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A series of convex optimal control problems is proposed as mathematical models of human postural control during quiet standing. The human body is modeled as a two-segment inverted pendulum controlled by a joint torque. Several performance criteria that are quartic in the state and quadratic in the control are utilized. The discrete-time approximation to each of these problems is a convex programming...
This paper addresses the reduced-order filtering design problem for continuous-time linear systems. The H2 and Hinfin norms of the estimation error, used as performance criteria, are discussed and a new linear matrix inequalities (LMI)-based method for reduced-order filter design is proposed. Differently from the methods available in the literature to date, the one presented here does not solve the...
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