摘要:

In this paper, the problem of finding inputs which generate zero outputs in linear time-invariant control systems of the formE(dx/dt) =Ax+Buis considered whereEandAare not necessarily square matrices. This problem is solved using the theory of matrix generalized inverses.

ISSN:0020-7179    

DOI:10.1080/00207178708933974

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

The method in Chu (1986) for the solution of the pole assignment problem of separable 2-D linear discrete systems with state feedback is improved and extended toq-D linear discrete systems and systems with output feedback.

ISSN:0020-7179    

DOI:10.1080/00207178708933975

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

The identification of a linear continuous-time model for a multivariable dynamic system from sampled input-output observations is considered. An augmented hybrid parametric method is proposed to overcome the interference of the coloured output noise in the sampled output. The parameters of the continuous-time process model are estimated from an augmented input-output realization which utilizes the dynamic information of the discrete-time noise model. Numerical examples are presented to illustrate how to obtain an adequate dynamic process model, considering the coloured output noise, by using a discrete-time noise model.

ISSN:0020-7179    

DOI:10.1080/00207178708933976

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

This paper considers a class of type-1 plants and an adaptive pole-assignment control which is constrained by a saturation non-linearity. The adaptive control system is BIBO stable if a constrained parameter estimation algorithm is employed. Also, the desired system performance can be achieved under certain conditions.

ISSN:0020-7179    

DOI:10.1080/00207178708933977

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

This paper presents two techniques for system order determination in continuous SISO systems. The first method is based on the behaviour of singular values of a specific non-square matrix, the elements of which are calculated from multiple integrals of input and output data. The second method uses shifted Legendre polynomials to produce a square matrix whose non-zero eigenvalues then identify the order of the system under consideration.

ISSN:0020-7179    

DOI:10.1080/00207178708933978

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

In Part 1 of this paper (Hassan and Amin 1987) a simple algebraic solution for the time-optimal output regulator problem was presented. This solution, which consists of a state feedback control law, has been obtained for all classes of right-invertible decouplable systemsS(A, B, C, E). The results of Part 1 are here extended to all classes of right-invertible systemsS(A, B, C, E). A set of optimal output deadbeat indices (called the ‘optimal set’) is defined and related to the observability indices of the optimal closed-loop system. The time-optimal output regulator problem for a right-invertible non-decouplable systemS(A, B, C, E)is resolved by transformingSinto a decouplable systemSc(A, B, Cc, Ec)having the optimal output deadbeat index σ* ofS. First, an algorithm is presented to construct iteratively, in a well-defined optimal sense, a unimodular left compensatorL(z)and a compensated decouplable systemSc(A, B, Cc, Ec)from the state-space parameters ofS. Then, a family of optimal state feedback matricesFc*, which attains the optimal set ofSc, is given as the optimal solutionF* ofS. For any right-invertible systemS(A, B, C, E), it is shown that the optimal number of control iterations required at most to zero its outputs is equal to the associated uniquely defined μ1index of the right Wiener-Hopf factorization at infinity ofH(z)(the transfer function matrix of the system). A numerical example is worked out to illustrate the design procedures of time-optimal output regulators for non-decouplable systems.

ISSN:0020-7179    

DOI:10.1080/00207178708933979

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

The design ofH∞controllers for scalar self-tuning control applications is considered. The conventional cost function employed inH∞design involves the sum of weighted sensitivity and complementary sensitivity terms and leads to a control law which may be too difficult to calculate on-line. The cost function defined here allows both such terms to be costed, but is constructed so that the control law calculation is much simplified.

ISSN:0020-7179    

DOI:10.1080/00207178708933980

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

The general solution of the optimal LQG problem using the polynomial equation approach involves the solution of a couple of two-sided matrix polynomial equations. The conditions under which a single one-sided equation which is related to the original two (the ‘implied’ diophantine equation) yields the unique optimal controller are derived in this paper. The result has considerable relevance to aspects such as computation and self-tuning control applications.

ISSN:0020-7179    

DOI:10.1080/00207178708933981

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

In this paper we study the instability aspects of (proportional + derivative) controlled non-linear and/or time-varying feedback systems. It is interesting that in the course of derivations we meet with a new set of non-linearities {Fi} which is an intermediate type between the Popov {Fp} type and the monotone {Fm} type of first and third quadrant non-linearities.

ISSN:0020-7179    

DOI:10.1080/00207178708933982

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

In this paper we investigate issues related to the control of linear multivariate systems which contain structured, parametric-type uncertainties. The objective is to construct parameter-independent proper compensators that provide ‘robust control’. Specifically, we consider the question of robust pole assignment. Systems are described by matrix fraction representations which involve a structured parametric form of uncertainty. We suggest conditions for robust pole assignability and demonstrate how to construct the required proper compensators. For the problem considered, we show that the class of systems which satisfy these conditions is quite large and we include results on generic solvability. The method is demonstrated by a physical example.

ISSN:0020-7179    

DOI:10.1080/00207178708933983

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor