Optimal regulation of homogeneous systems

Authors:
S. Emre Tuna
Affiliations:
Center for Control Engineering and Computation, Department of Electrical and Computer Engineering University of California, Santa Barbara, CA 93106, USA
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 3
Cited 3

Homogeneous feedback controls for homogeneous systems

Systems & Control Letters
Exponentially convergent control laws for nonholonomic systems in power form

Systems & Control Letters
Homogeneous State Feedback Stabilization of Homogenous Systems

SIAM Journal on Control and Optimization

Brief paper: Growth rate of switched homogeneous systems

Automatica (Journal of IFAC)
Optimization Based Stabilization of Nonlinear Control Systems

Large-Scale Scientific Computing
Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems

SIAM Review

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Abstract

We present an offline numerical algorithm to generate a discontinuous feedback law to robustly regulate the origin of a continuous-time homogeneous system through sample and hold. The proposed feedback comes out of the solution of an infinite horizon optimization problem in discrete time and is in the form of a look-up table. We show that when applied to either chained systems or systems in power form the algorithm results in a closed loop whose origin is globally exponentially stable.