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Min-max model predictive control with robust zonotope-based observer

Authors

Witheephanich, Kritchai , ORIHUELA ESPINA, DIEGO LUIS, Garcia, Ramon A. , ESCAÑO GONZÁLEZ, JUAN MANUEL, IEEE

External publication

No

Scope

Conference Paper

Nature

Científica

JCR Quartile

SJR Quartile

Publication date

01/01/2016

ISI

000388667900103

Scopus Id

2-s2.0-85003905097

Abstract

This paper considers the problem of robust estimation and constrained model predictive control (MPC). The paper deals with a discrete linear time-invariant system affected by additive bounded disturbances, whose states are measurable, but not directly accessible. In order to improve the control performance, a state estimator is desirable. The design problem of an observer based on zonotopes to estimate the system states of the uncertain system is addressed. Then, the min-max MPC optimisation problem formulation based on the designed robust observer as a quadratic program (QP) is described. An efficient implementation of the proposed robust observer-based control algorithm that can be solved by a standard QP is validated by simulation through the regulator problem of a cart pendulum system.

Keywords

Automation; Invariance; Linear systems; Optimization; Pendulums; Predictive control systems; Quadratic programming; Time varying control systems; Bounded disturbances; Constrained model predictive control; Control performance; Efficient implementation; Linear time invariant systems; Min-max model predictive controls; Optimisation problems; Quadratic programs; Model predictive control