This technical note concerns observer design for Lipschitz nonlinear systems with sampled output. Using reachability analysis, an upper approximation of the attainable set is given. When this formulated in terms a convex combination linear mappings, sufficient condition given matrix inequalities (LMIs) which can be solved employing LMIs solver. novel approach seems to efficient tool solve problem synthesis class small dimensions.

This paper addresses output feedback stabilization via event-triggered feedback. In the first part of paper, linear systems are considered, whereas second shows that a dynamic control law can achieve origin for class nonlinear by employing high-gain techniques.

This paper investigates sufficient conditions for the convergence to zero of trajectories linear switched systems. We provide a collection results that use weak dwell-time, strong permanent and persistent activation hypothesis. The obtained are shown be tight by counterexample. Finally, we apply our result three-cell converter.

In this note, we study the cut locus of free, step two Carnot groups $\mathbb{G}_k$ with $k$ generators, equipped their left-invariant Carnot-Carath\'eodory metric. particular, disprove conjectures on shape loci proposed in [Myasnichenko - 2002] and [Montanari, Morbidelli 2016], by exhibiting sets points $C_k \subset \mathbb{G}_k$ which, for $k \geq 4$, are strictly larger than conjectured ones. While latter were, respectively, smooth semi-algebraic codimension $\Theta(k^2)$ $\Theta(k)$,...

This paper is about necessary conditions for the existence of an observer in case nonlinear systems. Those are first highlighted terms detectability, observers ensuring asymptotic state reconstruction. They then take form stronger observability notions, tunable observers, that with a rate

In this paper, we consider the problem of designing an asymptotic observer for a nonlinear dynamical system in discrete-time following Luenberger's original idea. This approach is two-step design procedure. first step, to estimate function state. The state estimation obtained by inverting mapping. As continuous-time context, show that step always possible provided linear and stable fed output introduced. Based on weak observability assumption, it shown picking dimension auxiliary...

This paper deals with the observer design problem for time-varying linear infinite-dimensional systems. We address both of online estimation state system from output via an asymptotic observer, and offline initial a Back Forth Nudging (BFN) algorithm. In contexts, we show under weak detectability assumption that Luenberger-like may reconstruct so-called observable subspace system. However, since no exact observability hypothesis is required, only convergence holds in general. Additional...

For nonlinear analytic control systems, we introduce a new paradigm for dynamic output feedback stabilization. We propose to periodically sample the usual observer based law, and reshape it so that coincides with ``control template'' on each time period. By choosing template making system observable, prove this method allows bypass uniform observability assumption is used in most separation principles. genericity of templates by adapting universality theorem Sussmann.

In this paper, we analyze, via a simple academic example from quantum control, the problem of dynamic exact output stabilization, when point where want to stabilize corresponds control value that makes system unobservable. The stability analysis is performed in three steps. We have validated method for specific case, but idea can be extended more general problems. particular, applied case Killing systems are injectable into bilinear skew-symmetric systems.

This paper is devoted to the general problem of reconstructing cost from observation trajectories, in a optimal control. It motivated by following applied problem, concerning HALE drones: one would like them decide themselves for their and behave at least as good human pilot. question very similar determining what minimized locomotion. These starting points are reasons particular classes control systems costs under consideration. To summarize, our conclusion that general, inside these...

This paper is devoted to the general problem of reconstructing cost from observation trajectories, in a optimal control. It motivated by following applied problem, concerning HALE drones: one would like them decide themselves for their and behave at least as good human pilot. question very similar determining what minimized locomotion. These starting points are reasons particular classes control systems costs under consideration. To summarize, our conclusion that general, inside these...

Output feedback stabilization of control systems is a crucial issue in engineering. Most these are not uniformly observable, which proves to be difficulty move from state dynamic output stabilization. In this paper, we present methodology overcome challenge the case dissipative by requiring only target detectability. These appear many physical and provide various examples applications result.

In this paper, we consider a (rough) kinematic model for UAV flying at constant altitude moving forward with positive lower and upper bounded linear velocities minimum turning radius. For model, the problem of minimizing time travelled by starting from general configuration to connect specified target being fixed circle The time-optimal synthesis, presented as partition state space, defines unique optimal path such that can be reached optimally.

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 5 July 2019Accepted: 11 January 2021Published online: 04 May 2021Keywordsobservability, transversality theory, output feedback, stabilizationAMS Subject Headings93B07, 93D15, 93B52, 57N75, 34K35, 93C10, 93C15Publication DataISSN (print): 0363-0129ISSN (online): 1095-7138Publisher: Society for Industrial and Applied MathematicsCODEN: sjcodc

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according antagonistic nature objective and properties system: system tends to be less observable as it approaches target. illustrate two main ideas: well chosen perturbations a state law can yield new observability closed-loop system, embedding systems into bilinear admitting observers with dissipative error allows mitigate issues. apply them on case linear dynamics...

Recently, the concept of k-contraction has been introduced as a promising generalization contraction for dynamical systems. However, study properties faced significant challenges due to reliance on complex mathematical objects called matrix compounds. As result, related control design methodologies have yet appear in literature. In this paper, we overcome existing limitations and propose new sufficient conditions which do not require compounds computation. Notably, these are also necessary...

This paper focuses on the construction of self-triggered state feedback laws. The approach followed is a high-gain approach. event which triggers an update control law based dynamical system in parameter. allows to design ensuring convergence origin for nonlinear systems with triangular structure and specific upper bound nonlinearities.