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We propose a framework to solve an optimal control problem for a bilinear parabolic partial differential equation (PDE). We formulate the problem as an abstract bilinear-quadratic regulator (BQR) problem. A receding horizon control (RHC) algorithm to solve the problem based on the infinite-dimensional system is proposed and stability of the algorithm for the solution of the BQR problem is studied...
This paper proposes a distributed control law for three mobile autonomous agents to shape an acyclic triangle formation. Agents move themselves autonomously in two orthogonal axes to pursue and maintain the prescribed distances to their co-leaders. The dynamical system approaches exactly to the desired edge lengths and the orientation of the triangle in any initial condition except initial collocation...
This paper presents a novel swarm approximate dynamic programming method (swarm-ADP) for parameter optimization of PSO systems, from the perspective of optimal control. Based on the stability results of a simplified PSO and the swarm-ADP algorithm, parameter dynamic optimization and computation is studied in detail for a deterministic PSO system and a stochastic PSO system, respectively. Furthermore,...
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