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We study the linear-quadratic optimal control problem with the state equation consisting of two sequentially acting descriptor systems. Matching conditions for trajectories at the switch point are absent. However, the minimized functional depends on values of a state trajectory at the left and right sides of the switch point. State trajectories have partially fixed left and right points and, in general,...
This paper considers the sliding mode control for linear systems with time-delay affected by uncertainties. By using the successive approximation approach, a novel time-varying sliding surface is designed in an optimal fashion. The stability of the sliding mode is analyzed. The switching manifold assures that the state trajectories of the closed-loop system converge to zero. The convergence speed...
Existing reachability theory and optimal control theory are applied to a class of nonlinear systems with ellipsoidal initial reachability sets, reflecting information typically provided by industry-standard optimal estimation methods. Analytical expressions for position-and velocity-extrema are developed, yielding necessary conditions for reachability as well as tools for significant reduction in...
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