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This paper demonstrates, how an approximation of the costate trajectory can be obtained for switched systems with state jumps, when an optimal control problem with fixed switching sequence is solved using a direct method, i.e. direct shooting or collocation. The obtained trajectories include the jump conditions for the costate given by necessary conditions for optimal control of switched systems.
The Locally Competitive Algorithm (LCA) is a continuous-time dynamical system designed to solve the problem of sparse approximation. This class of approximation problems plays an important role in producing state-of-the-art results in many signal processing and inverse problems, and implementing the LCA in analog VLSI may significantly improve the time and power necessary to solve these optimization...
This paper provides a new design of robust Iterative Learning Control (ILC) for the purpose of output tracking using second-order sliding mode technique. The main feature of the design is that the controller signal is continuous; therefore it is chattering-free compared with the robust ILC using classical first-order sliding mode technique. The continuous and non-chattering control signals can prevent...
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