This paper addresses the design of convergence and performance certified sampled-data model predictive control (MPC) laws with a time-dependent economic performance index. More precisely, using a dissipativity property of the system, we provide a set of sufficient conditions that guarantee convergence of the closed-loop state trajectory to a, possibly time-varying, average economically optimal ...

This paper presents a falling‐based optimal foot trajectory planning method (FOFTP) for the effective walking of bipedal robots in three‐dimensional space. Our primary concern is to determine the optimal footstep location for the more balanced walking of bipedal robots based on a measure of falling. A proper strategy for the intermediate trajectory of the swing foot is als...

This paper presents optimal trajectory solutions for guiding the Apollo Lunar Excursion Module (LEM) to and from the Moon’s surface. GPOPS− II was used to solve the nonlinear control problem, providing full state and control histories for optimal ascent, descent and abort scenarios. Although historically Apollo did not follow an optimal trajectory due to terrain and navigation constraints, the ...

| This paper addresses trajectory planning in dynamic workspaces, i.e. trajectory planning for a robot subject to dynamic constraints and moving in a workspace with moving obstacles. First is introduced the novel concept of state-time space, i.e. the state space of the robot augmented of the time dimension. Like the concept of connguration space which is a tool to formulate path planning proble...

This work aims at finding optimal trajectory of compassgait biped walking robot in terms of energy consumption and passive dynamic walking. The planar biped model, an inverted double pendulum, has a free hinge at all joints, i.e., the hip and stance ankle. The impulsive external force is exerted on the swing ankle for short initial period. With the equation of motion, the power of external forc...

| This paper addresses dynamic trajectory planning which is deened as trajectory planning for a robot subject to dynamic constraints and moving in a dynamic workspace, i.e. with moving obstacles. To begin with, we propose the novel concept of state-time space as a tool to formulate dynamic trajectory planning problems. The state-time space of a robot is its state space augmented of the time dim...

In this paper, we present a new numerical algorithm to find the optimal control for the general nonlinear lumped systems without state constraints. The dynamic programming-viscosity solution (DPVS) approach is developed and the numerical solutions of both approximate optimal control and trajectory are produced. To show the effectiveness and efficiency of new algorithm, we apply it to an optimal...

The problem of trajectory tracking in the presence of input constraints is considered. The desired trajectory is reparameterized on a slower time scale in order to avoid input saturation. Necessary conditions that the reparameterizing function must satisfy are derived. The deviation from the nominal trajectory is minimized by formulating the problem as an optimal control problem.

In this paper, optimization and control of a tubular reactor for thermal bulk post-polymerization of styrene have been investigated. By using the reactor mathematical model, static and dynamic simulations are carried out. Based on an objective function including polymer conversion and polydispersity, reactor optimal temperature profile has been obtained. In the absence of model mismatch, de...