In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first established. Using this connection, the desired guaranteed cost results are established. The theory presented is illustrated using an example from quantum optics.

In this paper, we deal with the problem of designing guaranteed cost state feedback controller for the generalized time-varying delay systems with delayed state and control input. The generalized time delay system problems are solved on the basis of LMI(linear matrix inequality) technique considering time-varying delays. The sufficient condition for the existence of controller and guaranteed co...

This paper concerns a class of uncertain linear quantum systems subject to quadratic perturbations in the system Hamiltonian. A small gain approach is used to evaluate the performance of the given quantum system. In order to get improved control performance, we propose two methods to design a coherent controller for the system. One is to formulate a static quantum controller by adding a control...

This paper is concerned with the problem of guaranteed cost controller design control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the performance of the T-S fuzzy systems is derived, which can be transferred into problem of minimizing the trace of a matrix. By introducin...

This paper deals with the problem of reliable guaranteed cost control for linear descriptor time-delay systems with actuator failure. The actuator failure mold adopted in this paper is in complete form to describe variation of the actuator. To design a controller such that, for admissible actuator failures, the plant remains asymptotically stable and guarantees an adequate level of a quadratic ...

This chapter presents two new control synthesis approaches for dual-stage track-following servo systems. Both approaches are based on H2 guaranteed cost analysis, in which an upper bound on the worst-case H2 performance of a discretetime system with gain-bounded unstructured causal LTI uncertainty is determined by solving either a semi-definite program (SDP) or several Riccati equations. We rev...

Based on T-S fuzzy model, the guaranteed cost control problem of a class of uncertain nonlinear systems with input and state time delay is discussed. By constructing state-feedback controller, a sufficient condition that for the given performance index and control law, the closed-loop system is quadratic guaranteed cost stable is presented and expressed in terms of linear matrix inequality (LMI...

In this paper a new approach for the Guaranteed Cost Control Problem (GCCP) is presented, using two efficient tools, Linear Matrix Inequalities (LMIs) and Genetic Algorithms (GAs). A linear system with parametric uncertainty is considered for which a control law is to be found, minimizing a performance index. In a previous paper, an efficient method has been presented by using an LMI optimisati...

In this paper we consider the problem of controlling a multi–inventory system in the presence of uncertain demand. The demand is unknown but bounded in an assigned compact set. The control input is assumed to be also constrained in a compact set. We consider an integral cost function of the buffer level and we face the problem of minimizing the worst case cost. We show that the optimal cost of ...