Authors:
Gürdal Arslan,
Tamer Bas;ar,
Volume: 1, Page 2450 Paper number 601
Abstract:
We consider a class of single-input single-output stochastic nonlinear
systems in strict-feedback form with a risk-sensitive cost criterion
and with only the output of the system being available for feedback.
We design an output-feedback controller under which the closed-loop
signals maintain an arbitrarily small average risk-sensitive cost.
Moreover, all closed-loop signals remain bounded in probability, and
under certain conditions we obtain asymptotic stability in probability.
Authors:
Stefano Battilotti,
Alberto De Santis,
Volume: 1, Page 2456 Paper number 602
Abstract:
We deal with nonlinear dynamical systems, consisting of a linear nominal
part perturbed by model uncertainties, nonlinearities and both additive
and multiplicative random noise, modeled as a Wiener process. In particular,
we study the problem of finding suitable measurement feedback control
laws such that the resulting closed--loop system is stable in some
probabilistic sense and a given cost functional is minimized. We give
a Lyapunov--based separation result which splits the control design
into a state feedback problem and a filtering problem.
Authors:
Gildas Besançon,
Hassan Hammouri,
Volume: 1, Page 2462 Paper number 603
Abstract:
This paper presents results on dynamic output feedback control for
a class of systems which are in cascade form and a priori are not uniformly
observable. These results are based on previous studies on observer
design for the considered class of systems on the one hand, and similar
arguments as in the case of uniformly observable systems on the other
hand. More precisely, it is shown how by using high gain and saturations
techniques, semiglobal stabilization by output feedback can be achieved
for systems which are stabilizable by state feedback, and where singularities
for the observation are not a priori discarded, provided that some
convergence speed is fast enough. Some further extensions on this basis
are also discussed.
Authors:
Laurent Praly,
Ioannis Kanellakopoulos,
Volume: 1, Page 2466 Paper number 604
Abstract:
We study the global asymptotic stabilization by output feedback for
systems whose dynamics are both linear in the unmeasured state components
and in a feedback form. The output feedback we consider is of the observer-controller
type where the design of both the observer and the controller is standard.
The main contribution is the proof of uniform complete observability
of the closed loop system, a sufficient property allowing us to establish
the required stability.
Authors:
Dragan Nesić,
Dina Shona Laila,
Andrew R. Teel,
Volume: 1, Page 2472 Paper number 605
Abstract:
We show that if we first design a controller for a continuous-time
nonlinear plant with disturbances so that it achieves a certain dissipation
inequality for the continuous-time closed-loop system and then implement
it as a sampled-data controller using a sampler and zero order hold,
then the dissipation inequality will be preserved for the exact discrete-time
model of the sampled-data closed-loop system in a semiglobal practical
sense (the sampling period is the parameter that we can adjust). Moreover,
a similar statement is proved for open-loop systems, where controls
are considered as free variables. Two different forms of dissipation
inequalities are considered for the exact discrete-time models: the
"weak" form and the "strong" form.
Authors:
Ole Morten Aamo,
Murat Arcak,
Thor I. Fossen,
Petar V. Kokotović,
Volume: 1, Page 2478 Paper number 606
Abstract:
We address the problem of output feedback tracking control of a class
of Euler-Lagrange systems subject to nonlinear dissipative loads. By
imposing a monotone damping condition on the nonlinearities of the
unmeasured states, the common restriction that the nonlinearities be
globally Lipschitz is removed. The proposed observer-controller scheme
renders the origin of the error dynamics uniformly globally asymptotically
stable.
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