Fuzzy unknown input observer for understanding sitting control of persons living with spinal cord injury

LMI-based Design of State-Derivative Feedback Control for Takagi-Sugeno Fuzzy Descriptor Systems

“…The parameters are: m 1 = 16.1kg, m 2 = 26.64kg, l 0 = 477mm, l c = 276.66mm, g = 9.81m/s 2 . The operation ranges for the states of the system are presented in the following compact set: Blandeau et al (2018) propose to consider sin(θ)/θ ≈ cos(θ) for the operational range presented in (27), then the H2AT can be approximately represented by:…”

“…As a matter of fact, descriptor systems have been investigated extensively since the seminal paper of Luenberger (1978) and, from the modeling point of view, this kind of system description (i.e., a differential algebraic system) arises naturally in a wide variety of real problems. We can cite the use of descriptor systems to modeling mechanical systems (Blandeau et al, 2018;Guelton et al, 2008), robots (Schulte and Guelton, 2009) and electrical circuits (Newcomb and Dziurla, 1989).…”

Actuator Fault Detection for Discrete-Time Descriptor Systems via a Convex Unknown Input Observer with Unknown Scheduling Variables

“…A generalized representation for standard state-space models is given by descriptor systems [42]; within this setup, a special case considers that the descriptor matrix is invertible [43]. For this class of descriptor systems, in [27], a convex observer design has been developed, and it considers only available scheduling variables; in [44,45], an UI observer has been proposed, and it can handle unmeasurable scheduling variables by robust argumentations.…”

Feedback Linearization and Control Design for Nonlinear Descriptor Systems

“…The descriptor system representation is able to characterize differential algebraic equations, therefore it is able to model further structure properties of physical phenomenons and more general systems than the standard state-space representation (Yang et al, 2013b). As a consequence, the descriptor representation is frequently used to model mechanical systems (Blandeau et al, 2018), (Guelton et al, 2008), robots (Schulte and Guelton, 2009) and electrical circuits (Newcomb and Dziurla, 1989). Descriptor systems have been investigated extensively since Luenberger (1978) introduced its time-invariant case.…”