7 papers
Transform the Non-linear Programming Problem to the Initial-value Problem to Solve
Sheng Zhang, Fei Liao, Yi-Nan Kong +1
A dynamic method to solve the Non-linear Programming (NLP) problem with Equality Constraints (ECs) and Inequality Constraints (IECs) is proposed. Inspired by the Lyapunov continuou…
Compact Formulation of the First Evolution Equation for Optimal Control Computation
Sheng Zhang, Fei Liao, Wei-Qi Qian
The first evolution equation is derived under the Variation Evolving Method (VEM) that seeks optimal solutions with the variation evolution principle. To improve the performance, i…
On the Computation of Optimal Control Problems with Terminal Inequality Constraint via Variation Evolution
Sheng Zhang, Yan-Qing Chenq, Wei-Qi Qian
Studies regarding the computation of Optimal Control Problems (OCPs) with terminal inequality constraint, under the frame of the Variation Evolving Method (VEM), are carried out. T…
Optimal Control Computation via Evolution Partial Differential Equation with Arbitrary Definite Conditions
Sheng Zhang, En-Mi Yong, Wei-Qi Qian
The compact Variation Evolving Method (VEM) that originates from the continuous-time dynamics stability theory seeks the optimal solutions with variation evolution principle. It is…
Computation of time-optimal control problem with variation evolution principle
Sheng Zhang, Wei-Qi Qian
An effective form of the Variation Evolving Method (VEM), which originates from the continuous-time dynamics stability theory, is developed for the classic time-optimal control pro…
Dynamic backstepping control for pure-feedback nonlinear systems
Sheng Zhang, Wei-qi Qian
A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving…