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Dynamic Output Feedback Robust H_∞ Control of Uncertain Switched Nonlinear Systems
Min Wang,Jun Zhao,Georgi M. Dimirovski 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.1
The problem of robust H∞ control problem for a class of switched nonlinear systems with parameter uncertainty is studied by using single Lyapunov function method. The problem under switch-dependent and switch-independent dynamic output feedbacks is solved respectively. Sufficient conditions for solvability of the problem are obtained. The Lyapunov function and the corresponding switching law are explicitly constructed. A numerical example is given to demonstrate the validity of the proposed approach.
Disturbance Attenuation in Linear Systems Revisited
Jiqiang Wang,Hong Yue,Georgi Dimirovski 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.4
A variety of methods have been proposed for attenuating or rejecting disturbances in linear systems. Most of the approaches, however, are targeting the performance either near resonance or across the whole frequencyrange. Weighting functions can be utilized to shape the frequency response function over target frequencyband but they are usually of rule-of-thumb nature. A methodology is necessitated for designing controllers withperformance specified at any discrete frequency or over any desired frequency band. The paper aims to developsuch a methodology. Besides this, the proposed method can tell performance limitations and determine the problemof existence of optimal controllers, as well as providing a useful framework to improve the performance of anexisting controller. A number of important results are obtained and these results are subsequently validated througha practical application to a rotor blade example.
Jindong Shen,Yuanwei Jing,Georgi Marko Dimirovski 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.3
The fixed-time congestion control problem of TCP/AQM networks with UDP flows and un-modeled uncertainties has been studied thoroughly in this paper. The fluid-flow based TCP/AQM network system model is analyzed, and a fixed-time adaptive congestion control algorithm is proposed for the nonlinear network system model with unknown UDP flows and un-modeled uncertainty. The new control algorithm was derived using combined requirements for the fixed-time control and the prescribed performance control by employing the backstepping technique and the fuzzy approximation methodology. The universal approximation property of fuzzy-logic system models is used to deal with the external disturbance and the uncertainty that may appear in the network system. Using the prescribed performance technology, the transient and steady state performances of the tracking error are shown to have been enforced to meet the design requirements. Using the back-stepping methodology, a fixedtime AQM controller is designed so as to ensure that the fixed time of the closed-loop system response remains bounded. The obtained simulation results demonstrate the extent of effectiveness and superiority of the proposed design relative to known previous results.
Feedback Passivation of Switched Nonlinear Systems Using Storage-like Functions
Yanyan Liu,Goran S. Stojanovski,Mile J. Stankovski,Georgi M. Dimirovski,Jun Zhao 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.5
This paper addresses the issues of passivity and feedback passivation of switched nonlinear systems via multiple storage functions. The concept of storage-like functions for switched systems is presented. A sufficient condition for passivity of switched nonlinear systems is given via multiple storage functions under some switching signal. Then, the result is extended to find conditions under which a switched system is feedback equivalent to a passive switched system. Furthermore, passivity of switched cascade systems is investigated.