| A General Result on the Stabilization of Linear Systems Using Bounded Controls (1994) | |||||||||||||||||
Abstract | |||||||||||||||||
| We present two constructions of controllers that globally stabilize linear systems subject to control saturation. We allow essentially arbitrary saturation functions. The only conditions imposed on the system are the obvious necessary ones, namely that no eigenvalues of the uncontrolled system have positive real part and that the standard stabilizability rank condition hold. One of the constructions is in terms of a "neural-network type" one-hidden layer architecture, while the other one is in terms of cascades of linear maps and saturations. Key words: linear systems, saturated actuators, bounded controls, neural nets October, 1992. Revised February 1994. 1 This research was supported in part by US Air Force Grant 91-0343 and by NSF Grant DMS-8902994. 2 Phones: (908)932-3072 [Sontag], (908)932-5407 [Sussmann] Email addresses: sontag@hilbert.rutgers.edu, sussmann@hilbert.rutgers.edu FAX: (908)932-5530 1 Introduction We consider linear time-invariant continuous-time systems 6 : x... | |||||||||||||||||
Publication details | |||||||||||||||||
| |||||||||||||||||