2015/03/26 by Raktim Bhattacharya, Bhattacharya, Raktim
Biochemistry, Genetics and Molecular Biology · Decision Sciences · Physics and Astronomy · #FOS: Electrical engineering #Gene Regulatory Network Analysis #Probabilistic and Robust Engineering Design #Systems and Control (eess.SY) #electronic engineering #information engineering #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1503.07943
openalex publication_date 2015/03/26 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Here we use polynomial chaos framework to design controllers for linear\nparameter varying (LPV) dynamical systems. We assume the scheduling variable to\nbe random and use polynomial chaos approach to synthesize the controller for\nthe resulting linear stochastic dynamical system. The stability of the LPV\nsystem is formulated as an exponential mean-square (EMS) stability problem. Two\nalgorithms are presented that guarantee EMS stability of the stochastic system\nand correspond to parameter dependent and independent Lyapunov functions,\nrespectively. LPV controllers from the polynomial chaos based framework is\nshown to outperform LPV controller from classical design for an example\nnonlinear system.\n