This paper presents preliminary results for the application of DMOC to multibody systems. DMOC is a technique that produces optimal control histories for boundary value problems directly from a discretized Lagrange-D'Alembert principle, and therefore does not require the equations of motion to be explicitly known. This work will be used to develop a methodology for rapidly predicting the perfor...

This paper considers the ‘reduction’ problem for large-scale distributed control systems. In particular, we consider control-theoretic concepts for control systems containing multiple instances of identical controllers or components where the overall system is invariant with respect to interchanging these identical components. The main results are invariance of controllability, motion planning ...

In this paper we investigate the optimal control problem for a class of stochastic Cauchy evolution problem with non standard boundary dynamic and control. The model is composed by an infinite dimensional dynamical system coupled with a finite dimensional dynamics, which describes the boundary conditions of the internal system. In other terms, we are concerned with non standard boundary conditi...

*Correspondence: [email protected] 1School of Science, Nanjing University of Science and Technology, 210094 Nanjing, China Full list of author information is available at the end of the article Abstract Based on the concept of uncertain process, uncertain linear systems with multiple input delays are considered in this paper. An optimal problem for such systems is introduced and solved by usin...

A quadratic cheap control of linear systems with multiple state delays is considered. This optimal control problem is transformed to an optimal control problem of singularly perturbed systems. A composite suboptimal control of the latter is designed based on its asymptotic decomposition into two much simpler parameter-free subproblems, the slow and fast ones. Using this composite control, a sub...

This paper analytically solves the Riccati equation of discrete optimal control with two targets and one tool. This is accomplished by reducing the problem to a nonlinear univariate dynamic equation; this can be solved by a suitable transformation of variable. Beyond its direct application to two-target economic problems, the present approach may provide insight toward the eventual solution of ...