Inverse dynamics‐based formulation of finite horizon optimal control problems for rigid‐body systems

Finite-Horizon Optimal Control of Discrete-Time Switched Linear Systems

Finite-horizon optimal control problems for discrete-time switched linear control systems are investigated in this paper. Two kinds of quadratic cost functions are considered. The weight matrices are different. One is subsystem dependent; the other is time dependent. For a switched linear control system, not only the control input but also the switching signals are control factors and are neede...

Modeling and Optimal Control of Hybrid Rigidbody Mechanical Systems

A measure differential inclusion (MDI) based modeling approach for rigidbody mechanical systems will be introduced, that can exhibit autonomous or controlled mode transitions, accompanied by discontinuities on velocity and acceleration level. The hybrid optimal control necessitates the consideration of an uncommon concept of control, namely, controls of unbounded, impulsive and set-valued type....

Solving infinite horizon optimal control problems of nonlinear interconnected large-scale dynamic systems via a Haar wavelet collocation scheme

We consider an approximation scheme using Haar wavelets for solving a class of infinite horizon optimal control problems (OCP's) of nonlinear interconnected large-scale dynamic systems. A computational method based on Haar wavelets in the time-domain is proposed for solving the optimal control problem. Haar wavelets integral operational matrix and direct collocation method are utilized to find ...

A stochastic target formulation for optimal switching problems in finite horizon

A Max-plus Finite Element Method for Solving Finite Horizon Deterministic Optimal Control Problems

We introduce a max-plus analogue of the Petrov-Galerkin finite element method, to solve finite horizon deterministic optimal control problems. The method relies on a max-plus variational formulation, and exploits the properties of projectors on max-plus semimodules. We obtain a nonlinear discretized semigroup, corresponding to a zero-sum two players game. We give an error estimate of order √ ∆t...