The control parameterization method for nonlinear optimal control: A survey

QR Code

The control parameterization method for nonlinear optimal control: A survey

The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, t...

Full description

Bibliographic Details
Main Authors:	Lin, Qun, Loxton, Ryan, Teo, Kok Lay
Format:	Journal Article
Published:	American Institute of Mathematical Sciences 2014
Subjects:	switching times time-scaling transformation state constraints control parameterization Optimal control
Online Access:	http://hdl.handle.net/20.500.11937/9322

Similar Items

Switching time optimization for nonlinear switched systems: Direct optimization and the time-scaling transformation
by: Loxton, Ryan, et al.
Published: (2014)

Guaranteed-cost controls of minimal variation: A numerical algorithm based on control parameterization
by: Loxton, Ryan, et al.
Published: (2014)

A computational method for solving time-delay optimal control problems with free terminal time
by: Liu, C., et al.
Published: (2014)

Optimal train control via switched system dynamic optimization
by: Zhong, W., et al.
Published: (2021)

Minimizing control variation in discrete-time optimal control problems
by: Zhang, Y., et al.
Published: (2016)

A New Computational Method for Optimizing Nonlinear Impulsive Systems
by: Lin, Qun, et al.
Published: (2011)

Optimal discrete-valued control computation
by: Yu, Changjun, et al.
Published: (2013)

Optimal Control of Nonlinear Switched Systems: Computational Methods and Applications
by: Lin, Qun, et al.
Published: (2013)

Optimal state-delay control in nonlinear dynamic systems
by: Liu, C., et al.
Published: (2022)

A New Computational Method for a Class of Free Terminal Time Optimal Control Problems
by: Qun, Lin, et al.
Published: (2011)

Switching time and parameter optimization in nonlinear switched systems with multiple time-delays
by: Liu, C., et al.
Published: (2014)

Minimizing control variation in nonlinear optimal control
by: Loxton, Ryan, et al.
Published: (2013)

Optimal Control Computation for Discrete Time Time-Delayed Optimal Control Problem with All-Time-Step Inequality Constraints
by: Li, Bin, et al.
Published: (2010)

Finite Element Approximation and Input Parameterization for the Optimal Control of Current Profiles in Tokamak Plasmas
by: Ren, Z., et al.
Published: (2014)

Tracking Control of Linear Switched Systems
by: Li, R., et al.
Published: (2007)

Optimal Guidance for Lunar Module Soft Landing
by: Zhou, Jingyang, et al.
Published: (2010)

Optimal feedback control for dynamic systems with state constraints: An exact penalty approach
by: Lin, Qun, et al.
Published: (2014)

An Efficient Computational Approach to a Class of Minmax Optimal Control Problems with Applications
by: Li, Bin, et al.
Published: (2009)

Minimizing control volatility for nonlinear systems with smooth piecewise-quadratic input signals
by: Loxton, Ryan, et al.
Published: (2020)

Global stabilization of switched control systems with time delay
by: Zhang, Y., et al.
Published: (2014)

Global Optimization Method for Continuous-Time Sensor Scheduling
by: Woon, Siew Fang, et al.
Published: (2010)

Water hammer mitigation via PDE-constrained optimization
by: Chen, T., et al.
Published: (2015)

Time optimal Zermelo's navigation problem with moving and fixed obstacles
by: Li, B., et al.
Published: (2013)

Optimal Feedback Control for Stochastic Impulsive Linear Systems Subject to Poisson Processes
by: Feng, Zhiguo, et al.
Published: (2010)

A neighboring extremal solution for an optimal switched impulsive control problem
by: Jiang, C., et al.
Published: (2012)

Existence for calculus of variations and optimal control problems on time scales
by: Zhan, Zaidong, et al.
Published: (2012)

Parameter estimation for nonlinear time-delay systems with noisy output measurements
by: Lin, Qun, et al.
Published: (2015)

Min-max optimal control of linear systems with uncertainty and terminal state constraints
by: Wu, C., et al.
Published: (2013)

Optimal control of nonlinear Markov jump systems by control parametrisation technique
by: Jin, L., et al.
Published: (2022)

Optimal boundary control for water hammer suppression in fluid transmission pipelines
by: Chen, T., et al.
Published: (2015)

State-delay estimation for nonlinear systems using inexact output data
by: Lin, Qun, et al.
Published: (2014)

An integrated optimal control algorithm for discrete-time nonlinear stochastic system
by: Kek, S., et al.
Published: (2010)

An optimal control approach to robust control of nonlinear spacecraft rendezvous system with θ-D technique
by: Gao, X., et al.
Published: (2013)

Optimal parameter selection for nonlinear multistage systems with time-delays
by: Liu, C., et al.
Published: (2014)

Optimal investment and proportional reinsurance with risk constraint
by: Liu, J., et al.
Published: (2013)

A study of optimization and optimal control computation : exact penalty function approach
by: Yu, Changjun
Published: (2012)

Generalized multi-scale control scheme for cascade processes with time-delays
by: Nandong, Jobrun, et al.
Published: (2014)

Optimization of a fed-batch bioreactor for 1,3-propanediol production using hybrid nonlinear optimal control
by: Ye, J., et al.
Published: (2014)

Multi-Scale Control: Improved Technique to Overcome Time-Delay Limitation
by: Nandong, Jobrun, et al.
Published: (2013)

Simulated real-time controller for tuning algorithm using modified hill climbing approach
by: Ahmed, Ahmed Abdulelah
Published: (2014)