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This paper deals with a quadratic optimization problem for linear impulsive hybrid systems. We study a class of LQ-type impulsive hybrid optimal control problems (OCPs) and consider the application of the hybrid Maximum Principle (MP). Our aim is to investigate the natural relationship between the Pontryagin-type MP and the Bellman Dynamic Programming (DP) approach. As next we develop the “hybrid”...
This paper deals with optimization techniques for linear impulsive hybrid systems (LIHSs). We study the LQ (linear quadratic) impulsive hybrid optimal control problem (OCP) and apply the corresponding Pontryagin-type maximum principle (MP) (see). Our aim is to investigate the natural relationship between the above MP and the Bellman dynamic programming (DP) approach to the above hybrid OCP under consideration...
This paper proposes a fuzzy terminal sliding mode control method for two-link flexible manipulators. Based on the singular perturbation method and two time-scale decomposition, the flexible manipulator system is firstly decomposed into two subsystems by modeling the joint angles and the corrected flexible modes as the slow and fast variables, respectively. A nonsingular terminal sliding mode manifold...
Aiming at time constraint and trajectory phase angle constraint of aeroassisted space rendezvous, a approach guidance method belonging to the nominal guidance was presented. Due to initial trajectory errors and external disturbances existing in atmospheric flight, linear quadratic regulator was designed and computation method of weighted coefficient matrixes was given. Mathematic simulation example...
The problem of robustifying optimal linear quadratic regulator (LQR) is considered for a class of uncertain linear systems. First, an optimal controller is designed for the nominal system and an integral sliding surface is constructed. The ideal sliding motion can minimize a given quadratic performance index, and the reaching phase, which is inherent in conventional sliding mode control, is completely...
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