The paper concerns minimax control problems for linear multidimensional parabolic systems with distributed uncertain perturbations and control functions acting in mixed (Robin) boundary conditions. The main goal is to design a feedback control regulator that ensures the required state performance and robust stability under any feasible perturbations and minimize an energy-type functional under ...

In this correspondence, we show that the spectrum-determined growth condition holds for the closed-loop system of a vibration cable with a tip mass and linear boundary feedback control. The optimal decay rate of the energy for a case left unsolved in the [1] is determined, and the asymptotic expansion of the associated semigroup is obtained. As a consequence of the approach, we show, in a diffe...

In this paper we consider optimal output feedback boundary control problems for a class of semilinear uncertain parabolic systems. The uncertain initial boundary value problem is converted into an equivalent Cauchy problem described by a differential inclusion in appropriate Banach spaces. We follow game-theoretic formalism and prove existence of saddle points giving optimal strategies. This is...

A collocated observer design approach is addressed, which is based on the continuum backstepping algorithm for partial differential equations (PDEs) with boundary feedback. This observer for a class of hyperbolic PDEs is constructed through an integral form with undetermined kernel functions, combining with the “inverse” Volterra transformation and using the position and velocity of the colloca...

In this paper we discuss the sound absorption property of arrays of micro-acoustic actuators at a control surface. We use the wave equation over the half plane for the velocity potential with a boundary dissipation by a proportional pressure feedback law along the half plane boundary. The feedback gain over the array is described by a distributed shape function. We develop a computational metho...

The paper is devoted to the analysis of problems appearing in optimisation and improvement of the powerbandwidth efficiency of digital communication feedback systems (FCS). There is shown that unlike digital systems, adaptive FCS with the analogue forward transmission allow full optimisation and derivation of optimal transmission-reception algorithm approaching their efficiency to the Shannon b...

This work develops a boundary-layer model for the thermocapillary feedback mechanism that can occur at the edge of weld pools and other materials processes, in the limit where convection dominates the heat transport but the Prandtl number is small. Previously, Canright @Phys. Fluids 6, 1415 ~1994!# showed that in this regime the dynamics of this ‘‘cold corner’’ region is locally determined thro...

This paper presents an observer-based discrete variable structure controller for linear multi-variable systems with unmatched additive uncertainties, an extension of the results reported in Tang and Misawa (1998) to the output feedback case. It is shown that the incorporation of a prediction observer with uncertainty estimation into the controller guarantees the attractiveness and invariance of...