This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and un...This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.展开更多
The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for ...The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for MSOL systems, sufficient and necessary conditions for the design of the type of generalized Luenberger observers were given under the assumption of controllability and observability of the MSOL system. Based on the proposed conditions and the right coprime factorization of the system, a parametric approach to the design of such type of observers was presented. The proposed approach provides all the degrees of design freedom, which can be further utilized to achieve additional system specifications. A spring-mass system was utilized to show the effect of the proposed method.展开更多
The solution of two combined generalized Sylvester matrix equations is studied. It is first shown that the two combined generalized Sylvester matrix equations can be converted into a normal Sylvester matrix equation t...The solution of two combined generalized Sylvester matrix equations is studied. It is first shown that the two combined generalized Sylvester matrix equations can be converted into a normal Sylvester matrix equation through extension, and then with the help of a result for solution to normal Sylvester matrix equations, the complete solution to the two combined generalized Sylvester matrix equations is derived. A demonstrative example shows the effect of the proposed approach.展开更多
基金Outstanding Youth Science Foundation of P.R.China
文摘This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.
文摘The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for MSOL systems, sufficient and necessary conditions for the design of the type of generalized Luenberger observers were given under the assumption of controllability and observability of the MSOL system. Based on the proposed conditions and the right coprime factorization of the system, a parametric approach to the design of such type of observers was presented. The proposed approach provides all the degrees of design freedom, which can be further utilized to achieve additional system specifications. A spring-mass system was utilized to show the effect of the proposed method.
基金This work was partially supported by the Chinese Outstanding Youth Foundation (No. 69925308).
文摘The solution of two combined generalized Sylvester matrix equations is studied. It is first shown that the two combined generalized Sylvester matrix equations can be converted into a normal Sylvester matrix equation through extension, and then with the help of a result for solution to normal Sylvester matrix equations, the complete solution to the two combined generalized Sylvester matrix equations is derived. A demonstrative example shows the effect of the proposed approach.
