## Abstract

Digital control systems with random but bounded delays in the feedback loop can be modeled as finite-dimensional, discrete-time jump linear systems, with the transition jumps being modeled as finite-state Markov chains. This type of system can be called a 'stochastic hybrid system'. Due to the structure of the augmented state-space model, control of such a system is an output feedback problem, even if a state feedback law is intended for the original system. We present a V-K iteration algorithm to design switching and non-switching controllers for such systems. This algorithm uses an outer iteration loop to perturb the transition probability matrix. Inside this loop, one or more steps of V-K iteration is used to do controller synthesis, which requires the solution of two convex optimization problems constrained by LMI's.

Original language | English |
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Pages (from-to) | 2199-2204 |

Number of pages | 6 |

Journal | Proceedings of the American Control Conference |

Volume | 3 |

State | Published - 2000 |

Externally published | Yes |

Event | 2000 American Control Conference - Chicago, IL, USA Duration: Jun 28 2000 → Jun 30 2000 |