A note on stabilization of discrete nonlinear systems.
A novel LMI-based robust model predictive control for DFIG-based wind energy conversion systems
The optimal and reliable performance of doubly fed induction generator is essential for the efficient and optimal operation of wind energy conversion systems. This paper considers the nonlinear dynamic of a DFIG linked to a power grid and presents a new robust model predictive control technique of active and reactive power by the use of the linear matrix inequality in DFIG-based WECS. The control law is obtained through the LMI-based model predictive control that allows considering both economic...
A numerical method of matrix spectral factorization
A practical solution to implement nonlinear output regulation via dynamic mappings
This paper presents a novel error-feedback practical solution for real-time implementation of nonlinear output regulation. Sufficient and necessary conditions for both state- and error-feedback output regulation have been established for linear and nonlinear systems several decades ago. In their most general form, these solutions require solving a set of nonlinear partial differential equations, which may be hard or even impossible to solve analytically. In recent years, a methodology for dynamic...
A procedure for designing stabilizing output feedback controllers
A reduction principle for global stabilization of nonlinear systems
The goal of this paper is to propose new sufficient conditions for dynamic stabilization of nonlinear systems. More precisely, we present a reduction principle for the stabilization of systems that are obtained by adding integrators. This represents a generalization of the well-known lemma on integrators (see for instance [BYIS] or [Tsi1]).
A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications
A remark on energetic stability of feedback systems
A robust controller design method and stability analysis of an underactuated underwater vehicle
The problem of designing a stabilizing feedback controller for an underactuated system is a challenging one since a nonlinear system is not stabilizable by a smooth static state feedback law. A necessary condition for the asymptotical stabilization of an underactuated vehicle to a single equilibrium is that its gravitational field has nonzero elements corresponding to unactuated dynamics. However, global asymptotical stability (GAS) cannot be guaranteed. In this paper, a robust proportional-integral-derivative...
A robustness result for a von Kármán plate
A separation principle for the stabilization of a class of time delay nonlinear systems
In this paper, we establish a separation principle for a class of time-delay nonlinear systems satisfying some relaxed triangular-type condition. Under delay independent conditions, we propose a nonlinear time-delay observer to estimate the system states, a state feedback controller and we prove that the observer-based controller stabilizes the system.
A solution of the continuous Lyapunov equation by means of power series
A structural analysis of the pole shifting problem
A study on decentralized feedback control systems with local quantizers
In this paper, we study decentralized feedback control systems with quantized signals in local input-output (control) channels. We first assume that a decentralized output feedback controller has been designed for a multi-channel continuous-time system so that the closed-loop system is Hurwitz stable and a desired disturbance attenuation level is achieved. However, since the local measurement outputs are quantized by a general quantizer before they are passed to the controller, the system’s...
A study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics
In this report, a control method for the stabilization of periodic orbits for a class of one- and two-dimensional discrete-time systems that are topologically conjugate to symbolic dynamical systems is proposed and applied to a population model in an ecosystem and the Smale horseshoe map. A periodic orbit is assigned as a target by giving a sequence in which symbols have periodicity. As a consequence, it is shown that any periodic orbits can be globally stabilized by using arbitrarily small control...
A theorem of Rolewicz's type for measurable evolution families in Banach spaces.
A tracking controller design with preview action for a class of nonlinear Lur'e systems with time-varying delays and external disturbances
In this paper, the tracking control problem for a class of discrete-time nonlinear Lur’e systems with time-varying delays and external disturbances is studied via a preview control method. First, a novel translation approach is introduced to construct the augmented error system for Lur’e systems. The output tracking problem is thereby transformed into a guaranteed cost controller design problem. To produce an integral control action that can eliminate the static error, a discrete integrator is...
A unified approach to fixed-order controller design via linear matrix inequalities.
A unified approach to high-gain adaptive controllers.
A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing...