Dynamic programming for constrained optimal control of discrete-time linear hybrid systems
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Summary
The aim of the paper is to give basic theoretical results on the structure of the optimal state-feedback solution and of the value function and to describe how the state- feedback optimal control law can be constructed by combining multiparametric programming and dynamic programming.
- Type
- article
- Published
- 2005-10-01
- Cited by
- 385
- References
- 21
- OpenAlex
- https://openalex.org/W1967468346
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:18156041
Keywords
Dynamic programming, Optimal control, Bellman equation, Linear programming, State (computer science)
References
- Control and estimation of hybrid systems with mathematical optimization
- A new algorithm for constrained finite time optimal control of hybrid systems with a linear performance index
- Control of systems integrating logic, dynamics, and constraints
- The explicit linear quadratic regulator for constrained systems
- Point-to-Set Maps in Mathematical Programming
- Constrained optimal control
- Equivalence of hybrid dynamical models
- Hybrid Modeling and Control of a Direct Injection Stratified Charge Engine
- Special issue on hybrid systems: theory and applications a brief introduction to the theory and applications of hybrid systems
- Sensitivity analysis for nonlinear programming using penalty methods
- Nonlinear regulation: The piecewise linear approach
- HYSDEL-a tool for generating computational hybrid models for analysis and synthesis problems
- Efficient conversion of mixed logical dynamical systems into an equivalent piecewise affine form
- Hybrid system theory based optimal control of an electronic throttle
- A unified framework for hybrid control: model and optimal control theory
- Modeling and control of co-generation power plants: a hybrid system approach
- Controllers for reachability specifications for hybrid systems
- Hybrid theory based optimal control of electronic throttle
- Hybrid Control of an Automotive Robotized Gearbox for Reduction of Consumptions and Emissions
- Multi-object Adaptive Cruise Control
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- A Wireless Platform for Energy Efficient Building Control Retrofits
- Automation and control architecture for hybrid pipeline robots
- Commande et observation d’une classe de systèmes linéaires à commutations : Application aux convertisseurs de puissance DC-DC
- Optimal low-power control strategies for an autonomous piezoelectric micro-robot
- A Computationally Efficient Stabilizing Model Predictive Control of Switched Systems
- Diagnostic des systèmes dynamiques hybrides à modes non linéaires
- A Benchmark on Hybrid Control of a Mechanical System with Backlash
- Commande prédictive des systèmes hybrides et application à la commande de systèmes en électronique de puissance.
- Modeling and control of hybrid dynamical systems: the hybrid toolbox for MATLAB
- Towards Real-Time Model Predictive Control Approach for Autonomous Active Steering
- Optimal Control of Hybrid Systems in Air Traffic Applications
- Parametric Programming in Control Theory
- Observation et commande par systèmes à fonctionnement par morceaux : application aux asservissements visuels
- Explicit hybrid model-predictive control: The exact solution
- A Real-Time Model Predictive Control Approach for Autonomous Active Steering
- On the economic theory of crop rotations: value of the crop rotation effects and implications on acreage choice modeling
- Linear and Nonlinear Distributed Economic Model Predictive Control
- Augmented Models in Estimation and Control
- Multi-parametric programming and explicit model predictive control of hybrid systems
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