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Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear RLC circuits

Bayu Jayawardhana, Romeo Ortega, Eloísa García-Canseco, Fernando Castaños
2007 Systems & control letters (Print)  
In this paper, we identify a class of nonlinear passive systems of the formẋ = f(x) + gu, y = h(x) whose incremental model is also passive.  ...  Using this result we then prove that a large class of nonlinear RLC circuits with strictly convex electric and magnetic energy functions and passive resistors with monotonic characteristic functions are  ...  Acknowledgments We thank the anonymous reviewer for several suggestions that helped to improve the clarity of our work and, in particular, for pointing out an error in the previous proof of Proposition  ... 
doi:10.1016/j.sysconle.2007.03.011 fatcat:cfa5xz4hjrenvlhuef4defon3i

Passivity of Nonlinear Incremental Systems: Application to PI Stabilization of Nonlinear RLC Circuits

Bayu Jayawardhana, Romeo Ortega, Eloisa Garcia-Canseco, Fernando Castanos
2006 Proceedings of the 45th IEEE Conference on Decision and Control  
Passivity of Nonlinear Incremental Systems: Application to PI Stabilization of Nonlinear RLC Circuits Bayu Jayawardhana, Romeo Ortega, Eloísa García-Canseco and Fernando Castaños Abstract-It is well known  ...  PI STABILIZATION OF NONLINEAR RLC CIRCUITS In this section, we prove that a large class of nonlinear RLC circuits-with convex electric and magnetic energy functions and passive resistors with monotonic  ... 
doi:10.1109/cdc.2006.377132 dblp:conf/cdc/JayawardhanaOGC06 fatcat:p3mabwvffzgxjmqylo52mlyknm

Proportional Plus Integral Control for Set-Point Regulation of a Class of Nonlinear RLC Circuits

Fernando Castaños, Bayu Jayawardhana, Romeo Ortega, Eloísa García-Canseco
2009 Circuits, systems, and signal processing  
In this paper we identify graph-theoretic conditions which allow us to write a nonlinear RLC circuit as port-Hamiltonian with constant input matrices.  ...  We show that under additional monotonicity conditions on the network's components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity.  ...  This work is a sequel of [14] , where we investigated the important property of relative passivity of general nonlinear systems and applied it to PI stabilization of a restricted class of RLC circuits  ... 
doi:10.1007/s00034-009-9103-x fatcat:pzdwji424ng7pn3hjbjyakpwty

Robust PI passivity-based control of nonlinear systems: Application to port-Hamiltonian systems and temperature regulation

S. Aranovskiy, R. Ortega, R. Cisneros
2015 2015 American Control Conference (ACC)  
This paper deals with the problem of control of partially known nonlinear systems, which have an open-loop stable equilibrium, but we would like to add a PI controller to regulate its behavior around another  ...  The construction of the PI is done invoking passivity theory. The difficulties encountered in the design of adaptive PI controllers with the existing theoretical tools are also discussed.  ...  This include, RLC circuits [4] , power converters [5] , fuel cells [6] , electric drives [7] and mechanical systems [8] .  ... 
doi:10.1109/acc.2015.7170774 dblp:conf/amcc/AranovskiyOC15 fatcat:62s4s4wopvae3mcyzn56xz6h74

A Class of Nonlinear RLC Circuits Globally Stabilizable by Proportional plus Integral Controllers

Fernando Castaños, Bayu Jayawardhana, Romeo Ortega, Eloísa García-Canseco
2008 IFAC Proceedings Volumes  
In this note we identify graph-theoretic conditions which allow to write an RLC circuit as port-Hamiltonian with constant input matrices.  ...  We show that under additional monotonicity conditions of the network's components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity.  ...  We show that a very large class of RLC circuits enjoys the relative passivity property and can, therefore, be stabilized via PI control.  ... 
doi:10.3182/20080706-5-kr-1001.01047 fatcat:amlmutyosrbyveeoxpecnpzeti

Nearest Neighbor Control For Practical Stabilization of Passive Nonlinear Systems [article]

M. Z. Almuzakki and B. Jayawardhana and A. Tanwani
2021 arXiv   pre-print
This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set  ...  for incrementally passive systems).  ...  Passivity of nonlinear incremental systems: Application to publik Indonesia (LPDP-RI) under contract No. PRJ- PI stabilization of nonlinear RLC circuits.  ... 
arXiv:2003.13284v2 fatcat:53734f6nhveczca6by3xz3rgge

Toward Distributed Stability Analytics for Power Systems with Heterogeneous Bus Dynamics [article]

Peng Yang, Feng Liu, Zhaojian Wang, Chen Shen, Jun Yi, Weifang Lin
2019 arXiv   pre-print
The stability issue emerges as a growing number of diverse power apparatus connecting to the power system.  ...  This paper derives a local passivity index condition that guarantees the system-wide stability for lossless power systems with interconnected, nonlinear, heterogeneous bus dynamics.  ...  Scherpen, “Power shaping: A Circuits and systems, vol. 27, no. 11, pp. 1102–1112, 1980. new paradigm for stabilization of nonlinear rlc circuits,” IEEE Trans. [4] H.-D.  ... 
arXiv:1908.00752v1 fatcat:ivfrlsx3ifbkdnpe7hz6on72ta

A robust PI passivity-based control of nonlinear systems and its application to temperature regulation

Stanislav Aranovskiy, Romeo Ortega, Rafael Cisneros
2015 International Journal of Robust and Nonlinear Control  
To cite this version: Stanislav Aranovskiy, Romeo Ortega, Rafael Cisneros. A robust PI passivity-based control of nonlinear systems and its application to temperature regulation.  ...  SUMMARY This paper deals with the problem of control of partially known nonlinear systems, which have an openloop stable equilibrium, but we would like to add a PI controller to regulate its behavior around  ...  This include, RLC circuits [3] , power converters [4] , fuel cells [5] , electric drives [6] and mechanical systems [7] .  ... 
doi:10.1002/rnc.3404 fatcat:fswlolcotvd6hlk3fggio4h2sa

