Lecture Notes in Control and Information Sciences, 2012
ABSTRACT Stabilizing cascade observer-controller schemes for a class of nonlinear retarded system... more ABSTRACT Stabilizing cascade observer-controller schemes for a class of nonlinear retarded systems are presented in this chapter. Conditions for the local and global asymptotic stability of the closed loop system are provided. Such conditions allow the separate design of the observer and of the controller subsystems (separation theorems).
Proceedings of 1994 33rd IEEE Conference on Decision and Control
An approximation theory for the linear quadratic Gaussian control problem for a class of heredita... more An approximation theory for the linear quadratic Gaussian control problem for a class of hereditary systems is developed. Examples of application are reported
International Journal of Robust and Nonlinear Control, 2003
This paper investigates the issue of the internal stability of nonlinear delay systems controlled... more This paper investigates the issue of the internal stability of nonlinear delay systems controlled with a feedback law that performs exact input–output, linearization and delay cancellation. In previous works the authors showed that, unlike with the case of systems without state delays, when the relative degree is equal to the number of state variables and the output is forced to be identically zero, delay systems still possess a non‐trivial internal state dynamics. Not only, in the same conditions delay systems are also characterized by a non‐trivial input dynamics. Obviously, both internal state and input dynamics should give bounded trajectories, otherwise the exact input–output linearization and delay cancellation technique cannot be applied. This paper studies the relationships between the internal state and input dynamics of a controlled nonlinear delay system. An interesting result is that a suitable stability assumption on the internal state dynamics ensures that, when the ou...
We project a novel digital control law for continuous stirred tank reactors, based on sampled mea... more We project a novel digital control law for continuous stirred tank reactors, based on sampled measures of temperatures and reactant concentration, as it happens in practice. The methodology of relative degree preservation under sampling is used. It is proved that a suitably approximated sampled system, obtained by Taylor series expansion and truncation, in closed loop with the projected control law, is asymptotically stable, provided that a condition on the sampling period is verified. Such condition allows for values of the sampling period larger than necessary in practical implementation with usual technology. Many simulations show the high performance of the proposed digital control law.
Lecture Notes in Control and Information Sciences, 2012
ABSTRACT Stabilizing cascade observer-controller schemes for a class of nonlinear retarded system... more ABSTRACT Stabilizing cascade observer-controller schemes for a class of nonlinear retarded systems are presented in this chapter. Conditions for the local and global asymptotic stability of the closed loop system are provided. Such conditions allow the separate design of the observer and of the controller subsystems (separation theorems).
Proceedings of 1994 33rd IEEE Conference on Decision and Control
An approximation theory for the linear quadratic Gaussian control problem for a class of heredita... more An approximation theory for the linear quadratic Gaussian control problem for a class of hereditary systems is developed. Examples of application are reported
International Journal of Robust and Nonlinear Control, 2003
This paper investigates the issue of the internal stability of nonlinear delay systems controlled... more This paper investigates the issue of the internal stability of nonlinear delay systems controlled with a feedback law that performs exact input–output, linearization and delay cancellation. In previous works the authors showed that, unlike with the case of systems without state delays, when the relative degree is equal to the number of state variables and the output is forced to be identically zero, delay systems still possess a non‐trivial internal state dynamics. Not only, in the same conditions delay systems are also characterized by a non‐trivial input dynamics. Obviously, both internal state and input dynamics should give bounded trajectories, otherwise the exact input–output linearization and delay cancellation technique cannot be applied. This paper studies the relationships between the internal state and input dynamics of a controlled nonlinear delay system. An interesting result is that a suitable stability assumption on the internal state dynamics ensures that, when the ou...
We project a novel digital control law for continuous stirred tank reactors, based on sampled mea... more We project a novel digital control law for continuous stirred tank reactors, based on sampled measures of temperatures and reactant concentration, as it happens in practice. The methodology of relative degree preservation under sampling is used. It is proved that a suitably approximated sampled system, obtained by Taylor series expansion and truncation, in closed loop with the projected control law, is asymptotically stable, provided that a condition on the sampling period is verified. Such condition allows for values of the sampling period larger than necessary in practical implementation with usual technology. Many simulations show the high performance of the proposed digital control law.
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