Nonlinear Control Synthesis under Double Constraints

Authors:	Daryin A. N., Moscow State (Lomonosov) University, Russian Federation Kurzhanski A. B., Moscow State (Lomonosov) University, Russian Federation
Topic:	2.1 Control Design
Session:	Control and Estimation Under Set-Membership Uncertainty I
Keywords:	control synthesis, uncertainty, dynamic programming, double constraints, hard bound, soft bound

Abstract

Among the pending problems of control synthesis under set-membershipuncertainty lies the case when the bounds on the disturbances and thecontrols are generated by different types of inequalities. This paperpresents a scheme of designing strategies of nonlinear target controlsynthesis under joint quadratic and hard bounds on the controls and hardbounds on the disturbances. The techniques are based on a combination ofdynamic programming methods with techniques introduced byN. N. Krasovski and L. S. Pontryagin.