Invariance and Sliding Modes. Application to coordination of multi-agent systems, bioprocesses estimation, and control in living cells.

TitleInvariance and Sliding Modes. Application to coordination of multi-agent systems, bioprocesses estimation, and control in living cells.
Publication TypeThesis
Year of Publication2014
AuthorsVignoni A
Academic DepartmentDepartament d'Ingenyeria de Sistemes i Automática
Number of Pages233
UniversityUniversitat Politècnica de València
CityValència
Abstract

The present thesis employs ideas of set invariance and sliding modes
in order to deal with different relevant problems control of nonlinear
systems. Initially, it reviews the techniques of set invariance as well as
the more relevant results about sliding modes control. Then the main
methodologies used are presented: sliding mode reference conditioning,
second order sliding modes and continuous approximation of sliding
modes. Finally, the methodologies are applied to different problems in
control theory and to a variety of biologically inspired applications.
The contributions of the thesis are:
The development of a method to coordinate dynamical systems
with different dynamic properties by means of a sliding mode auxiliary
loop shaping the references given to the systems as function
of the local and global goals, the achievable performance of each
system and the available information of each system.
Design methods for second order sliding mode algorithms. The
methods decouple the problem of stability analysis from that of
finite-time convergence of the super-twisting sliding mode algorithm.
A nonlinear change of coordinates and a time-scaling are
used to provide simple, yet flexible design methods and stability
proofs. Application of the method to the design of finite-time convergence
estimators of bioprocess kinetic rates and specific biomass
growth rate, from biomass measurements. Also the estimators are
validated with experimental data.
The proposal of a strategy to reduce the variability of a cell-to-cell
communication signal in synthetic genetic circuits. The method
uses set invariance and sliding mode ideas applied to gene expression
networks to obtain a reduction in the variance of the communication signal.

Experimental approaches available to modify the
characteristics of the gene regulation function are described.

URLhttp://goo.gl/P3914x