Satisfactory Opportunity Awaiting Control

This dissertation deals mainly with opportunity awaiting control problems for a class of linear stochastic system with state feedback, which are problems under constraints of circular pole index, H_∞ index and opportunity awaiting indices(i.e. average awaiting time, average residence time ).With satisfactory control theory, opportunity awaiting control demand not minimal optimal control but satisfactory control in which all desired performance indices are met in admitted range and not necessary to achieve optimal value. As one practical and widely applicable new field, opportunity awaiting control is charactered as: it take idea value of the controlled variable from traditional generalized motional point to target area in space. Due to introduction of target area, control performance indices has arisen new member—opportunity awaiting index sets; the objective function turns from traditional "minimization function with certain constraints" into several performance indices be met simultaneously, which is more cater for control engineering demand; it doesn't pursue uniqueness of control strategy but more large control strategy sets based on analytical method or convergent iterative algorithm, which provide more freedom for control design and engineering demonstration; it also merge satisfactory control, estimation, modeling and model reduction into one theoretic constitution.This dissertation makes great efforts to formulate explicitly ideal of opportunity awaiting control and estimation, constitute opportunity awaiting theory with definitions, theorems, corollaries, give analytical consistency condition of opportunity awaiting indices for low order linear system, analyze the consistency area and address control strategy, present numeric control strategy for linear stochastic system with more practical sufficient or necessary consitency condition.The main contents of this dissertation are as follows:In study on opportunity awaiting control for discrete linear system, opportunity awaiting indices with interval target area, rectangular area, elliptic area are formulated, consistency between opportunity awaiting indices is analyzed, one LMI pair is constituted with opportunity awaiting indices in terms of nonlinear matrix inequalities, which is subset of solution sets of opportunity awaiting control strategy, then opportunity awaiting indices, circular pole index,H_∞, index constraints are transformed into bilinear matrix inequalities,a...