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Multivariable Optimal Control of a Direct AC/AC Converter under Rotating dq Frames

Yun Wan, Steven Liu, Jianguo Jiang
2013 Journal of Power Electronics (JPE)  
This paper presents the dq model of a Hexverter with both of its AC systems by state-space representation, which then simplifies the continuous time-varying model into a periodic discrete time-invariant  ...  It is appropriate for connecting two three-phase systems with different frequencies and driving an AC motor directly from a utility grid.  ...  The classic LQR theory for regulating a LTI system can be described as [18] : for a discrete-time LTI plant, a control law can be defined as the feedback of the multiplication of the control gain matrix  ... 
doi:10.6113/jpe.2013.13.3.419 fatcat:wqp3fgtuufeodnxcsfg4dozpzu

A New Stability Theory for Grünwald–Letnikov Inverse Model Control in the Multivariable LTI Fractional-Order Framework

Wojciech Przemysław Hunek, Łukasz Wach
2019 Symmetry  
The new general theory dedicated to the stability for LTI MIMO, in particular nonsquare, fractional-order systems described by the Grünwald–Letnikov discrete-time state–space domain is presented in this  ...  Control zeros constitute an extension of transmission zeros for nonsquare fractional-order LTI MIMO systems under inverse model control.  ...  Consider LTI MIMO discrete-time fractional-order plants S F−O described by the G-L state-space framework as in Equations Minimum-Phase Property of the Discrete-Time Fractional-Order Systems Taking into  ... 
doi:10.3390/sym11101322 fatcat:i23b6ushjzhdzm4yg4izgqocsu

Characterising Linear Spatio-Temporal Dynamical Systems in the Frequency Domain [article]

Hua-Liang Wei
2021 arXiv   pre-print
The introduction of the spatio-temporal transfer function should also facilitate the analysis of the dynamical stability of discrete-time spatio-temporal systems.  ...  A new concept, called the spatio-temporal transfer function (STTF), is introduced to characterise a class of linear time-invariant (LTI) spatio-temporal dynamical systems.  ...  continuous-time or discrete-time transfer functions, by means of the Fourier, Laplace or Z transforms, under some assumptions on the system initial conditions.  ... 
arXiv:2110.15830v1 fatcat:5zo5hqfizrerdbvaalmzdxwldi

On the gain margin improvement using dynamic compensation based on generalized sampled-data hold functions

Wei-Yong Yan, B.D.O. Anderson, R.R. Bitmead
1994 IEEE Transactions on Automatic Control  
This paper shows that the use of dynamic compensation based on generalized sampled-data hold hmdious (GSHF) can arbitrarily improve the gain margin for continuous-time mnminimum phase linear systems The  ...  An important advantage of periodic compensation over LTI compensation is found to be the capab'ity of  ...  More specifically, the gain margin can be arbitrarily assigned likewise for a multivariable continuous-time LTI plant by way of discretizing the plant with a sufficiently small sampling time and suitable  ... 
doi:10.1109/9.333791 fatcat:p3udmzuyorc5fh4txtkviwo4s4

Pole-free vs. stable-pole designs of minimum variance control for nonsquare LTI MIMO systems

W. Hunek
2011 Bulletin of the Polish Academy of Sciences: Technical Sciences  
This paper takes advantage of nonuniqueness of the inverse problem for nonsquare transfer function matrices of multivariable systems in order to select such poles, if any, of a minimum variance control  ...  The new designs contribute to an illustration and extension of the Davison's theory of (nonsquare) minimum phase systems, in that the lack or presence of (appropriate) control zeros can provide a required  ...  System representations Consider an n u -input n y -output linear time-invariant (LTI) discrete-time system with the input u(t) and the output y(t), described by possibly rectangular (nonzero) transfer  ... 
doi:10.2478/v10175-011-0025-y fatcat:enoiuybaubhe7fskrvnawtv3xm

The role of nonminimum phase zeros in the transient response of multivariable systems

Robert Schmid, Amit Pandey
2011 IEEE Conference on Decision and Control and European Control Conference  
Much of the available literature deals with scalar-input scalar-output systems. In this paper we consider the role of nonminimum phase zeros on the transient response of multivariable systems.  ...  Nonminimum phase zeros are known to cause fundamental performance limitations in the system transient response, particularly undershoot and overshoot.  ...  E-mail: rschmid@unimelb.edu.au; amitpandey.ent@gmail.com MIMO systems; the design method was applicable to some nonminimum phase systems, and could be applied to both continuous-time and discrete-time  ... 
doi:10.1109/cdc.2011.6160546 dblp:conf/cdc/SchmidP11 fatcat:pnx6sy7irzamhm4zlw3ptzo5ly

Identification of parallel Wiener-Hammerstein systems with a decoupled static nonlinearity

M. Schoukens, K. Tiels, M. Ishteva, J. Schoukens
2014 IFAC Proceedings Volumes  
This decoupled nature makes the interpretation of the obtained model more easy. First a coupled parallel Wiener-Hammerstein model is estimated.  ...  Block-oriented models are often used to model a nonlinear system.  ...  The BLAs are parameterized using a discrete time LTI model of order 12 in both the numerator and denominator.  ... 
doi:10.3182/20140824-6-za-1003.00496 fatcat:okx33eqqozfk7kj2hxrkawdz74

