6 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…
The Third Evolution Equation for Optimal Control Computation
Sheng Zhang, Fei Liao, Kai-Feng He
The Variation Evolving Method (VEM) that originates from the continuous-time dynamics stability theory seeks the optimal solutions with variation evolution principle. After establi…
Computation of Optimal Control Problems with Terminal Constraint via Modified Evolution Partial Differential Equation
Sheng Zhang, Kai-Feng He, Fei Liao
The Variation Evolving Method (VEM), which seeks the optimal solutions with the variation evolution principle, is further developed to be more flexible in solving the Optimal Contr…
Aircraft trajectory control with feedback linearization for general nonlinear system
Sheng Zhang, Fei Liao, Yanqing Chen +1
The feedback linearization method is further developed for the controller design on general nonlinear systems. Through the Lyapunov stability theory, the intractable nonlinear impl…
Variation Evolving for Optimal Control Computation, a Compact Way
Sheng Zhang, Jiang-Tao Huang, Kai-Feng He +1
A compact version of the variation evolving method (VEM) is developed in the primal variable space for optimal control computation. Following the idea that originates from the Lyap…
A Variation Evolving Method for Optimal Control
Sheng Zhang, En-Mi Yong, Wei-Qi Qian +1
A new method for the optimal solutions is proposed. Originating from the continuous-time dynamics stability theory in the control field, the optimal solution is anticipated to be o…