NDLI: Static output feedback control design for constrained linear discrete-time systems using data cluster analysis

Content Provider	IET Digital Library
Author	Dantas, Amanda Danielle O. S. Dantas, André F. O. A. Dórea, Carlos E. T.
Abstract	Methods for the design of static output feedback controllers for linear discrete-time systems subject to state and control constraints, additive disturbance and measurement noise are proposed in this study. First, the authors show how the design can be performed through the construction of an output feedback controlled invariant set together with the solution of several multiparametric linear programming (mp-LP) problems. This technique is commonly used to characterise the optimal control action as a piecewise affine (PWA) function over polyhedral regions. However, when applied to constrained multiple output systems, it may require high online computational cost and large memory capacity, due to the number of polyhedral regions resulting from the mp-LP solution. Within this context, the authors present a new approach to compute a PWA static output feedback control law over a smaller number of polyhedral regions using the K q-flat data cluster analysis algorithm. Optimisation problems to compute PWA sub-optimal static output feedback control laws over an even smaller number of regions are also proposed, and illustrated by numerical examples.
Starting Page	2541
Ending Page	2550
Page Count	10
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 18, Dec (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/18
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5744
Journal	IET Control Theory & Applications
Publisher Date	2018-10-08
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Additive Disturbance Constrained Linear Discrete-time System Constrained Multiple Output System Control Constraint Control System Analysis Control System Synthesis Discrete Control System Discrete Time System Feedback High Online Computational Cost K Q-flat Data Cluster Analysis Algorithm Large Memory Capacity Linear Discrete-time System Subject Linear Programming Linear System Measurement Noise Mp-LP Problem Multiparametric Linear Programming Optimal Control Optimal Control Action Optimisation Technique Output Feedback Controlled Invariant Pattern Clustering Piecewise Affine Function Polyhedral Region PWA Static Output Feedback Control Law PWA Sub-optimal Static Output Feedback Control Law Static Output Feedback Control Design Static Output Feedback Controller Synthesis Method
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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