Controlled invariant feasibility - a general approach to enforcing strong feasibility in MPC applied to move-blocking

DOI10.1016/j.automatica.2009.09.020zbMath1192.93071OpenAlexW2133183259MaRDI QIDQ976228

Kenji Kashima, Jun-Ichi Imura, Ravi Gondhalekar

Publication date: 17 June 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.09.020

zbMATH Keywords

model predictive controlset invarianceconstrained controlmove-blockingstrong feasibility

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

Related Items

Robust and nonlinear control literature survey (No. 17) ⋮ Efficient constrained model predictive control ⋮ A computationally efficient robust tube based MPC for linear switched systems ⋮ Oops! I cannot do it again: testing for recursive feasibility in MPC ⋮ Robust variable horizon MPC with move blocking ⋮ Suboptimal receding horizon estimation via noise blocking ⋮ Computing Controlled Invariant Sets from Data Using Convex Optimization ⋮ Stability and feasibility of state constrained MPC without stabilizing terminal constraints ⋮ Controlled invariant feasibility - a general approach to enforcing strong feasibility in MPC applied to move-blocking ⋮ Least-restrictive move-blocking model predictive control ⋮ Shrinking horizon parametrized predictive control with application to energy-efficient train operation ⋮ Move blocked model predictive control with guaranteed stability and improved optimality using linear interpolation of base sequences ⋮ Alternative parameterisation within predictive control: a systematic selection

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controlled invariant feasibility - a general approach to enforcing strong feasibility in MPC applied to move-blocking
• Least-restrictive move-blocking model predictive control
• Set invariance in control
• Analysis of discrete-time piecewise affine and hybrid systems
• \((A,B)\)-invariant polyhedral sets of linear discrete-time systems
• Constrained model predictive control: Stability and optimality
• Receding horizon control applied to optimal mine planning
• Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints
• Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions
• An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
• Set-theoretic methods in control
• Viability theory
• The explicit linear quadratic regulator for constrained systems