We consider the constrained infinite time optimal control problem for the class of discrete time linear hybrid systems. When a linear performance index is used the infinite time optimal solution is a piecewise affine (PWA) state feedback control law. In this paper we present an algorithm that computes the optimal solution in a computationally efficient manner. It combines a dynamic programming ...

In this article the parametric optimal control problem (POCP) with mixed controlstate constraints is considered. The aim is specification of parameter rang variation and corresponding approximate optimal control for approximate access to an optimal trajectory respect to unperturbed problem. For this purpose a measure theoretical approach is applied for observation of the problem in the form of ...

Abstract Piezoelectric (PZT) shunt damping is an effective method to dissipate energy from a vibrating structure; however, most of the applications focus on targeting specific modes for structures at low-frequency range, i.e. deterministic substructure (DS). To optimally attenuate high-frequency non-deterministic (Non-DS) using PZT damper, it found that impedance patch’s terminal needs be compl...

this paper deals with optimal operation of a three-product dividing-wall column (dwc). the main idea is to design a control structure, through a systematic procedure for plantwide control, with an objective to achieve desired product purities with the minimum use of energy. exact local method is used to find the best controlled variables as single measurement or combination of measurements base...

In this paper we discuss special bilevel optimal control problems where the upper level problem is an optimal control problem of ODEs with control and terminal constraints and the lower level problem is a finite-dimensional parametric optimization problem where the parameter is the final state of the state variable of the upper level. We tackle this problem using tools of nonsmooth analysis, op...

Bang-bang control problems subject to a state inequality constraint are considered. It is shown that the control problem induces an optimization problem, where the optimization vector assembles the switching and junction times for bangbang and boundary arcs. Second order sufficient conditions (SSC) for the stateconstrained control problem are given which require that SSC for the induced optimiz...