Ionic polymer–metal composites (IPMCs) form an important category of electroactive
polymers and have many potential applications in biomedical, robotic and
micro/nanomanipulation systems. In this paper, a nonlinear, control-oriented model is
proposed for IPMC actuators. A key component in the proposed model is the nonlinear
capacitance of the IPMC. A nonlinear partial differential equation (PDE), which can
capture the fundamental physics in the IPMC, is fully considered in the derivation of
nonlinear capacitance. A systems perspective is taken to get the nonlinear mapping from
the voltage to the induced charge by analytically solving the nonlinear PDE at the steady
state when a step voltage is applied. The nonlinear capacitance is incorporated into
a circuit model, which includes additionally the pseudocapacitance due to the
electrochemical adsorption process, the ion diffusion resistance, and the nonlinear DC
resistance of the polymer, to capture electrical dynamics of the IPMC. With
electromechanical coupling, the curvature output is derived based on the circuit model. The
proposed model is formulated in the state space, which will be the starting point for
nonlinear controller design. Experimental verification shows that the proposed
model can capture the major nonlinearities in the electrical response of the IPMC.