Constrained Optimal Control of Linear and Hybrid Systems

By Francesco Borrelli. IEEE Transactions on Automatic Control, 2003

515 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/cce1b046283bb795dd7203c599ad0a0ae824acc6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

In Control and Systems Engineering

Citations in the corpus

Multi-Parametric Toolbox (MPT) (2004, methodology): “In order to robustify controllers with respect to additive disturbances, a minimax approach is taken [20] which is identical to what was proposed for linear systems [19, 9].”
Learning Model Predictive Control for Iterative Tasks. A Data-Driven Control Framework (2016, methodology): “For more details on barycentric approximation, we refer to [18].”
Explicit Model-Predictive Control of a PWM Inverter With an LCL Filter (2009, methodology): “In explicit MPC (EMPC), this discrete-time optimal control problem is reformulated as a multiparametric program, as described in [19] and [20].”
Receding Horizon Temporal Logic Planning (2012, methodology): “we describe how can be computed using an idea from constrained robust optimal control [27].”
Decentralized receding horizon control for large scale dynamically decoupled systems (2009, methodology): “Using algorithms described in [1, 2], the decentralized receding horizon framework proposed in this paper has been applied in simulation to a number of large scale control problems with success.”
Linear offset-free Model Predictive Control (2009, methodology): “Methods have been developed [3,10,11,17] to solve (15), (16) explicitly to obtain a state feedback control law u(t) = c0(x̂(t), d̂(t), r(t)) in the form of a look-up table.”
Analysis and synthesis of switched linear control systems (2005, methodology): “To solve the optimal control problem, a quadraticparametric-programming based approach was developed to solve the Hamilton–Jacobi–Bellman (HJB) equation associated with the problem ( Borrelli, 2003), and an approach based on the multiparametric mixed integer quadratic program (mp-MIQP) was establish”
Optimization over state feedback policies for robust control with constraints (2006, background): “If all the relevant constraint sets are polyhedral and the cost function is suitably chosen, then the solution turns out to be a time-varying piecewise affine state feedback control policy [2, 11, 17, 31, 46, 50].”
Model predictive control for the operation of building cooling systems (2010, background): “standard in the process industry [3]: its success is largely due to its almost unique ability to handle, simply and effectively, hard constraints on control and states.”
A survey on stability analysis of discrete-time piecewise affine systems (2005, background): “The weights were always Qu = 10I and Qx = I. Calculation of an explicit solution to these optimal control problems all result in a PWA control law, formalized in the following theorem (Borrelli, 2003; Bemporad et al., 2002).”