On the $L^p$-stabilization of the double integrator subject to input saturation

Yacine Chitour

Displaying similar documents to “On the $L^{p}$ -stabilization of the double integrator subject to input saturation”

Controlled functional differential equations : approximate and exact asymptotic tracking with prescribed transient performance

Eugene P. Ryan, Chris J. Sangwin, Philip Townsend (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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A tracking problem is considered in the context of a class $𝒮$ of multi-input, multi-output, nonlinear systems modelled by controlled functional differential equations. The class contains, as a prototype, all finite-dimensional, linear, $m$ -input, $m$ -output, minimum-phase systems with sign-definite “high-frequency gain”. The first control objective is tracking of reference signals $r$ by the output $y$ of any system in $𝒮$ : given $λ \geq 0$ , construct a feedback strategy which ensures that, for every $r$ ...

Output feedback $H_{\infty}$ control of networked control systems based on two channel event-triggered mechanisms

Yanjun Shen, Zhenguo Li, Gang Yu (2021)

Kybernetika

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In this paper, we study dynamical output feedback $H_{\infty}$ control for networked control systems (NCSs) based on two channel event-triggered mechanisms, which are proposed on both sides of the sensor and the controller. The output feedback $H_{\infty}$ controller is constructed by taking random network-induced delays into consideration without data buffer units. The controlled plant and the output feedback controller are updated immediately by the sampled input and the sampled output, respectively. By...

Improving the performance of semiglobal output controllers for nonlinear systems

Abdallah Benabdallah, Walid Hdidi (2017)

Kybernetika

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For a large class of nonlinear control systems, the main drawback of a semiglobal stabilizing output feedback controllers ${(𝒰_{R})}_{R > 0}$ with increasing regions of attraction ${(Ω_{R})}_{R > 0}$ is that, when the region of attraction $Ω_{R}$ is large, the convergence of solutions of the closed-loop system to the origin becomes slow. To improve the performance of a semiglobal controller, we look for a new feedback control law that preserves the semiglobal stability of the nonlinear system under consideration and that is...

Event-triggered $H_{\infty}$ static output feedback control of discrete time piecewise-affine systems

Zhuyun Xue, Mouquan Shen (2021)

Kybernetika

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This paper is concerned with the problem of $H_{\infty}$ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed $H_{\infty}$ performance. By utilizing a separation strategy, the static...

A zero-two theorem for a certain class of positive contractions in finite dimensional $L^{P}$ -spaces $(1 ⩽ p < + \infty)$

R. Zaharopol (1984)

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications

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Cauchy problem for the complex Ginzburg-Landau type Equation with $L^{p}$ -initial data

Daisuke Shimotsuma, Tomomi Yokota, Kentarou Yoshii (2014)

Mathematica Bohemica

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This paper gives the local existence of mild solutions to the Cauchy problem for the complex Ginzburg-Landau type equation $\frac{\partial u}{\partial t} - (λ + i α) Δ u + (κ + i β) {| u |}^{q - 1} u - γ u = 0$ in $ℝ^{N} \times (0, \infty)$ with $L^{p}$ -initial data $u_{0}$ in the subcritical case ( $1 \leq q < 1 + 2 p / N$ ), where $u$ is a complex-valued unknown function, $α$ , $β$ , $γ$ , $κ \in ℝ$ , $λ > 0$ , $p > 1$ , $i = \sqrt{- 1}$ and $N \in ℕ$ . The proof is based on the $L^{p}$ - $L^{q}$ estimates of the linear semigroup ${exp (t (λ + i α) Δ)}$ and usual fixed-point argument.

Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in $L^{1} (Ω)$

M. F. Betta, A. Mercaldo, F. Murat, M. M. Porzio (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we prove uniqueness results for the renormalized solution, if it exists, of a class of non coercive nonlinear problems whose prototype is $\{\begin{matrix} - div (a (x) (1 + {| \nabla u |}^{2})^{\frac{p - 2}{2}} {\nabla u) + b (x) (1 + | \nabla u |}^{2})^{\frac{λ}{2}} = f & in Ω, \\ u = 0 & on \partial Ω, \end{matrix}$ where $Ω$ is a bounded open subset of $ℝ^{N}$ , $N \geq 2$ , $2 - 1 / N < p < N$ , $a$ belongs to $L^{\infty} (Ω)$ , $a (x) \geq α_{0} > 0$ , $f$ is a function in $L^{1} (Ω)$ , $b$ is a function in $L^{r} (Ω)$ and $0 \leq λ < λ^{*} (N, p, r),$ for some $r$ and $λ^{*} (N, p, r)$ .

Bond ionization energies: thiophosphoryl compounds

Marco V. Andreocci, Carla Cauletti, Claudio Furlani (1977)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Negli spettri fotoelettronici (p.e.) indotti da radiazione ultra-violetta di serie omologhe di composti, si trovano bande in ben definite regioni di energia, che possono essere assegnate empiricamente a ionizzazione di legami specifici o di coppie solitarie di elettroni. L’effetto dell'intorno chimico sulle energie di ionizzazione si esplica in piccoli spostamenti, che hanno una dipendenza approssimativamente lineare dall'ettronegatività di atomi o gruppi vicini. La discussione riguarda...

Dual-terminal event triggered control for cyber-physical systems under false data injection attacks

Zhiwen Wang, Xiangnan Xu, Hongtao Sun, Long Li (2020)

Kybernetika

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This paper deals with the problem of security-based dynamic output feedback control of cyber-physical systems (CPSs) with the dual-terminal event triggered mechanisms (DT-ETM) under false data injection (FDI) attacks. Considering the limited attack energy, FDI attacks taking place in transmission channels are modeled as extra bounded disturbances for the resulting closed-loop system, thus enabling $H_{\infty}$ performance analysis with a suitable $ϱ$ attenuation level. Then two buffers at the controller...

Displaying similar documents to “On the L p -stabilization of the double integrator subject to input saturation”

Displaying similar documents to “On the $L^{p}$ -stabilization of the double integrator subject to input saturation”