Robust time-optimal control of constrained linear systems

DOI10.1016/S0005-1098(97)00157-XzbMath0910.93052OpenAlexW2152721252MaRDI QIDQ1388103

W. R. Schroeder, David Q. Mayne

Publication date: 7 April 1999

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(97)00157-x

zbMATH Keywords

nonlinear controlperturbationrobust controltime-optimal feedback controltime-optimal problem with constraints

Mathematics Subject Classification ID

Controllability (93B05) Feedback control (93B52) Discrete-time control/observation systems (93C55) Synthesis problems (93B50) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (35)

Unnamed Item ⋮ Feasibility in predictive control of constrained linear systems: the output feedback case ⋮ Constrained piecewise linear systems with disturbances: Controller designviaconvex invariant sets ⋮ A framework for multiple robust explicit MPC controllers for linear systems ⋮ Robust explicit model predictive control via regular piecewise-affine approximation ⋮ Minimax optimal control of linear system with input-dependent uncertainty ⋮ Optimized robust control invariance for linear discrete-time systems: theoretical foundations ⋮ Robust time-optimal control of constrained linear systems ⋮ Robust synergetic control design under inputs and states constraints ⋮ Application of shifted Jacobi pseudospectral method for solving (in)finite-horizon min–max optimal control problems with uncertainty ⋮ Distributed MPC based on robustly controllable sets for PWA systems ⋮ DOUBLE INVARIANCE: A NEW EQUILIBRIUM CONCEPT FOR TWO-PERSON DYNAMIC GAMES ⋮ Robust model predictive control using tubes. ⋮ Design of robust model-based controllers via parametric programming. ⋮ Time-optimal control for discrete-time hybrid automata ⋮ The minimal disturbance invariant set: outer approximations via its partial sums ⋮ Min-max optimal control of linear systems with uncertainty and terminal state constraints ⋮ Robust receding horizon predictive control for systems with uncertain dynamics and input saturation ⋮ Robust model predictive control of constrained linear systems with bounded disturbances ⋮ Systems with persistent disturbances: Predictive control with restricted constraints ⋮ Robust output feedback time optimal decomposed controllers for linear systems via moving horizon estimation ⋮ Control of constrained nonlinear uncertain discrete-time systemsviarobust controllable sets: a modal interval analysis approach ⋮ A variable structure convex programming based control approach for a class of uncertain linear systems ⋮ RPI Approximations of the mRPI Set Characterizing Linear Dynamics with Zonotopic Disturbances ⋮ Control of constrained dynamic systems ⋮ Discussion on: ``Variable horizon robust predictive control via adjustable controllability sets ⋮ Robust predictive regulation with invariance constraint ⋮ Letter to the editor on the paper ``Variable horizon robust predictive control via adjustable controllability sets ⋮ Positive invariant sets for fault tolerant multisensor control schemes ⋮ An ellipsoidal off-line MPC scheme for uncertain polytopic discrete-time systems ⋮ A polytopic game ⋮ On the computation of invariant sets for constrained nonlinear systems: an interval arithmetic approach ⋮ Nonlinear tracking control in the presence of state and control constraints: a generalized reference governor ⋮ Time optimal model predictive control for linear systems based on ellipsoidal and polytopic sets ⋮ Minkowski-Lyapunov functions: alternative characterization and implicit representation

Uses Software

• GBT

Cites Work

• Unnamed Item
• Unnamed Item
• Global stabilization and restricted tracking for multiple integrators with bounded controls
• The internal model principle for linear multivariable regulators
• Robust time-optimal control of constrained linear systems
• On the minimax reachability of target sets and target tubes
• Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints
• Linear systems with state and control constraints: the theory and application of maximal output admissible sets
• Nonlinear control of constrained linear systems
• A general result on the stabilization of linear systems using bounded controls
• Discrete‐time reference governors and the nonlinear control of systems with state and control constraints
• Viability theory

This page was built for publication: Robust time-optimal control of constrained linear systems