Robust Stability Analysis of Nonlinear Discrete-Time Systems With Application to MPC

Robust Stability Analysis of Nonlinear Discrete-Time Systems With Application to MPC

The regional Input-to-State Stability of nonlinear, possibly discontinuous, discrete-time systems is studied under the assumption that the equilibrium of the corresponding nominal model is asymptotically stable. The obtained results are used for the synthesis of a nominal Model Predictive Control la...

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Veröffentlicht in:IEEE transactions on automatic control 2012-01, Vol.57 (1), p.185-191
Hauptverfasser: Picasso, B., Desiderio, D., Scattolini, R.
Format: Artikel
Sprache:eng
Schlagworte:
Adaptative systems
Additives
Applied sciences
Asymptotic properties
Automatic control
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Discontinuous systems
Equations
Exact sciences and technology
input-to-state stabilization
Law
Lyapunov methods
Mathematical model
Mathematical models
model predictive control (MPC)
Nonlinearity
Optimal control
Robust stability
Robustness
Stability
Stability analysis
Synthesis
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Beschreibung
Zusammenfassung:The regional Input-to-State Stability of nonlinear, possibly discontinuous, discrete-time systems is studied under the assumption that the equilibrium of the corresponding nominal model is asymptotically stable. The obtained results are used for the synthesis of a nominal Model Predictive Control law ensuring inherent robustness. A numerical example is reported that witnesses the effectiveness of the approach.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2011.2163363