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A sliding mode controller is designed for the longitudinal dynamics of a generic hypersonic vehicle. A generic nonlinear longitudinal dynamics model for wedge-shaped vehicle is used. Based on the dynamic inverse control, the sliding mode is adopted with the reaching law that contains a linear-quadratic controller. Optimal control techniques can be applied to search the parameters of linear-quadratic...
The delay-dependent H-infinity guaranteed cost control problem for linear systems with state delay is considered. A delay-dependent condition for the existence of H-infinity guaranteed cost state feedback controller is presented in terms of linear matrix inequality such that the resulting closed-loop system is asymptotically stable and guarantees H-infinity performance index. It can be proved that...
In this paper, we consider the problem of designing Hinfin static output feedback controller for systems with delayed state, delayed input and sensor failure. Two sufficient conditions for the existence of Hinfin output feedback controllers are presented. Furthermore, by using variable transformation and Schur complement, the obtained result can be rewritten as a matrix inequality representation....
This paper is concerned with the estimation of the domain of attraction for a class of linear continuous-time systems subject to both interval time-varying delay and actuator saturation. A new type of delay-range-dependent condition is firstly proposed using the free-weighting matrix technique to derive a tighter upper bound on the derivative of a Lyapunov-Krasovskii functional. Based on it, a state...
This paper considers guaranteed cost control problem for systems with saturating actuators and input delays. By using Razumikhin stability theorem, a linear state feedback control law is found, ensuring not only the closed-loop system's stability but guaranteed cost index. And the problem of designing the optimal guaranteed cost controller is converted to a convex optimization problem within the framework...
This paper studies the robust stabilization problem for linear continuous-time systems with time-delay that are composed of polytopic uncertain subsystems. The approach followed in this note aims at the existence of common positive definite matrices for all convex combinations of the extreme points which belong to different subsystem matrices to check robust stability of the switched system. The stability...
The purpose of this paper is to design robust guidance laws of the missile to the maneuvering target based on guaranteed cost (GC) control. The robust stabilizing GC controller is designed in terms of linear matrix inequalities (LMIs), and the optimal guaranteed cost (OGC) controller is given. Simulations are implemented by digital control in several cases of maneuvering targets and launching sites,...
This paper deals with the stability analysis and controller design of linear systems with state delay and input saturation. First, a delay-dependent stability criterion is derived within the framework of linear matrix inequalities by using some free matrices to express the relationship of the terms in the Leibniz-Newton formula. Then the problem of designing linear state feedback laws which guarantees...
This paper deals with the problem of local stabilization for linear time-delay systems subject to actuator saturation. Different from the traditional Lyapunov-Krasovskii approach to estimate the domain of attraction, a less conservative method based on Lyapunov-Razumikhin approach is presented using linear matrix inequalities technique. The effectiveness of the proposed method is illustrated with...
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