Non-smooth Model Predictive control: Stability and applications to Hybrid Systems
Explore this paper's citation graph
Summary
This report investigates the stability of hybrid systems in closed-loop with Model Predictive Controllers (MPC) and derives a priori sufficient conditions for Lyapunov asymptotic stability and exponential stability and proves that Lyap unov stability is achieved for both terminal cost and constraint set and terminal equality constraint hybrid MPC.
- Type
- article
- Published
- 2005-09-01
- Cited by
- 5
- References
- 24
- Access
- Open access
- OpenAlex
- https://openalex.org/W42290768
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:55312830
Keywords
Model predictive control, Mathematics, Lyapunov function, Mathematical optimization, Quadratic programming
References
- Efficient computation of feedback controllers for constrained systems
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- Optimal control of constrained, piecewise affine systems with bounded disturbances
- Convergence of an algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
- Nonlinear regulation: The piecewise linear approach
- Discrete-time stability with perturbations: application to model predictive control
- Theory and computation of disturbance invariant sets for discrete-time linear systems
- Constrained Control and Estimation: an Optimization Approach
- Stability analysis of hybrid systems with a linear performance index
- Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
- Efficient conversion of mixed logical dynamical systems into an equivalent piecewise affine form
- Computation of invariant sets for piecewise affine discrete time systems subject to bounded disturbances
- Stabilization conditions for model predictive control of constrained PWA systems
- A survey of industrial model predictive control technology
- Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions
- Matrix computations
- Stabilizing receding horizon control of PWL systems: An LMI approach
- Influence of cultivation temperature on the ligninolytic activity of selected fungal strains
- Multi-Parametric Toolbox (MPT)
- The stability of dynamical systems
Cited by
- On the stability of quadratic forms based model predictive control of constrained PWA systems
- Optimal control and analysis for constrained piecewise affine systems
- On the Stability and Robustness of Non-smooth Nonlinear Model Predictive Control
- Ellipsoidal Lyapunov-based hybrid model predictive control for mixed logical dynamical systems with a recursive feasibility guarantee
- Discrete-Time Non-smooth Nonlinear MPC: Stability and Robustness
Related papers
- Computation of terminal costs and sets for discrete–time nonlinear MPC
- An Improved Lexicographic MO-MPC Based on Linear Decomposition
- Distributed Model Predictive Control With Reconfigurable Terminal Ingredients for Reference Tracking
- Robust Tube-Based MPC with Piecewise Affine Control Laws
- Robust and stochastic linear MPC for systems subject to multiplicative uncertainty
- MPC-based approximation of dual control by information maximization
- Stabilizing Tube-Based Model Predictive Control: Terminal Set and Cost Construction for LPV Systems (extended version)
- Improved Design of Nonlinear Model Predictive Controllers
- A New Approach to Model Predictive Control Based on Two Degrees of Freedom Control and B-Splines Input Shaping