This study explores the effectiveness of applying optimal control techniques to the flight control law clearance problem, which is the challenge of ensuring the safety of an aircraft’s flight control system for all allowable inputs. The main criteria chosen were the angle-ofattack limit exceeding criterion in the longitudinal plane, and the angle-of-sideslip limit exceeding criterion in the lat...

Over the last decade we have witnessed an increasing use of data processing in embedded systems. Where in the past the data processing was limited (if present at all) to the handling of a small number of “on-off control signals”, more recently much more complex sensory data is being captured, processed and used to improve system performance and dependability. The advent of systems-ofsystems agg...

In this paper the design of a controller for a relay-controlled second-order non-linear stable plant with second-order nonlinearity is considered. The task of the controller is the simultaneous reduction of plant's output and output derivative to zero with the input to the feedback system being at z;ro. It will be shown that for all initial values ot output and output derivative it would be pos...

In terms of high penetration of distributed energy resources, power systems undergo challenges on aspects of their operation, stability and control issues. Microgrids gained a lot of research interest because they have a promising future to integrate the distributed energy resources into the power systems, reduce greenhouse gas emissions and increase the reliability and security of the power sy...

The distance from the convex hull of the range of an n-dimensional vector-valued measure to the range of that measure is no more than an/2, where a is the largest (one-dimensional) mass of the atoms of the measure. The case a = 0 yields Lyapounov's Convexity Theorem; applications are given to the bisection problem and to the bang-bang principle of optimal control theory.

We provide a rigorous analysis of the quantum optimal control problem in setting linear combination $s(t)B+(1-s(t))C$ two noncommuting Hamiltonians $B$ and $C$. This includes both annealing (QA) approximate optimization algorithm (QAOA). The target is to minimize energy final ``problem'' Hamiltonian $C$, for time-dependent bounded schedule $s(t)\in [0,1]$ $t\in \mc{I}:= [0,t_f]$. It was recentl...

This paper, the first of a series of two, deals with the determination of optimal steady-state jacket fluid temperature profiles for dispersive tubular chemical reactors, ranging from plug flow to perfectly mixed reactors. According to Pontryagin’s minimum principle, the optimal control is of the bang-bang type for the proposed terminal cost criterion. The bang-bang switching position is numeri...

This paper is an attempt to give sufficient conditions for a bang-bang extremal with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of the ones considered in [2, 3] and [4]. We require both the strict bang-bang Legendre condition, which takes a different form according to the multiplicity of the considered switching time, a non deg...