◽  
pp. 87-98 ◽  
Author(s):  
Rooh ul Amin ◽  
Aijun Li

Purpose The purpose of this paper is to present μ-synthesis-based robust attitude trajectory tracking control of three degree-of-freedom four rotor hover vehicle. Design/methodology/approach Comprehensive modelling of hover vehicle is presented, followed by development of uncertainty model. A μ-synthesis-based controller is designed using the DK iteration method that not only handles structured and unstructured uncertainties effectively but also guarantees robust performance. The performance of the proposed controller is evaluated through simulations, and the controller is also implemented on experimental platform. Simulation and experimental results validate that μ-synthesis-based robust controller is found effective in: solving robust attitude trajectory tracking problem of multirotor vehicle systems, handling parameter variations and dealing with external disturbances. Findings Performance analysis of the proposed controller guarantees robust stability and also ensures robust trajectory tracking performance for nominal system and for 15-20 per cent variations in the system parameters. In addition, the results also ensure robust handling of wind gusts disturbances. Originality/value This research addresses the robust performance of hover vehicle’s attitude control subjected to uncertainties and external disturbances using μ-synthesis-based controller. This is the only method so far that guarantees robust stability and performance simultaneously.


2012 ◽  
Vol 546-547 ◽  
pp. 850-855
Author(s):  
Ying Li ◽  
Xue Gong Ding

The robust ASAC(active structure acoustic control) model for the system of structural acoustical coupling is established and the μ-synthesis design is presented in the paper. The main idea is as follows: First, the robust performance problem of this system is transformed into the robust stability problem of an augmented system. Through the robust stability controller for this augmented system is solved by the standard D-K iteration. Simulation results show that μ-controller can provide good disturbance rejection and is more robust to parameter variations.


Information ◽  
2021 ◽  
Vol 12 (12) ◽  
pp. 512
Author(s):  
Alexander Mitov ◽  
Tsonyo Slavov ◽  
Jordan Kralev

The impossibility of replacing hydraulic drives with other type drives in heavy duty machinery is the main reason for the development of a system for controlling hydraulic power steering. Moreover, the need for remote automatic control of the steering in specific types of mobile machinery leads to significant scientific interest in the design of embedded systems for controlling electro-hydraulic steering units. This article introduces an approach, which has been developed by authors, for robust stability and robust performance analysis of two embedded systems for controlling electro-hydraulic power steering in mobile machinery. It is based on the suggested new more realistic “black box” SIMO model with output multiplicative uncertainty. The uncertainty is obtained by parameters confidence interval and Gauss approximation formula. The embedded control systems used a linear-quadratic Gaussian (LQG) controller and H∞ controller. The synthesis of the controllers was performed on the basis of a nominal part of an uncertainty model. Robust stability and robust performance analyses were performed in the framework of a so-called structured singular value, μ. The obtained theoretical results were experimentally approved by real experiments with both of the developed control systems, which were physically realized as a laboratory test rig.


1994 ◽  
Vol 6 (3) ◽  
pp. 237-242
Author(s):  
Toru Watanabe ◽  
◽  
Kazuo Yoshida

In this paper robust stability and robust performance between an ordinary H-infinity controller and μ-controller are compared for the case of vibration control of a flexible structure using two active dynamic vibration absorbers. The structure possesses eight transverse-torsional coupled vibration modes, and the aim of this study is to reduce transverse and torsional vibrations simultaneously. After some control experiments were carried out, it was confirmed that the μ-controller shows better robust stability and robust performance than an ordinary H-infinity controller


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