The problem of decentralized H2/H∞ state - feedback control is described; the parametrization theorem of a existing decentra. lized H2/H∞ state feedback control is put forth and to solve the problem two approaches based on LMI are proposed - - - the direct LMI approach and the iterative approach.
In this paper, H ∞ state feedback controller and H ∞ output feedback controller design for a class of large scale interconnected continuous systems with N×N unknown but constant delays in the interconnections are addressed. Sufficient conditions for the existence of memoryless H ∞ state feedback control law and H ∞ output feedback control law for large scale interconnected time delay systems are presented with LMI approach,which is numerically tractable.
The characteristics of nonlinearity of the suspension system in maglev train are analyzed. Starting from improvement of the anti-interference and loading capacity for the suspension system,a status feedback controller is designed by use of nonlinear H∞control theory.
The dynamic disturbance error of SINS has always been the bottle-neck obstructing SINS from its applications. This article analyses the status equation of the SINS's carrier and puts forward a new way called H_∞ Filtering to resolve the design problems of the status feedback controller,which is an effective way to compensate the dynamic disturbance error of SINS.
Using the switching technique and the Lyapunov function method, a continuous state feedback controller is built to ensure that for all allowable uncertainties the relevant closed-loop system is asymptotically stable.
By introducing the notion of generalized quadratic H∞ performance, the relationship between the existence of a robust H∞ dynamic state feedback controller and that of a robust H∞ static state feedback controller is given.
Under the condition of all states being available for feedback, a state feedback controller was developed via the stochastic Lyapunov-like theorem and backstepping design technique.
An important property of passive system is studied to control chaotic systems, that is passive system can be asymptotically stabilized by state feedback controller whose state variables are presented by nonlinear observer.
Based on the strict linear matrix inequality, the desired robust state feedback controller is also obtained.
The parametrization theorem of decentralized robust state feedback controllers is developed in two steps and the design condition for the feedback gain is in the form of matrix inequalities.
Given a quadratic cost we seek stabilizing state feedback controllers which guarantee that all motions starting within a specified bounded set have cost less than a given number; i.e., we seek suboptimal stabilizing controllers.
In this paper we present a general framework for synthesizing state feedback controllers to achieve any desired closed loop dissipative behavior.
For large-scale systems with only input interconnection perturbations, such decentralized controllers become a class of decentralized stabilizing state feedback controllers.
That is, the decentralized stability of such large-scale systems can be guaranteed always by using the decentralized state feedback controllers proposed in the paper.