A controller synthesis method is presented for closed-loop stability and asymptotic tracking of step input references with zero steady-state error. Integral-action is achieved in two design steps starting with any stabilizing controller and adding a PID-controller in a configuration that guarantees robust stability and tracking. The proposed design has integral-action integrity, where closed-lo...

This paper investigates the static output-feedback mixed H2/H∞ control problem of discrete-time Markovian jump systems from a novel perspective. Unlike traditional methods, the closed-loop system is represented as an augmented form, in which input and gain-output matrices are decoupled. By virtue of the augmented representation, new characterizations on stochastic stability and H2/H∞ performanc...

In this paper we employ the Rosenbrock system matrix pencil for the computation of output-nulling subspaces of linear time-invariant systems which appear in the solution of a large number of control and estimation problems. We also consider the problem of finding friends of these output-nulling subspaces, i.e., the feedback matrices that render such subspaces invariant with respect to the close...

The adaptive control problem of a class of stochastic time-delay systems is investigated. Firstly we consider a simple class of stochastic systems with time-varying delays and design the corresponding adaptive controller based on the solution of linear matrix inequalities (LMIs), which can render the closed-loop asymptotically stable in probability. Then we apply the adaptive idea to the interc...

The presented design method aim is to synthesize a state feedback control law in such way that with respect to the prescribed eigenvalues of the closed-loop system matrix the corresponding eigenvectors are as close as possible to a decoupled system eigenvectors. It is demonstrated that some degree of freedom existing in the control design, representing by the parametric vectors set as well as b...

In this paper, an observer-based sampled-data controller of linear system is proposed for the wave energy converter. Based on the sampled-data observer, the controller is design. In the closed-loop system with controller, it obtains the norm inequality between the continuous-time state variable and the discrete-time one. Using the norm inequality, sufficient condition is derived for the asympto...

Abstract— The recent paper [1] presents a pair of trust region based algorithms for the problem of pole placement via static output feedback. These notes revisit this problem and present an alternate, closely related algorithm. The main change is that instead of having a cost function based on the eigenvalues of the closed loop system matrix, the cost function is based on the characteristic pol...

This paper studies the problem of the guaranteed cost control via static-state feedback controllers for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm bounded uncertainties. A convex optimization problem with linear matrix inequality (LMI) constraints is formulated to design the suboptimal guaranteed cost...

In this paper, an observer-based decentralized fuzzy controller is designed for discrete-time interconnected fuzzy systems. Based on the fuzzy subsystem of the interconnected fuzzy system, the observer-based decentralized fuzzy controller is considered. By using the fuzzy subsystem and the observer-based decentralized fuzzy controller, the closed-loop system is obtained. From the closed-loop sy...

We investigate the dispersion relation of the winding closed-string states in SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the Lüscher-Weisz effective string theory to two-loop order, where the ...