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

@article{Aranovskiy2015RobustPP,
  title={Robust PI passivity-based control of nonlinear systems: Application to port-Hamiltonian systems and temperature regulation},
  author={Stanislav Aranovskiy and Romeo Ortega and Rafael Cisneros},
  journal={2015 American Control Conference (ACC)},
  year={2015},
  pages={434-439}
}
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 operating point. Our main contribution is the identification of a class of systems for which a globally stable PI can be designed knowing only the systems input matrix and measuring only the actuated coordinates. The construction of the PI is done invoking passivity theory. The difficulties… 
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10 Citations
Background Citations
4
Methods Citations
2

10 Citations

A robust PI passivity‐based control of nonlinear systems and its application to temperature regulation
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…
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References

SHOWING 1-10 OF 40 REFERENCES
Robust integral control of port-Hamiltonian systems: The case of non-passive outputs with unmatched disturbances
  • R. Ortega, J. G. Romero
  • Mathematics
    IEEE Conference on Decision and Control and European Control Conference
  • 2011
On the addition of integral action to port-controlled Hamiltonian systems
Proportional Plus Integral Control for Set-Point Regulation of a Class of Nonlinear RLC Circuits
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…
Adaptive PI Stabilization of Switched Power Converters
TLDR
The methodology is applied to the problem of power factor compensation of a 3-phase voltage source rectifier, already considered in a previous paper, which is revisited from the incremental passivity perspective yielding simpler proofs.
Robust energy shaping control of mechanical systems
Continuous stirred tank reactors: easy to stabilise?
Adaptive Control: Stability, Convergence and Robustness
The deterministic theory of adaptive control (AC) is presented in an introduction for graduate students and practicing engineers. Chapters are devoted to basic AC approaches, notation and fundamental…
Analysis via Passivity Theory of a Class of Nonlinear PID Global Regulators for Robot Manipulators
We present a simple global asymptotic stability analysis, by using passivity theory for a class of nonlinear PID regulators for robot manipulators. Nonlinear control structures based on the classical…
A passivity-based PI control design for DC-drives
TLDR
A new controller design method is developed for the control of separately excited dc motors, fed by a three phase PWM ac-dc converter, and it is proven that the system is always passive independently from the way the converter is regulated.
Positive diagonal solutions to the Lyapunov equations
We study various stability type conditions on a matrix A related to the consistency of the Lyapunov equation AD+DAt positive definite, where D is a positive diagonal matrix. Such problems arise in…
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