Table of Contents

2021 IEEE Transactions on Automatic Control  
Garone 5037 Comment on "LaSalle-Type Theorem and Its Applications to Infinite Horizon Optimal Control of Discrete-Time Nonlinear Stochastic Systems" . . . . . . . . . . . . . . . . . . . . . . . . . .  ...  Li 4960 Distributed Observers for LTI Systems With Finite Convergence Time: A Parameter-Estimation-Based Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ... 
doi:10.1109/tac.2021.3108656 fatcat:hhim3rkmzfdm5ep7yjz2yl2pu4

Trade-offs among Conflicting Objectives in Robust Control Design [chapter]

Brian D.O. Anderson, Wei-Yong Yan, Robert R. Bitmead
1992 Control and Dynamic Systems  
The overall thrust is to work with S(s) rather than C(s); once S(s) is known, C(s) of course follows easily. B. Interpolation Properties of S(s) Recall that pi is a pole in Re[s] 2 0 of P(s).  ...  There are two key relevant ideas, one tied to interpolation properties of S(s) and the other tied to mapping properties.  ...  DESIGN 37 LTI compensation, as well as in gain margin improvement for multivariable continuou~.time LTI systems.  ... 
doi:10.1016/b978-0-12-012750-4.50007-x fatcat:i62qiaw3crefrcrhsh5hnz6ony

LTI Modelling of Active Magnetic Bearings by Means of System Identification

P.A. van Vuuren, G. van Schoor, W.C. Venter
2011 SAIEE Africa Research Journal  
The resultant graph is quite useful in the specification of suitable excitation signals when AMBs are to be modelled by means of system identification.  ...  Frequency-induced nonlinearity is characterised by means of a novel graphical representation.  ...  At present, it is easier to model multivariable systems by means of discrete-time system identification than with continuous-time techniques * * .  ... 
doi:10.23919/saiee.2011.8532173 fatcat:fwbuw3b3pjepxkzlklxyaciyca

Bode's Sensitivity Integral Constraints: The Waterbed Effect in Discrete Time [article]

Abbas Emami-Naeini, Dick de Roover
2019 arXiv   pre-print
In this paper, we will address the same problem, but now in discrete time. Although similar to the continuous case, the discrete-time case poses its own peculiarities and subtleties.  ...  The main result is that the sensitivity integral constraint is crucially related to the locations of the unstable open-loop poles of the system. This makes much intuitive sense.  ...  SENSITIVITY CONSTRAINTS FOR MIMO SYSTEMS In this section we present two theorems for multivariable discrete time systems.  ... 
arXiv:1903.01225v1 fatcat:hhc4qkxjw5c2dhwfyjie3lkgti

Page 735 of Mathematical Reviews Vol. , Issue 90A [page]

1990 Mathematical Reviews  
This paper presents an identification method of nonminimum phase linear time-invariant (NMP-LTI) systems, using the second- and higher-order statistics (1-D versions of the cumulants) of the output.  ...  An identification algorithm for a linear, discrete-time stochastic system is given which uses information on the covariance struc- ture of the input and measurement errors.  ... 

Loop-shaping techniques applied to the least-mean-squares algorithm

T. J. Moir
2010 Signal, Image and Video Processing  
It is shown that despite the fact that LMS is a time-variant system that in fact it behaves much as a linear time-invariant (LTI) closed-loop control system.  ...  Moreover, it is then shown that classical control-based loop-shaping techniques can be used to improve the performance of the algorithm.  ...  Consider the discrete multivariable system shown in Fig. 9 .  ... 
doi:10.1007/s11760-010-0157-9 fatcat:4vnlmb5c2jfobptmbzevcyy5nm

Feedback Stabilization Over Signal-to-Noise Ratio Constrained Channels

Julio H. Braslavsky, Richard H. Middleton, James S. Freudenberg
2007 IEEE Transactions on Automatic Control  
A mathematically precise treatment of continuous-time stochastic systems requires the theory of stochastic differential equations.  ...  In the case of LTI output feedback, additional limitations are shown to apply if the plant is nonminimum phase.  ...  A discrete-time system obtained by discretizing a finite dimensional continuous-time system will generally have relative degree one; however, a continuous-time system with a pure time delay will yield  ... 
doi:10.1109/tac.2007.902739 fatcat:zbgspa77mnhe7pss3qzmxdp23i

Classical and Simple Adaptive Control for Nonminimum Phase Autopilot Design

Itzhak Barkana
2005 Journal of Guidance Control and Dynamics  
Phase [deg] Frequency [Rad/sec] Closed-loop Bode plot of the plant with LTI controller.  ...  , H., and Maruoka, G., “Discrete-Time Simplified Adap- tive Control of a DC Motor Based on Asymptotic Output Tracker,” Trans- actions of the Institute of Electrical Engineers of Japan, Vol. 120-D, No.  ... 
doi:10.2514/1.9542 fatcat:yfb6n223krhsdbqpfkf6nmw2dq
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