In this paper, a state feedback H¥ controller is proposed in order to design an active queue management (AQM) system based on congestion control algorithm for networks supporting TCP protocols. In this approach, the available link bandwidth is modeled as a time-variant disturbance. The purpose of this paper is to design a controller which is capable of achieving the queue size and can guarantee...

This paper addresses the H∞ state feedback control problem for discrete-time piecewise affine systems. Our main objective is to derive design methods that take into account the partition information of the system so as to alleviate the design conservativeness embedded in conventional approaches where local Lyapunov functions are required to possess some global characteristics. To overcome the d...

This paper investigate the stabilizability of 2-D linear discrete-time systems described by the Roesser model with closed-loop positivity. Necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. The synthesis of state-feedback controllers, including the requirem...

We propose state-feedback controller design methodologies using our recent results on uniform solvability of state-dependent matrix Lyapunov equations. The controller designs obtained do not involve recursive computations and have a simple form being essentially a linear feedback with state-dependent dynamic gains. Furthermore, the Lyapunov functions utilized in the designs are quadratic functi...

The general problem of assigning the system matrix eigenstructure using the state feedback control combining with the static decoupling is considered in this paper. With pole assignment algorithms the exposition of the problem is generalized here for the closed-loop state variables mode decoupling and the system interaction static decoupling. This handles the optimized structure of the right ei...

The output feedback robust stabilization problem is studied in this paper for uncertain discrete-time linear system described in state space using polytopic model. The necessary and sufficient conditions for output feedback stabilizability with guaranteed cost are provided as well as the algorithm for computation of output feedback gain matrix. The LMI formulation enables to employ standard eff...

In this paper, a new method for finding a state feedback matrix in order to control simultaneously a collection of linear systems (of the same size) by using similarity operations is presented. For stabilization of all the systems, it is necessary that the eigenvalues of the closed-loop systems lie inside a specified region in the left hand side of the complex plane. This aim is achieved by sol...

Abstract: The problem of stabilization of fractional positive linear continuous-time linear systems with delays by state-feedbacks is addressed. The gain matrix of the state feedback is chosen so that the zeros of the closed-loop polynomial are located in a sector of the left half of complex plane. Necessary and sufficient conditions for the solvability of the problem are established and a proc...

Abstract—State feedback control synthesis problems for a class of polynomial nonlinear systems are investigated in this paper. Less conservative sufficient conditions to achieve the closed-loop stability with or without H∞ performance are formulated in terms of state dependent matrix inequalities. By introducing additional matrix variables, we succeed in eliminating the involved coupling betwee...

We show that some basic linear control design problems are NP-hard, implying that, unless P=NP, they cannot be solved by polynomial time algorithms. The problems that we consider include simultaneous stabilization by output feedback, stabilization by state or output feedback in the presence of bounds on the elements of the gain matrix, and decentralized control. These results are obtained by fi...