First Order Mem-Circuits: Modeling, Nonlinear Oscillations and Bifurcations

Ricardo Riaza
2013 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
We allow for fully nonlinear characteristics in all circuit elements, arriving at a rather exhaustive taxonomy of C^1-devices.  ...  We explore in this paper the potential extent of nonlinear circuit theory by classifying such mem-devices in terms of the variables involved in their constitutive relations and the notions of the differential  ...  Di Ventra (University of California, San Diego) and C. Tischendorf (University of Cologne, Germany).  ... 
doi:10.1109/tcsi.2012.2221174 fatcat:5uo2qpzfgbd5rmlbvmrcn4h3ca

Global Tracking Passivity--based PI Control of Bilinear Systems and its Application to the Boost and Modular Multilevel Converters [article]

R. Cisneros, M. Pirro, G. Bergna, R. Ortega, G. Ippoliti, M. Molinas
2015 arXiv   pre-print
Instrumental to establish the result is the construction of an output signal with respect to which the incremental model is passive.  ...  This paper deals with the problem of trajectory tracking of a class of bilinear systems with time--varying measurable disturbance.  ...  See also Castaños et al. (2009) for its application to PI stabilization of RLC circuits and Hernandez-Gomez et al. (2010) where the result is used in power converters.  ... 
arXiv:1503.07376v1 fatcat:xmhjvg6xtfcrhduiqbsm5lqibu

Constant Power Load Stabilization in DC Microgrid Systems Using Passivity-Based Control with Nonlinear Disturbance Observer

Mustafa Alrayah Hassan, Yigang He
2020 IEEE Access  
This strategy is designed to stabilize and regulate the dc-bus voltage of the dc microgrid and to eliminate the dc-bus voltage deviations caused by the system disturbances such as load and input voltage  ...  To this end, the control robustness of the PBC strategy is improved by adding the nonlinear disturbance observer (NDO).  ...  The linear resistanceinductance-capacitance (RLC) circuit is a simple example to represent the passive system.  ... 
doi:10.1109/access.2020.2992780 fatcat:2k3y6p5j4vcprh676dmco7rfr4

Power-Controlled Hamiltonian Systems: Application to Electrical Systems with Constant Power Loads [article]

Pooya Monshizadeh, Juan E. Machado, Romeo Ortega, Arjan van der Schaft
2018 arXiv   pre-print
The applicability of the results is illustrated with the important problem of stability analysis of electrical circuits with constant power loads.  ...  A suitable framework is provided to model these systems and to investigate their shifted passivity properties, based on which, a stability analysis is carried out.  ...  Monshizadeh was supported by the STW Perspective program "Energy Autonomous Smart Microgrids" under the auspices of the project "Robust Design of Cyber-physical Systems". The work of Juan E.  ... 
arXiv:1802.02483v1 fatcat:jhamoulc7nhgfjp5m72hz33jwa

A Comprehensive Review on Constant Power Loads Compensation Techniques

Eklas Hossain, Ron Perez, Adel Nasiri, Sanjeevikumar Padmanaban
2018 IEEE Access  
Despite its advantages, microgrid has to operate with a significant proportion of constant power loads that exhibit negative incremental impedance and thus cause serious instability in the system.  ...  INDEX TERMS Constant power load, feeder side compensation, load side compensation, negative incremental impedance, stabilization of ac microgrid, stabilization of dc microgrid.  ...  Linear RLC circuit with a CPL, where the RLC circuit is used as a filter, r c is a resistive load which represents constant voltage loads (CVL) [59].  ... 
doi:10.1109/access.2018.2849065 fatcat:k6yaichrsjelpao7cxwgpb67aa

2020 Index IEEE Transactions on Circuits and Systems II: Express Briefs Vol. 67

2020 IEEE Transactions on Circuits and Systems - II - Express Briefs  
., Design of a Single Chip PWM Driver Circuit for Inverter Welding Power Source; TCSII April 2020 720-724 Jacobsson, S., see Castaneda, O., TCSII May 2020 891-895 Jafari, E., and Binazadeh, T., Robust  ...  Mohamed, A., TCSII Sept. 2020 1529-1533 Qi, T., see Haider, M.F., TCSII Dec. 2020 3013-3017 Qi, W., Gao, M., Ahn, C.K., Cao, J., Cheng, J., and Zhang, L., Quantized Fuzzy Finite-Time Control for Nonlinear  ...  ., +, TCSII March 2020 595-599 An Improved Stability Theorem for Nonlinear Systems on Time Scales With Application to Multi-Agent Systems.  ... 
doi:10.1109/tcsii.2020.3047305 fatcat:ifjzekeyczfrbp5b7wrzandm7e

Structural characterization of classical and memristive circuits with purely imaginary eigenvalues

Ricardo Riaza, Caren Tischendorf
2011 International journal of circuit theory and applications  
The analysis is shown to hold not only for classical (RLC) circuits but also for nonlinear circuits including memristors and other mem-devices.  ...  The hyperbolicity problem in circuit theory concerns the existence of purely imaginary eigenvalues (PIEs) in the linearization of the time-domain description of the circuit dynamics.  ...  These devices are being the object of much ongoing research in nonlinear circuit theory and electronics, not only from an analytical point of view [5, 14, 33, 41, 50, 54, 55] but also regarding applications  ... 
doi:10.1002/cta.798 fatcat:v2z7mwpdz5dwfiso62jnglrwvm
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