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Language constrained stabilization of discrete-time switched linear systems: a Lyapunov-Metzler inequalities approach
2016
2016 IEEE 55th Conference on Decision and Control (CDC)
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This paper addresses the issue of stabilizability of an autonomous discrete-time switched system via a switching law that is constrained to belong to a language generated by an nondeterministic finite ...
Secondly the approach considering Lyapunov-Metzler inequalities taking into account the language constraint for a strongly connected component is proposed. ...
Language constrained stabilization of discrete-time switched linear systems: a Lyapunov-Metzler inequalities approach
Marc Jungers, Antoine Girard and Mirko Fiacchini Abstract-This paper addresses the ...
doi:10.1109/cdc.2016.7799120
dblp:conf/cdc/JungersGF16
fatcat:jiuz7yzf4zhbnlro23t4ycyf4a
Hybrid Systems: Review and Recent Progress
[chapter]
2004
Software-Enabled Control
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An important special case is a linear hybrid automaton, in which the rates of change of the continuous variables are constant. ...
The final topic discussed in the chapter is the approximation of a continuous-time system by a discrete-event system (DES). The controller can then also be a DES. ...
Non-quadratic Lyapunov functions have also been used for studying the stability of switched linear systems [26] . ...
doi:10.1002/047172288x.ch14
fatcat:zjcsv5wcczcstleqzh6tgcgime
Converse Lyapunov theorems for discrete-time linear switching systems with regular switching sequences
[article]
2014
arXiv
pre-print
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We present a stability analysis framework for the general class of discrete-time linear switching systems for which the switching sequences belong to a regular language. ...
As a corollary of our results, we formulate an arbitrary accurate approximation scheme for estimating the asymptotic growth rate of switching systems with constrained switching sequences. ...
A discrete-time linear switching system is a switching system where each mode is represented by a linear difference equation. ...
arXiv:1410.7197v3
fatcat:tbybcnczczasha6mk3jc247dly
Stability Criteria for Switched and Hybrid Systems
2007
SIAM Review
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We begin our review by relating the stability problem for switched linear systems and a class of linear differential inclusions. ...
We then proceed by considering the stability of switched systems in which there are constraints on the switching rules, through both dwell-time requirements and state-dependent switching laws. ...
While the latter approach is difficult for general time-varying linear systems, the explicit form of the solution to (5.1) makes such an approach possible in the case of switched linear systems and gives ...
doi:10.1137/05063516x
fatcat:wf2hfl3x5rdzngmkhmb77rozyi
Path-complete p-dominant switching linear systems
[article]
2018
arXiv
pre-print
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The notion of path-complete p-dominance for switching linear systems (in short, path-dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI systems. ...
An algorithm for deciding the path-dominance of a given system is presented. ...
The use of path-complete Lyapunov functions has become standard in the stability analysis of (constrained) switching linear systems [7] , [6] . ...
arXiv:1808.09757v1
fatcat:mj32taepgbc7nlzm5io2jkgd4u
Modal occupation measures and LMI relaxations for nonlinear switched systems control
[article]
2014
arXiv
pre-print
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This paper presents a linear programming approach for the optimal control of nonlinear switched systems where the control is the switching sequence. ...
Because of the special structure of switched systems, we obtain a much more efficient method than could be achieved by applying standard moment/SOS LMI hierarchies for general optimal control problems. ...
The second category collects extensions of the performance indices H 2 and H ∞ originally developed for linear time invariant systems without switching, and use the flexibility of Lyapunov's approach, ...
arXiv:1404.4699v2
fatcat:bhqpakb4hrarvccymummiixnja
2021 Index IEEE Transactions on Systems, Man, and Cybernetics: Systems Vol. 51
2021
IEEE Transactions on Systems, Man & Cybernetics. Systems
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The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination. ...
., +, TSMC June 2021 3392-3400 Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems. ...
., +, TSMC Oct. 2021 6445-6456 Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems. ...
doi:10.1109/tsmc.2021.3136054
fatcat:b5hcsfwjw5hllpenqmaq6wpke4
Modal occupation measures and LMI relaxations for nonlinear switched systems control
2016
Automatica
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This paper presents a linear programming approach for the optimal control of nonlinear switched systems where the control is the switching sequence. ...
