Peak Controllers for Uncertain Linear Delayed Systems under Initial Conditions
نویسنده
چکیده
This paper extends peak-to-peak gain control of linear system to linear delayed systems. In the proposed method, the supremum of 2-norm is used instead of ∞ L -norm, and local stabilization is used instead of global stabilization. While the reachable set of the dynamic delayed systems is bounded by an inescapable ellipsoid, a state feedback controller is determined under a given initial state condition. As main results, the state ball of initial condition for the system bearing time-delay is explicitly computed. The corresponding peak index controller is formulated in terms of linear matrix inequalities. The robustness and minimization problems of peak-to-peak gain control are also discussed. Copyright © 2005 IFAC
منابع مشابه
Robust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملNon-fragile Fault-Tolerant Control with Gain Perturbation for a Linear Uncertain Time-Delayed System
Non-fragile fault-tolerant controller is designed for a class of linear uncertain time-delayed systems. Two cases of controller perturbation are investigated in view of different application conditions. One case is the controller gain attenuation, the other is random uncertainty caused by noise possibly existing in an industrial field. The controller to be designed can guarantee systems to have...
متن کاملGuaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback
In this paper, we propose a design method for guaranteed cost controllers for uncertain large-scale systems with time-delays in subsystem interconnections using delayed feedback. Based on the Lyapunov method, an LMI (Linear Matrix Inequality) optimization problem is formulated to design the delayed feedback controller which minimizes the upper bound of a given quadratic cost function. A numeric...
متن کاملOptimization-based design of fixed-order controllers for command following
For discrete-time scalar systems, we propose an approach for designing feedback controllers of )xed order to minimize an upper bound on the peak magnitude of the tracking error to a given command input. The work makes use of linear programming to design over a class of closed-loop systems recently proposed for the rejection of non-zero initial conditions and bounded disturbances. We incorporate...
متن کاملPD Controller Design with H¥ Performance for Linear Systems with Input Delay
This paper presents H∞ control problem for input-delayed systems. A neutral system approach is considered to the design of PD controller for input delay systems in presence of uncertain time-invariant delay. Using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. The significant specification of this neutral system is that its delayed coeff...
متن کامل