Reliable H_∞Control And Reliable Regional Pole Assingment For Linear Systems With Mixed Fault

With the development of technology, reliable control was emerged and was got good development. In project, system failures have three types:discrete failure, continuous failure and mixed failure. In particular, the mixed failure is discovered recently so that the reliable control on the mixed failure model has a great development space. This paper proposes two new approaches of dealing with con-tinuous failure matrix, and it gives two approaches of dealing with mixed failure matrix corresponding the former approaches. In addition, it proposed a new equivalent theory of matrix inequality, and it gives a real bounded lemma with equivalence for delta operator systems. Based on these theories, it studies the reliable H∞control and reliable regional pole assignment for several classes of linear sys-tems. For actuator fault model, all of the following problems are concerned by using state feedback, in terms of linear matrix inequality(LMI).First, it researches the reliable control H∞for the above-mentioned systems. Based on continuous failure model and mixed failure model, respectively, it gives the necessary and sufficient conditions for the closed-loop continuous-time systems, discrete-time systems, continuous-time interval systems and delta operator systems that are asymptotically stable and whose H∞performances are strictly less than a specified positive scalar; and it gives also a sufficient condition for continuous-time time-delay systems that is asymptotically stable and whose Hx performances are strictly less than a specified positive scalar.Second, it studies the problem of reliable pole assignment. Consider the above-mentioned failure models respectively, it gives the corresponding necessary and sufficient condition of all the closed-loop poles are located within a pre-specified unbounded LMI region for continuous-time systems, and it also gives the corresponding necessary. As for the bounded LMI region, it is for continuous-time systems and discrete-time systems. The above-mentioned unbounded LMI regions contain half-planes and parabola regions, and the bounded LMI regions contain circular discs and ellipse discs.At last, it studies the problem of circular disc pole assignment for delta operator systems. It pro-poses a basic approach of placing all poles of delta operator systems in a specified circular disc. And this method is better than a theory that is proposed by a predecessor.It gives the corresponding numerical examples for the above-mentioned theories of mixed failure model to illustrate the feasibility and effectiveness of the proposed approaches.