Analysis and Nonlinear Control of Implicit Discrete-time Dynamic Systems
نویسندگان
چکیده
This contribution is concerned with the observability and accessibility analysis of implicit discrete-time dynamic systems. The presented approach is motivated by a geometric representation of discrete-time systems and the crucial observation that the Lie group investigations known for implicit continuoustime dynamic systems is also appropriate in the discrete-time scenario. The obtained formal method to state conditions for local observability and accessibility allows can be done by computer algebra. Furthermore, a nonlinear discrete-time controller design is discussed by considering the class of input-to-state linearizable continuous-time control systems. This approach is based on the calculation of a control sequence such that the system trajectories considered at equidistant time steps coincide with those of a linear discrete-time one. Copyright c ©2005 IFAC
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