On the convergence of stochastic MPC to terminal modes of operation

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that guarantee closed-loop performance bounds and boundedness of the state, but convergence to a terminal control law is typically not shown. In this work we use results on general state space Markov chains to find conditions that guarantee convergence of disturbed nonlinear systems to terminal modes of operation, so that they converge in probability to a priori known terminal linear feedback laws and achieve time-average performance equal to that of the terminal control law. We discuss implications for the convergence of control laws in stochastic MPC formulations, in particular we prove convergence for two formulations of stochastic MPC

Stochastic Model Predictive Control with Discounted Probabilistic Constraints

This paper considers linear discrete-time systems with additive disturbances, and designs a Model Predictive Control (MPC) law to minimise a quadratic cost function subject to a chance constraint. The chance constraint is defined as a discounted sum of violation probabilities on an infinite horizon. By penalising violation probabilities close to the initial time and ignoring violation probabilities in the far future, this form of constraint enables the feasibility of the online optimisation to be guaranteed without an assumption of boundedness of the disturbance. A computationally convenient MPC optimisation problem is formulated using Chebyshev's inequality and we introduce an online constraint-tightening technique to ensure recursive feasibility based on knowledge of a suboptimal solution. The closed loop system is guaranteed to satisfy the chance constraint and a quadratic stability condition.Comment: 6 pages, Conference Proceeding

Model Predictive Control approach for guidance of spacecraft rendezvous and proximity maneuvering

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/92370/1/rnc2827.pd

Impacts of energy taxation in the enlarged European Union, evaluation with GEM-E3 Europe

The objective of this study is twofold: first to analyze how the implementation of the EU energy tax policies will affect the EU and its Member States and secondly to analyze how energy tax policies can contribute to climate policy objectives in the enlarged EU

Impacts of energy taxation in the enlarged European Union, evaluation with GEM-E3 Europe

The objective of this study is twofold: first to analyze how the implementation of the EU energy tax policies will affect the EU and its Member States and secondly to analyze how energy tax policies can contribute to climate policy objectives in the enlarged EU.European Union, taxation, environment

Prospects for Energy Supply and Demand in the Southern Mediterranean: Scenarios for 2010-30. MEDPRO Technical Report No. 22/December 2012

The aim of this technical report is to quantify alternative energy demand and supply scenarios for ten southern and eastern Mediterranean countries up to 2030. The report presents the model-based results of four alternative scenarios that are broadly in line with the MEDPRO scenario specifications on regional integration and cooperation with the EU. The report analyses the main implications of the scenarios in the following areas: • final energy demand by sector (industry, households, services, agriculture and transport); • the evolution of the power generation mix, the development of renewable energy sources and electricity exports to the EU; • primary energy production and the balance of trade for hydrocarbons; • energy-related CO2 emissions; and • power generation costs

Intermittent predictive control of an inverted pendulum

Intermittent predictive pole-placement control is successfully applied to the constrained-state control of a prestabilised experimental inverted pendulum