Displaying similar documents to “Well-formed dynamics under quasi-static state feedback”

Global linearization of nonlinear systems - A survey

Sergej Čelikovský (1995)

Banach Center Publications

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A survey of the global linearization problem is presented. Known results are divided into two groups: results for general affine nonlinear systems and for bilinear systems. In the latter case stronger results are available. A comparision of various linearizing transformations is performed. Numerous illustrative examples are included.

Infinitesimal Brunovský form for nonlinear systems with applications to Dynamic Linearization

E. Aranda-Bricaire, C. Moog, J. Pomet (1995)

Banach Center Publications

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We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský form' which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by 'endogenous dynamic feedback'.

An Invariance Problem for Control Systems with Deterministic Uncertainty

Lech Górniewicz, Paolo Nistri (1996)

Banach Center Publications

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This paper deals with a class of nonlinear control systems in R n in presence of deterministic uncertainty. The uncertainty is modelled by a multivalued map F with nonempty, closed, convex values. Given a nonempty closed set K ⊂ R n from a suitable class, which includes the convex sets, we solve the problem of finding a state feedback ū(t,x) in such a way that K is invariant under any system dynamics f. As a system dynamics we consider any continuous selection of the uncertain controlled dynamics...

Robust coordination control of switching multi-agent systems via output regulation approach

Xiaoli Wang, Fengling Han (2011)

Kybernetika

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In this paper, the distributed output regulation problem of uncertain multi-agent systems with switching interconnection topologies is considered. All the agents will track or reject the signals generated by an exosystem (or an active leader). A systematic distributed design approach is proposed to handle output regulation via dynamic output feedback with the help of canonical internal model. With common solutions of regulator equations and Lyapunov functions, the distributed robust...

Construction of a controller with a generalized linear immersion

Javier Diaz-Vargas, Dennis Tuyub-Puc, Celia Villanueva-Novelo (2011)

Kybernetika

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Gröbner bases for modules are used to calculate a generalized linear immersion for a plant whose solutions to its regulation equations are polynomials or pseudo-polynomials. After calculating the generalized linear immersion, we build the controller which gives the robust regulation.

Stabilization of a 1-D tank modeled by the shallow water equations

Christophe Prieur, Jonathan de Halleux (2002)

Journées équations aux dérivées partielles

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We consider a tank containing a fluid. The tank is subjected to a one-dimensional horizontal move and the motion of the fluid is described by the shallow water equations. By means of a Lyapunov approach, we deduce control laws to stabilize the fluid's state and the tank's position. Although global asymptotic stability is yet to be proved, we numerically simulate the system and observe the stabilization for different control situations.

Finite-time output feedback stabilization and control for a quadrotor mini-aircraft

Chuanlin Zhang, Shihua Li, Shihong Ding (2012)

Kybernetika

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This paper focuses on the finite-time output feedback control problem for a quad-rotor mini-aircraft system. First, a finite-time state feedback controller is designed by utilizing the finite-time control theory. Then, considering the case that the velocity states are not measurable, a finite-time stable observer is developed to estimate the unmeasurable states. Thus a finite-time output feedback controller is obtained and the stability analysis is provided to ensure the finite-time...