ISSN:1049-8923    

DOI:10.1002/rnc.4590040602

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractStability concepts arising in the literature on absolute stability, difference inclusions and interval matrices are all shown to be equivalent to simultaneous asymptotic stability of a class of linear time‐varying discrete systems and, in turn, to exponential stability. This enables the classification of an interval matrix stability test due to Baueret al., a Lyapunov indicator test due to Barabanov and a constructive Lyapunov function test due to Brayton and Tong into a hierarchy of stability tests. Some applications of these tests are given and it is observed that they are not, in general, polynomial‐time te

ISSN:1049-8923    

DOI:10.1002/rnc.4590040603

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractLoop transfer recovery (LTR) techniques are known to enhance the input or output robustness properties of linear quadratic gaussian (LQG) designs. One restriction of the existing discrete‐time LQG/LTR methods is that they can obtain arbitrarily good recovery only for minimum‐phase plants. A number of researchers have attempted to devise new techniques to cope with non‐minimum‐phase plants and have achieved some degrees of success.6‐9Nevertheless, their methods only work for a restricted class of non‐minimum‐phase systems. Here, we explore the zero placement capability of generalized sampled‐data hold functions (GSHF) developed in Reference 14 and show that using the arbitrary zero placement capability of GSHF, the discretized plant can always be made minimum‐phase. As a consequence, we are able to achieve discrete‐time perfect recovery using a GSHF‐based compensator irrespective of whether the underlying continuous‐time plant

ISSN:1049-8923    

DOI:10.1002/rnc.4590040604

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper we study the design of a new two‐degree‐of‐freedom filter for the internal model control (IMC) method. The new filter alleviates some disadvantages of the standard IMC filter when the IMC method is applied to unstable plants that do not have non‐minimum‐phase zeros. We show that by employing the new filter, the resulting system has a flatter frequency response, better stability robustness, and little overshoot in the step response. Furthermore, one of its design parameters can be related directly to the closed‐loop bandwidth and the other parameter can be used to control the recovery time after an overshoot has occurred in the step response. These features are important in the application of the IMC method to a new approach of adaptive robust control. Examples are given in the paper to illustrate the new fi

ISSN:1049-8923    

DOI:10.1002/rnc.4590040605

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper a new frequency‐domain condition for the robust stability of a class of large‐scale systems is derived. It is assumed that each subsystem contains one time‐invariant nonlinearity satisfying a sector condition, and that the interconnecting functions are linearly bounded by the norms of the scalar outputs of subsystems. In deriving the above such Lur'e‐type Lyapunov functions of subsystems are constructed so that their weighted sum is a Lyapunov function of the overall system. This condition is potential to give a sharper result than the circle‐condition‐type result which was obtained previously. Furthermore, a method to estimate the domain of attraction using the above Lyapunov function is also given when the sector condition is satisfied o

ISSN:1049-8923    

DOI:10.1002/rnc.4590040606

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper we present a numerical method for estimating the current state of a nonlinear control system. We use finite differences to discretize a modified version of the finite‐time observer equations in James. The discretized equations are simple and easily programmed. The convergence and accuracy of the scheme is proved, and the scheme enjoys a number of important properties: availability of rate of convergence estimates, good robustness characteristics, and the ability to handle certain types of discontinuities in the observations. The major disadvantage is that the number of grid points required increases exponentially with the number of state dimension

ISSN:1049-8923    

DOI:10.1002/rnc.4590040607

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

ISSN:1049-8923    

DOI:10.1002/rnc.4590040608

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY