TY - JOUR
T1 - Incremental L2-gain stability of piecewise-affine systems with piecewise-polynomial storage functions
AU - Waitman, Sérgio
AU - Massioni, Paolo
AU - Bako, Laurent
AU - Scorletti, Gérard
PY - 2019/9/1
Y1 - 2019/9/1
N2 - This paper concerns the incremental L2-gain stability of piecewise-affine (PWA) systems. We propose sufficient conditions derived from dissipativity theory to compute an upper bound on the incremental L2-gain. This is achieved by constructing piecewise-polynomial storage functions through the use of sum of squares (SOS) relaxations. The constraints are expressed as linear matrix inequalities (LMIs), which can be solved numerically in an efficient way. The proposed conditions are verified to be less conservative than previous results found in the literature by means of a numerical example.
AB - This paper concerns the incremental L2-gain stability of piecewise-affine (PWA) systems. We propose sufficient conditions derived from dissipativity theory to compute an upper bound on the incremental L2-gain. This is achieved by constructing piecewise-polynomial storage functions through the use of sum of squares (SOS) relaxations. The constraints are expressed as linear matrix inequalities (LMIs), which can be solved numerically in an efficient way. The proposed conditions are verified to be less conservative than previous results found in the literature by means of a numerical example.
KW - Dissipativity
KW - Incremental gain
KW - Incremental stability
KW - Linear matrix inequalities
KW - Nonlinear systems
KW - Piecewise-affine systems
UR - http://www.scopus.com/inward/record.url?scp=85066738262&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2019.05.050
DO - 10.1016/j.automatica.2019.05.050
M3 - Article (Academic Journal)
AN - SCOPUS:85066738262
VL - 107
SP - 224
EP - 230
JO - Automatica
JF - Automatica
SN - 0005-1098
ER -