Because of the special structure of switched systems, we obtain a much more efficient method than could be achieved by applying standard moment/SOS LMI hierarchies for general optimal control problems. ...
The second category collects extensions of the performance indices H 2 and H ∞ originally developed for linear time invariant systems without switching, and use the flexibility of Lyapunov's approach, ...
doi:10.1016/j.automatica.2015.11.003
fatcat:5hz4wcwlkfe45p7p6i5c7swrly
2021 Index IEEE Transactions on Fuzzy Systems Vol. 29
2021
IEEE transactions on fuzzy systems
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The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination. ...
: An LMI Approach". ...
Con-trol for Nonlinear Large-Scale Systems: An LMI Approach". ...
doi:10.1109/tfuzz.2021.3134727
fatcat:m66dl6wxdbgendhdx4bliy6nky
2009 Index IEEE Transactions on Automatic Control Vol. 54
2009
IEEE Transactions on Automatic Control
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., +, TAC May 2009
938-951
Robust Stability and Stabilization of Fractional-Order Interval Systems: An
LMI Approach. Lu, J. ...
Fu, M., +, TAC May 2009 1165-1170 Flatness of Switched Linear Discrete-Time Systems. ...
., +, 1723 -1727 Switching-Driving Lyapunov Function and the Stabilization of the Ball-and-Plate System. 1881 -1886 The Spring Loaded Inverted Pendulum as the Hybrid Zero Dynamics of an Asymmetric ...
doi:10.1109/tac.2009.2037798
fatcat:4ilhkzss6jc63ersjzi47hiwgu
Hybrid Dynamical Systems: An Introduction to Control and Verification
2014
Foundations and Trends® in Systems and Control
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The financial supports of NSF-CNS-1239222 and NSF-CAREER-1253488 for this work are greatly acknowledged. ...
Then, stability checking for the arbitrary switching linear systems can be performed by solving certain LMIs. ...
For robust stabilization of polytopic uncertain switched linear systems, a quadratic stabilizing switching law was designed based on LMI techniques in [Zhai et al., 2003] . ...
doi:10.1561/2600000001
fatcat:kxr4yc3rjzet7kwzz7pcm6a2ri
Fourth special issue on linear systems and control
2002
Linear Algebra and its Applications
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∞ -control of linear state-delay descriptor systems: an LMI approach by E. ...
of real matrices. • Root counting, phase unwrapping, stability and stabilization of discrete time systems by L.H. ...
doi:10.1016/s0024-3795(02)00309-9
fatcat:uccrbt5drjfq3awgstlpbg5uba
Control systems engineering
1986
Microprocessors and microsystems
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Our research has been focused on the design of an output-based discrete-time sliding mode controller based on a linear state-space representation of the system. ...
An important advantage of MPC is that it allows the inclusion of constraints on the inputs and outputs. Usually MPC uses linear discrete-time models. ...
doi:10.1016/0141-9331(86)90308-x
fatcat:z4rjfal2uja3dnt3ptvvmk6buq
Control Systems Engineering
[chapter]
2010
Controlling Uncertainty
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Our research has been focused on the design of an output-based discrete-time sliding mode controller based on a linear state-space representation of the system. ...
An important advantage of MPC is that it allows the inclusion of constraints on the inputs and outputs. Usually MPC uses linear discrete-time models. ...
doi:10.1002/9781444328226.ch3
fatcat:vbg2pm3qang3ricvbfo65rlgdq
Black-box stability analysis of hybrid systems with sample-based multiple Lyapunov functions
[article]
2022
arXiv
pre-print
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We present a framework based on multiple Lyapunov functions to find probabilistic data-driven guarantees on the stability of unknown constrained switching linear systems (CSLS), which are switching linear ...
systems whose switching signal is constrained by an automaton. ...
We consider data-driven stability analysis of discrete-time switching linear systems. Dynamics of a switching linear system defined by a set of matrices Σ = {A i } i∈{1,... ...
arXiv:2205.00699v1
fatcat:b5ye6fshlnezfjnjuhqx35uima
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