On Target Control Synthesis Under Set-Membership Uncertainties Using Polyhedral Techniques

摘要

Problems of feedback terminal target control for linear and bilinear uncertain systems are considered. We continue the development of control synthesis using polyhedral (parallelotope-valued) solvability tubes. The paper deals with two types of problems, where controls appear either additively or in the system matrix. For both problems, the cases without uncertainties, with additive parallelotope-bounded uncertainties, and also with interval uncertainties in coefficients of the system (a bilinear uncertainty) are considered. Ordinary differential equations, which describe the mentioned polyhedral solvability tubes, are presented for each of these cases. New control strategies, which can be calculated by explicit formulas on the base of the mentioned tubes, are proposed. Results of computer simulations are presented.