The problem of guaranteed cost control is investigated for a class discrete-time saturated switched systems. The purpose to design the law and state feedback such that closed-loop system asymptotically stable upper-bound function minimized. Based on multiple Lyapunov functions approach, some sufficient conditions existence controllers are obtained. Furthermore, conv...

Discrete-Time H2 Guaranteed Cost Control by Richard Anthony Conway Doctor of Philosophy in Engineering – Mechanical Engineering University of California, Berkeley Professor Roberto Horowitz, Chair In this dissertation, we first use the techniques of guaranteed cost control [28] to derive an upper bound on the worst-case H2 performance of a discrete-time LTI system with causal unstructured norm-...

In deepwater-drilling engineering, it is necessary to disconnect the bottom equipment of lower marine-riser package from blowout preventer when encountering multi-hazard environmental factors. order reduce impact recoil on drilling platform after sudden disconnection riser, in this paper, an optimal guaranteed cost H∞ control problem considered for riser. First, a three-element mass-damper-spri...

This paper deals with the control of polynomial nonlinear systems which are affine in the control. We use Bernstein polynomials and Polytopic Linear Differential Inclusion (PLDI) to design gain-scheduled controllers using a guaranteed cost framework.