Title :
Feasibility for non-square linear MPC
Author :
Shead, L.R.E. ; Rossiter, J.A.
Author_Institution :
Univ. of Sheffield, Sheffield
Abstract :
This paper investigates how the attributes of non-square systems affects feasibility in linear (MPC). Following on from the foundation set in [16], which formulated a transparent and simple approach to feasibility in linear MPC, this paper extends these ideas for application to non-square systems. Feasibility is maximised by allowing the dynamic optimisation to choose steady-state states and inputs that give offset-free tracking (as opposed to squaring the system beforehand), and prioritising appropriately between inputs and outputs when set-points are not achievable. A single stage MPC algorithm is presented, linking reference governor approaches, closed-loop paradigm MPC and non-square techniques through an approach that is novel and has the strength of simplicity.
Keywords :
closed loop systems; dynamic programming; predictive control; closed-loop paradigm; dynamic optimisation; nonsquare linear model predictive control; reference governor approach; steady-state optimisation; Cities and towns; Constraint optimization; Control engineering; Control systems; Joining processes; MIMO; State estimation; Steady-state; Target tracking; Time varying systems;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282332