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Stabilization and passification of uncertain systems via static output feedback
2009
2009 IEEE International Conference on Control Applications
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Yet, this control strategy, also called passivity-based adaptive control, needs to be applied for the system to be passifiable. ...
The paper is devoted to the search of such linear combinations with practical efficient algorithms. Results are discussed in detail for an uncertain time-varying aircraft control example. ...
Based on the upper considerations, the following heuristic algorithm is proposed for robust stabilizing static output-feedback design 2-For this choice of λ apply Johnson's algorithm [12] and get matrices ...
doi:10.1109/cca.2009.5281026
dblp:conf/IEEEcca/PakshinP09
fatcat:hlm5yoopbbajvd27nurfihu7by
ELLIPSOIDAL SETS FOR STATIC OUTPUT FEEDBACK
2002
IFAC Proceedings Volumes
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The static output feedback synthesis for LTI systems is considered. ...
It is shown to have analogies with robust analysis, in particular the existence of an output feedback gain is equivalent to the existence of some quadratic separator. ...
This section is devoted to the static output feedback (SOF) stabilisability of linear time invariant (LTI), continuous-time systems. ...
doi:10.3182/20020721-6-es-1901.00195
fatcat:vllimbzl6rev5a2vzph5wpirbm
LMI conditions for robust adaptive control of MIMO LTI systems1
2007
IFAC Proceedings Volumes
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Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. ...
Linear Matrix Inequality based results are provided to guarantee that the adaptive algorithm passifies the system whatever the uncertain parameters in some given set. ...
Theorem 1 The closed-loop system (1) with static feedback u = F y + v is strictly passive with respect to the signals v, z = Gy +Dv if and only if there exist a symmetric positive-definite matrix P > 0 ...
doi:10.3182/20070829-3-ru-4911.00036
fatcat:xzzdhcmrefa2zl2gtpgxogxbtu
A cone complementarity linearization algorithm for static output-feedback and related problems
1997
IEEE Transactions on Automatic Control
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This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with nu (respectively ...
, n y ) independent inputs (respectively, outputs). ...
ACKNOWLEDGMENT The authors would like to thank the anonymous reviewers for their very helpful comments. ...
doi:10.1109/9.618250
fatcat:wqwmxfrsmzd3bnugawfznhe5ce
Fixed-order control of LTI systems subject to polytopic uncertainty via the concept of Strictly Positive Realness
2015
2015 American Control Conference (ACC)
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The proposed method is based on the concept of Strictly Positive Realness (SPRness) of a transfer function depending on a parameter-dependent gain. ...
To convert the problem to a set of LMI conditions, the parameterdependent gain is determined a priori by means of a parameterdependent state feedback controller. ...
Recently, several slack variable-based approaches to fixedorder controller design of polytopic systems, which rely on the concept of Strictly Positive Realness (SPRness) of transfer functions, have been ...
doi:10.1109/acc.2015.7171172
dblp:conf/amcc/SadabadiK15
fatcat:bx5lwgh2trhdpiugv6aadj6s5u
The discrete-time tracking problem with H∞ model matching approach plus integral control
2019
MATEC Web of Conferences
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In this study, the discrete-time H∞ model matching problem with integral control by using 2 DOF static output feedback is presented. First, the motivation and the problem is stated. ...
In following, the discrete-time H∞ MMP via LMI approach is derived as the main result. ...
output feedback controller K=[L M]R mx2m exists for the discrete-time H∞ MMP with integral control and the closed-loop system is internally stable if and only if there is a matrix From the Bounded Real ...
doi:10.1051/matecconf/201929201018
fatcat:5ortsp47d5bitbkewizyh6arze
From static output feedback to structured robust static output feedback: A survey
2016
Annual Reviews in Control
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This paper reviews the vast literature on static output feedback design for linear time-invariant systems including classical results and recent developments. ...
In particular, we focus on static output feedback synthesis with performance specifications, structured static output feedback, and robustness. ...
To these cases when the static output feedback design may be solved via one convex LMI, we add the following result from [18] that is also purely LMI, but based on three steps. ...
doi:10.1016/j.arcontrol.2016.09.014
fatcat:yo5k6hvsvfdgbnzufu7rmof4re
Robust Static Output Feedback Stabilization for Polytopic Uncertain Systems: Improving the Guaranteed Performance Bound
2003
IFAC Proceedings Volumes
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A new sufficient condition of robust stabilizability via static output feedback is proposed for polytopic uncertain systems. ...
It is based on a new parameterization of all static output feedback stabilizing gains and uses parameter-dependent Lyapunov functions to systematically reduce conservatism of the usual quadratic stability ...
via static output feedback. ...
doi:10.1016/s1474-6670(17)35701-4
fatcat:e63taoivljfsjl76g7cjt7zly4
Structured adaptive control for solving LMIs
2013
IFAC Proceedings Volumes
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The paper exposes one such continuous-time method for solving linear matrix inequalities. The proposed differential equations are those of an adaptive control feedback loop on an LTI system. ...
