Displaying similar documents to “Nonlinear analysis of vehicle control actuations based on controlled invariant sets”

Receding-horizon control of constrained uncertain linear systems with disturbances

Luigi Chisci, Paola Falugi, Giovanni Zappa (2002)

Kybernetika

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The paper addresses receding-horizon (predictive) control for polytopic discrete-time systems subject to input/state constraints and unknown but bounded disturbances. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting robust invariant sets under linear and nonlinear control laws. Tradeoffs between maximizing the initial feasibility region and guaranteeing ultimate boundedness in the...

On the solution of the constrained multiobjective control problem with the receding horizon approach

Daniele De Vito, Riccardo Scattolini (2008)

Kybernetika

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This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution...

Constrained stabilization of a dynamic systems: a case study

Franco Blanchini, S. Cotterli, G. Koruza, S. Miani, R. Siagri, Luciano Tubaro (1999)

Kybernetika

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In this work we consider the problem of determining and implementing a state feedback stabilizing control law for a laboratory two-tank dynamic system in the presence of state and control constraints. We do this by exploiting the properties of the polyhedral Lyapunov functions, i. e. Lyapunov functions whose level surfaces are polyhedra, in view of their capability of providing an arbitrarily good approximation of the maximal set of attraction, which is the largest set of initial states...

Verification techniques for sensitivity analysis and design of controllers for nonlinear dynamic systems with uncertainties

Andreas Rauh, Johanna Minisini, Eberhard P. Hofer (2009)

International Journal of Applied Mathematics and Computer Science

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Control strategies for nonlinear dynamical systems often make use of special system properties, which are, for example, differential flatness or exact input-output as well as input-to-state linearizability. However, approaches using these properties are unavoidably limited to specific classes of mathematical models. To generalize design procedures and to account for parameter uncertainties as well as modeling errors, an interval arithmetic approach for verified simulation of continuoustime...