摘要:

A global sliding-mode controller can ensure sliding behaviour throughout an entire response for applications of a motor drive. The desired specifications, input disturbances and uncertainties of parameters are considered in the design, and the range of allowable reference input (RARI) is then estimated under the constraint on control activities and the sliding mode requirement; conversely, the designers can specify the demands on the capability of a servo driver to achieve a desired performance. To verify the proposed scheme, we performed experiments on its implementation in a DC brushless servo system. The advantages of the proposed scheme were indicated by comparison with the conventional sliding-mode scheme; the coherence of the theoretical estimates and the experimental results were tabulated for further validation of the proposed scheme.

ISSN:0020-7179    

DOI:10.1080/00207179508921579

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

A switching control strategy is proposed for the stabilization of the simplest form of a power system. The underlying switching control strategy is represented by the pulsed addition of an inductive impedance to the transmission line, through a suitable and well-known arrangement of switching thyristors. It is proved that there exists a local stabilizing sliding mode. The energy function of the system is used as a Lyapunov function to derive a switching control which guarantees the reachability of the sliding surface from the stability region. The switching control scheme is also implemented via a reduced-order nonlinear observer based on exact error linearization achieved through nonlinear output injection. Numerical simulations are presented.

ISSN:0020-7179    

DOI:10.1080/00207179508921580

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

A method is derived for the design of an optimal continuous-time controller for a multivariable plant in the presence of stochastic inputs, which in this case includes coloured noise at the controller output. The design processes are polynomial and the derivation is based on the calculus of variations. An example illustrates the design process.

ISSN:0020-7179    

DOI:10.1080/00207179508921581

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

Two kinds of new square-root algorithms for Rauch-Tung-Striebel (RTS) smoothing formulas are suggested: stable square-root algorithms and a fast square-root (or so-called Chandrasekhar-type) algorithm. The new stable square-root algorithms use square-root arrays composed of smoothed estimates and their error covariances. These square-root algorithms provide many advantages over the conventional algorithms with respect to systolic array and parallel implementations as well as numerical stability and conditioning. For the case of constant-parameter systems, a fast square-root algorithm is suggested, which requires less computation than others.

ISSN:0020-7179    

DOI:10.1080/00207179508921582

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

The authors propose a model reference control (MRC) structure that is different from existing MRC structures. The new approach that we discuss is based on state-space techniques; however, it is not simply an alternative form of the input-output transfer function approach. The method we use to achieve our result is obtained through a concept often called ‘filtered transformation’. The filtered transformation has the effect of transforming the plant into a ‘big’ system that is composed of two subsystems. One subsystem satisfies the standard matching condition, which is not enjoyed by the original plant, while all the unmatched and unmodelled dynamics are drawn into the other unmatched subsystem. The control objective for the original plant is transferred into the control of the matched subsystem while also ensuring that the unmatched subsystem remains uniformly bounded. A robust control approach and the backstepping method are used to guarantee that the overall states are globally uniformly bounded and that the output tracking error is globally uniformly ultimately bounded.

ISSN:0020-7179    

DOI:10.1080/00207179508921583

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

A new expression of a non-conservative robust stability condition is derived for sampled-data systems taking into consideration its convenience in numerical computation. Our expression is described using a global maximum of a certain differentiable function, while the conventional expression includes a global maximum of a structured singular value, which is expensive to compute. When the sampling period is long, the advantages of our expression become clear. A possible problem is that the maximized function may be multimodal. However, the conventional expression has the same problem and even a local maximum is shown to give useful information. Our expression is applicable to a fairly large class of systems including the multi-input multi-output additive and multiplicative perturbation models. Using an example, we show how our expression is computed and make a comparison with the conventional expression.

ISSN:0020-7179    

DOI:10.1080/00207179508921584

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

It is well known that the Popov stability criterion is equivalent to the existence of a Lyapunov function of the Lur'e-Postnikov form. In this paper, this idea is extended to the problem of output feedback robust stabilization. The paper defines a notion of 'absolute stabilization with a Lyapunov function of the Lur'e-Postnikov form’. The main result is a necessary and sufficient condition for this property. This condition is given in terms of the existence of suitable solutions to a pair of algebraic Riccati equations.

ISSN:0020-7179    

DOI:10.1080/00207179508921585

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

Power, inverse power and orthogonal iteration algorithms for determining the eigenstructure of operators on infinite-dimensional Hilbert spaces are developed. Convergence properties of the algorithms are established for certain classes of operators associated with the control of systems described by partial differential equations. A simple finite-difference method is applied to a particular operator to illustrate the utility of the algorithms.

ISSN:0020-7179    

DOI:10.1080/00207179508921586

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

A practical procedure is presented for synthesizing output feedback controllers for uncertain systems based on sliding mode concepts. The class of systems to which the results apply is identified and includes the requirement that the nominal linear system is minimum phase. The procedure proposed for the design of the sliding surface uses established output feedback eigenvalue assignment results. It will be shown that all the assumptions imposed on the system pertain to the design of the sliding surface. The proposed controller, which guarantees attainment of a sliding mode despite the presence of uncertainty requires no additional assumptions.

ISSN:0020-7179    

DOI:10.1080/00207179508921587

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

An algebraic relationship is derived which enables the generalized amplitude dependent describing function to be expressed in terms of the parameters of a general nonlinear integro-differential equation. The algorithm is not restricted to a specific input, but treats the whole class of harmonically related, phase independent, sinusoidal inputs, and is illustrated by a number of examples.

ISSN:0020-7179    

DOI:10.1080/00207179508921588

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor