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Realizability Is Controllability [chapter]

Niels Lohmann, Karsten Wolf
2010 Lecture Notes in Computer Science  
This way of thinking makes algorithms for controllability available for reasoning about realizability. In addition, it suggests alternative definitions for realizability.  ...  In this paper, we show that realizability can be traced back to the problem of controllability which askes whether a service has compatible partner processes.  ...  Acknowledgements This work is funded by the DFG project "Operating Guidelines for Services" (WO 1466/8-1).  ... 
doi:10.1007/978-3-642-14458-5_7 fatcat:ijl5wxkg7zhnfe6gmiq64ajqw4

Stability is realization-dependent: some examples

Hans Zwart, Yutaka Yamamoto, Yasuhisa Gotoh
1995 Systems & control letters (Print)  
This paper gives some examples with the same impulse response, both approximately controllable and observable, but one of them is exponentially stable and the other is unstable.  ...  Acknowledgment The second author is supported in part by the Tateishi Science and Technology Foundation. We want to thank Raimund Ober for sending us [3, 5] .  ...  Hence, a natural question is if the stability property of a realization is the same among all approximately controllable and observable realizations which have the same spectrum.  ... 
doi:10.1016/0167-6911(93)e0157-c fatcat:tq5kncxhazdetaeopws6pongia

Minimal realization in the max algebra is an extended linear complementarity problem

Bart De Schutter, Bart De Moor
1995 Systems & control letters (Print)  
We also give a geometrical description of the set of all minimal realizations of a SISO max-linear discrete event system.  ...  In this paper we demonstrate that the minimal state space realization problem in the max algebra can be transformed into an Extended Linear Complementarity Problem (ELCP).  ...  And it is certainly the first time that a complete description of the set of all minimal realizations of a SISO max-linear discrete event system is given.  ... 
doi:10.1016/0167-6911(94)00062-z fatcat:yppi64uqcjbrxfe4r6qhhtzqca

Bilinear realizability is equivalent to existence of a singular affine differential i/o equation

Eduardo D. Sontag
1988 Systems & control letters (Print)  
For continuous time analytic input/output maps, the existence of a singular differential equation relating derivatives of controls and outputs is shown to be equivalent to bilinear realizability.  ...  These results, which provide analogues for nonlinear systems of the fact that a transfer function can be realized by a finite dimensional linear system if and only if it is rational, are useful for instance  ...  If one were to restrict attention just to controls that never vanish, then there would of course be a realization.  ... 
doi:10.1016/0167-6911(88)90057-6 fatcat:22iarojd5zaohlxfvxwxiryrla

A Novel Structure to Realize Memory Cell Fluctuation Under Voltage Control in Ising Chip

Zhi WANG, Shu-ming CHEN, Jian ZHANG
2017 Proceedings of the International Conference on Computer Networks and Communication Technology (CNCT 2016)   unpublished
Because large scale of time is spent to introduce randomness in reading memory cells by row, which reduces the effective computing time.  ...  But the solution accuracy of realizing indeterminate computing with circuit's noise performed significantly worse than that with external random number.  ...  This paper presents a novel structure to realize memory cell fluctuation under voltage control, which can intentionally induce memory error to all spin configurations with just one dummy read operation  ... 
doi:10.2991/cnct-16.2017.59 fatcat:hos7qejuwbginewhmdhldxtk4a

Design for realizing arbitrary fractional divider based on FPGA which duty cycle is up to 50%

Songwei Zhang, Cheng Zhao
2013 Proceedings of the 2nd International Symposium on Computer, Communication, Control and Automation   unpublished
This paper proposes a novel method for realizing arbitrary fractional divider based on FPGA.  ...  When the division factor is greater than 128, the duty cycle can be very close to 50% of the clock output. This method is proved to be feasible on the FPGA chip of ALTERA.  ...  ACKNOWLEDGMENT This paper is jointly sponsored by the laboratory of Aviation Science Fund Project (20105155003) and the Education Department of Henan province science and technology research projects (  ... 
doi:10.2991/isccca.2013.15 fatcat:vu4smizsd5bcvjl5ldrkvnihy4

Design of a Non Fragile Optimal Controller Realization for Vehicle Suspension System for Different Road Profiles

M. Abid Saeed, Niaz Ali, Muhammad Waqas, Anees ur rehman
2014 IOSR Journal of Electronics and Communication Engineering  
Besides, different types of realization techniques (minimal realization, balanced realization, modal realization, observer canonical realization) are compared for minimum fragility in controller implementation  ...  It is observed and shown that observer based controller has better response than Linear Quadratic Regulator (LQR) controller.  ...  Fig. 10 : 10 Fig.10: Minimal Realization of observer based controller response 4.5 Balanced realization Difference between the LQR controller and balanced realization response is plotted as shown in Fig  ... 
doi:10.9790/2834-09156472 fatcat:zionqfe47zbdviizathy74suv4

Controller realizations of a teleoperated dual-wrist assembly system with finite word length considerations

R.S.H. Istepanian, Jun Wu, J.F. Whidborne
2001 IEEE Transactions on Control Systems Technology  
Comparative analytical and numerical results show that the sparse FWL controller realizations provide minimum bit lengths, with maximum trivial elements in the controller coefficients and higher stability  ...  bounds compared to nonoptimal realization.  ...  realization is used.  ... 
doi:10.1109/87.930973 fatcat:gcgtghltsbfejahoxtp6saco3m

On Structured Realizability and Stabilizability of Linear Systems [article]

Laurent Lessard, Maxim Kristalny, Anders Rantzer
2012 arXiv   pre-print
A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the associated graph.  ...  In particular, we show that a structured stabilizing controller can only exist when the plant admits a structured realization.  ...  This shows that the controller is S-realizable, as required.  ... 
arXiv:1212.1839v1 fatcat:eowubp43rraldgm6cmmvgrc4wq

On structured realizability and stabilizability of linear systems

Laurent Lessard, Maxim Kristalny, Anders Rantzer
2013 2013 American Control Conference  
A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the associated graph.  ...  In particular, we show that a structured stabilizing controller can only exist when the plant admits a structured realization.  ...  This shows that the controller is S-realizable, as required.  ... 
doi:10.1109/acc.2013.6580744 fatcat:4xezfpuejrdxnjdpjkxgkofrua

Realizability and Internal Model Control on Networks [article]

Anders Rantzer
2019 arXiv   pre-print
It is proved that network realizability of controllers can be enforced without conservatism using convex constraints on the closed loop transfer function.  ...  Once a network realizable closed loop transfer matrix has been found, a corresponding controller can be implemented using a network structured version of Internal Model Control.  ...  A notable example is controller complexity, measured by the number of states needed in the realization.  ... 
arXiv:1812.07748v2 fatcat:iwts5y7525h4td6jffkj6t4pw4

Symbolic representation for analog realization of a family of fractional order controller structures via continued fraction expansion

Anindya Pakhira, Saptarshi Das, Indranil Pan, Shantanu Das
2015 ISA transactions  
However, approximation of the controllers studied in this paper, due to having fractional power of a rational transfer function, is not available in analog domain; although its digital realization already  ...  This motivates us for applying CFE based analog realization technique for complicated FO controller structures to get equivalent rational transfer functions in terms of the controller tuning parameters  ...  In this paper, analog realization of few FO controllers, having relatively complex structure is reported.  ... 
doi:10.1016/j.isatra.2015.01.007 pmid:25661163 fatcat:r6gntbkmjraibnlu7be4r56s74

Reliability Systems and Optimal Control – Goal Realization Probability

Aleksandra Rajcevic
2020 American Journal of Applied Mathematics  
Realization wanted output or goal realization is calculated as intersection projected system parts realizations with determined probability.  ...  Optimal control and managing assigned goals of system are considered after control actions were assigned with a determined probability of realization.  ...  In real systems most often control on object is realized with few control actions, which are limited with some boundary conditions.  ... 
doi:10.11648/j.ajam.20200806.11 fatcat:lrhm5r2vk5hm5ltuyhkrwisto4

Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators

S. Chen, R.H. Istepanian, J. Wu, J. Chu
2000 Systems & control letters (Print)  
A uniÿed approach is established to optimize a closed-loop stability lower bound for FWL controller structures.  ...  Two numerical examples are given, and the simulation results show that the optimal FWL controller realizations with the delta operator have better closed-loop stability margins than those with the shift  ...  The ASA algorithm is detailed in [9, 2] . Optimal FWL PID controller realizations In this section, we speciÿcally discuss the optimal realization problem of digital PID controllers.  ... 
doi:10.1016/s0167-6911(00)00016-5 fatcat:qeolitxzqzbddg4aekbtv2e4ga

Control of an experimental mini quad-rotor UAV

Alexandros Soumelidis, Peter Gaspar, Gergely Regula, Bela Lantos
2008 2008 16th Mediterranean Conference on Control and Automation  
The design and the initial realization of control on an experimental in-door unmanned autonomous quadrotor helicopter is presented.  ...  This is a hierarchical embedded modelbased control scheme that is built upon the concept of backstepping, and is applied on an electric motor-driven quadrotor UAV hardware that is equipped with an embedded  ...  Revolution or torque control is realized on the basis of several control methods, from the conventional PID control until optimal and robust state-space realizations.  ... 
doi:10.1109/med.2008.4602174 fatcat:bihbom3umbd65kepibq3r3ft2e
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