Algebraic methods for nonlinear control systems. Theory and applications.

Claude H. Moog, Anna Maria Perdon, Guiseppe Conte

Publication date: 15 January 2007

Published in: Communications and Control Engineering (Search for Journal in Brave)

accessibility observability output feedback control feedback linearization canonical decomposition model matching problem disturbance-decoupling problem non-interacting control problem nonlinear continuous time control systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Algebraic methods (93B25)

Related Items

Algebraic necessary and sufficient condition for difference flatness ⋮ Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems ⋮ Measurement feedback disturbance decoupling in discrete-time nonlinear systems ⋮ On the properties of forward and backward shifts of vector fields ⋮ Accessibility conditions of MIMO nonlinear control systems on homogeneous time scales ⋮ On Retarded Nonlinear Time-Delay Systems That Generate Neutral Input-Output Equations ⋮ Fixed-time observer with simple gains for uncertain systems ⋮ Feedback linearization of an active magnetic bearing system operated with a zero-bias flux ⋮ Comments on: ``On structural accessibility of network nonlinear systems ⋮ Static state feedback linearization of nonlinear control systems on homogeneous time scales ⋮ Input-output linearization of discrete-time systems by dynamic output feedback ⋮ Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability ⋮ A survey on observability of Boolean control networks ⋮ An improved U-control design for nonlinear systems represented by input/output differential models with a disturbance observer ⋮ Observability criteria for impulsive control systems with applications to biomedical engineering processes ⋮ Relaxing realizability conditions for discrete-time nonlinear systems ⋮ Discussion on: ``Unified approach to the problem of full decoupling via output feedback ⋮ Transformation of nonlinear discrete-time state equations into the observer form: revision ⋮ Language of infinite jets in nonlinear control ⋮ Nonlinear input-output mappings and their minimal realizations ⋮ Unnamed Item ⋮ Functions’ algebra in nonlinear control: computational aspects and software ⋮ Feedback linearization of possibly non-smooth systems ⋮ Comparison of LPV and nonlinear system theory: a realization problem ⋮ Some remarks on Kähler differentials and ordinary differentials in nonlinear control theory ⋮ An invariant observer for a chemostat model ⋮ Transformation the nonlinear system into the observer form: simplification and extension ⋮ Control systems on regular time scales and their differential rings ⋮ State feedback linearization of nonlinear control systems on homogeneous time scales ⋮ Construction of invertible input-output mappings and parameter identification ⋮ Global linearization approach to nonlinear control systems: a brief tutorial overview ⋮ A Unified Method to Decentralized State Detection and Fault Diagnosis/prediction of Discrete-event Systems ⋮ Input-output decoupling of discrete-time nonlinear systems by dynamic measurement feedback ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Realizations and minimal realizations of input-output mappings of general form ⋮ Minimal realizations of nonlinear systems ⋮ Minimal realizations of nonlinear systems ⋮ On accessibility conditions for state space nonlinear control systems on homogeneous time scales ⋮ Transformations of descriptions of nonlinear systems ⋮ Strong accessibility and integral manifolds of the continuous-time nonlinear control systems ⋮ Weak reachability and controllability of discrete-time nonlinear systems: generic approach and singular points ⋮ Input-output systems and Bäcklund transformations ⋮ Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms ⋮ Unnamed Item ⋮ Disturbance decoupling problem: logic-dynamic approach-based solution ⋮ Unnamed Item