It for example reads as requiring the feedback gain to be symmetric when time goes to infinity. Point-wise global stability is proved with quadratic Lyapunov functions. ...
loop system strictly passive with respect to inputs w and outputs z. ...
doi:10.3182/20130703-3-fr-4038.00075
fatcat:yne4jy6thjaufjgixowg2aog4a
Robust adaptive -gain control of polytopic MIMO LTI systems — LMI results
2008
Systems & control letters (Print)
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Passification-based direct adaptive control is considered for polytopic uncertain linear time-invariant multi-input multi-output systems. ...
Moreover, it proves to be not worse than computable parameter-dependent static output-feedback controls with respect to L2 gain attenuation. A simple academic example illustrates the results. ...
Equivalently it corresponds to the existence of a static output-feedback u = F y + w P such that the closed-loop from w P to z P is strictly passive (the open-loop system is sometimes called almost strictly ...
doi:10.1016/j.sysconle.2008.04.005
fatcat:jv75dz5pgvb6bj6nklkcvpk27e
Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis
[article]
2020
arXiv
pre-print
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The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. ...
Exemplary, we extend the dual iteration to the multi-objective design of static output-feedback H_∞-controllers, which guarantee that the closed-loop poles are contained in an a priori specified generalized ...
The dual iteration for static output-feedback ∞ -design with generalized stability regions is explicitly stated as follows.
Algorithm 2. ...
arXiv:2007.00965v1
fatcat:7rvrqgcw4fchvgw3irb6x45p2u
Positive polynomial matrices and improved LMI robustness conditions
2003
Automatica
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Recently several new LMI conditions for stability of linear systems have been proposed, introducing additional slack variables to reduce the gap between conservative convex quadratic stability conditions ...
In this paper we show that these improved LMI conditions can be derived with the help of some basic results on positive polynomial matrices, providing a clear interpretation of the role of the additional ...
ACKNOWLEDGMENTS Thanks to Jos Sturm for providing beta versions of Se-DuMi 1.04 and 1.05. Comments by Michal Kvasnica and Gianni Bianchini were also appreciated. ...
doi:10.1016/s0005-1098(03)00129-8
fatcat:n3vdzsqkxzbjvozwlrvewc6thy
POSITIVE POLYNOMIAL MATRICES AND IMPROVED LMI ROBUSTNESS CONDITIONS
2002
IFAC Proceedings Volumes
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Recently several new LMI conditions for stability of linear systems have been proposed, introducing additional slack variables to reduce the gap between conservative convex quadratic stability conditions ...
In this paper we show that these improved LMI conditions can be derived with the help of some basic results on positive polynomial matrices, providing a clear interpretation of the role of the additional ...
ACKNOWLEDGMENTS Thanks to Jos Sturm for providing beta versions of Se-DuMi 1.04 and 1.05. Comments by Michal Kvasnica and Gianni Bianchini were also appreciated. ...
doi:10.3182/20020721-6-es-1901.00362
fatcat:2k5mgzptqjgtrl3e7cyhbybarm
Simultaneous stabilization via static output feedback and state feedback
1999
IEEE Transactions on Automatic Control
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Some necessary and sufficient conditions for simultaneous stabilizability of r r r strictly proper multi-input/multi-output (MIMO) plants via static output feedback and state feedback are obtained in the ...
A heuristic iterative algorithm based on the linear matrix inequality (LMI) technique is presented to solve the coupled matrix inequalities. ...
ACKNOWLEDGMENT The authors would like to thank the Associate Editor and anonymous reviewers for their constructive comments and suggestions. ...
doi:10.1109/9.769390
fatcat:r3nkfimmgrcqlecfilt3ujnfnm
An iterative Newton's method for output-feedback LQR design for large-scale systems with guaranteed convergence
2019
2019 18th European Control Conference (ECC)
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The proposed iterative method has a guaranteed convergence from an initial Lyapunov matrix, obtained for any stabilizing statefeedback gain, to a stabilizing output-feedback solution. ...
The paper proposes a novel iterative outputfeedback control design procedure, with necessary and sufficient stability conditions, for linear time-invariant systems within the linear quadratic regulator ...
The system (2) is said to be static output-
feedback stabilizable if and only if there exist a real matrix
F ∈ R nu×ny such that A − BF C is stable.
Theorem 1. ...
doi:10.23919/ecc.2019.8795752
dblp:conf/eucc/IlkaMS19
fatcat:2hbl4azcw5b2xcjxgurq5ju2ae
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