Dynamic Programming and Optimal Control
Dynamic Programming and Optimal Control
Robot Motion Planning
Planning Algorithms
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Brief A probabilistically constrained model predictive controller
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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An analysis of the future measurement incorporation into the unscented predictive motion planning algorithm for nonholonomic systems is presented. A two-wheeled robot is selected as the example nonholonomic system. A predictive motion planning scheme is used to find the suboptimal control inputs. In addition to the nonholonomic constraint, state estimation and collision avoidance chance constraints are incorporated to the predictive scheme. The closed form of the probabilistic constraints is solved by utilizing the unscented transform of the motion model. In order to evaluate the effect of future measurement incorporation into the planning algorithm, two different types of the unscented predictive planner, UPP-1 and UPP-2, are developed. In UPP-2 the future measurement is incorporated to the planning algorithm, whereas in UPP-1 the future measurement is ignored. Numerical simulation results demonstrate a high level of robustness and effectiveness of the both proposed algorithms in the presence of disturbances, measurement noise and chance constraints. Also, simulation results indicate that UPP-1 is a more conservative planner than UPP-2.