Optimal control of switched systems with multiple time-delays and a cost on changing control

DOI10.3934/jimo.2017042zbMath1412.49011OpenAlexW2606545934MaRDI QIDQ1716936

Yujing Wang, Chongyang Liu, Zhaohua Gong

Publication date: 5 February 2019

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2017042

zbMATH Keywords

total variationoptimal controlnonlinear optimizationtime-delay systemswitched system

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving relations other than differential equations (49J21) Hybrid systems of functional-differential equations (34K34)

Related Items (25)

Minimizing control volatility for nonlinear systems with smooth piecewise-quadratic input signals ⋮ The time-scaling transformation technique for optimal control problems with time-varying time-delay switched systems ⋮ Primal-dual method for solving a linear-quadratic multi-input optimal control problem ⋮ Multi-objective optimization of a nonlinear batch time-delay system with minimum system sensitivity ⋮ Robust optimal control for a batch nonlinear enzyme-catalytic switched time-delayed process with noisy output measurements ⋮ Robust identification of nonlinear state-dependent impulsive switched system with switching duration constraints ⋮ Time-scaling transformation for optimal control problem with time-varying delay ⋮ Time-delay optimal control of a fed-batch production involving multiple feeds ⋮ An optimal PID tuning method for a single-link manipulator based on the control parametrization technique ⋮ A time-scaling technique for time-delay switched systems ⋮ An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints ⋮ An optimal PID tuning method for a two-link manipulator via an exact penalty function method ⋮ Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture ⋮ An enhanced control parameterization technique with variable switching times for constrained optimal control problems with control-dependent time-delayed arguments and discrete time-delayed arguments ⋮ Optimal switching control of 1,3-propanediol fed-batch production with a cost on smooth feeding rate variation ⋮ Optimal minimal variation control with quality constraint for fed-batch fermentation processes involving multiple feeds ⋮ Robust optimal control problem with multiple characteristic time points in the objective for a batch nonlinear time-varying process using parallel global optimization ⋮ Strong stability of an optimal control hybrid system in fed-batch fermentation ⋮ The viability of switched nonlinear systems with piecewise smooth Lyapunov functions ⋮ Optimal switching signal design with a cost on switching action ⋮ Examination of solving optimal control problems with delays using GPOPS-II ⋮ Nonlinear dynamical analysis and control strategies of a network-based SIS epidemic model with time delay ⋮ Anode effect prediction based on collaborative two-dimensional forecast model in aluminum electrolysis production ⋮ Control variable parameterisation with penalty approach for hypersonic vehicle reentry optimisation ⋮ On the optimal control problems with characteristic time control constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modelling and optimal control for a fed-batch fermentation process
• The control parameterization method for nonlinear optimal control: a survey
• Switching time and parameter optimization in nonlinear switched systems with multiple time-delays
• A new exact penalty function method for continuous inequality constrained optimization problems
• Optimal control of switching systems
• Optimal control with a cost on changing control
• Optimal switching instants for a switched-capacitor DC/DC power converter
• Time-delay systems: an overview of some recent advances and open problems.
• Optimal strategies for the control of a train
• Multi-objective optimization of nonlinear switched time-delay systems in fed-batch process
• Optimal control of switched systems with time delay
• Control parameterization enhancing transform for optimal control of switched systems
• Minimizing control variation in nonlinear optimal control
• Towards global solutions of optimal discrete-valued control problems
• Optimal impulsive control of delay systems
• Optimal control with a cost of switching control
• Numerical Optimization
• On an extremum problem
• Computational Method for a Class of Switched System Optimal Control Problems
• Optimal Control of Switched Systems Based on Parameterization of the Switching Instants

This page was built for publication: Optimal control of switched systems with multiple time-delays and a cost on changing control