Electrical and Electronic Engineering - Research Publications

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Author: Mareels, Iven × Author: Nesic, Dragan × End date: 1999 × Start date: 1999 × Type: Journal Article ×

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Now showing 1 - 4 of 4
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    Minimum phase properties for input nonaffine nonlinear systems
    Nesic, D ; Skafidas, E ; Mareels, IMY ; Evans, RJ (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1999-04)
    For input nonaffine nonlinear control systems, the minimum phase property of the system in general depends on the control law. Switching or discontinuous controllers may offer advantages in this context. In particular, there may not exist a continuous control law which would keep the output identically equal to zero and for which the zero output constrained dynamics are locally stable, whereas a discontinuous controller which achieves this exists. For single-input/single-output input nonaffine nonlinear systems we give sufficient conditions for existence and present a method for the design of discontinuous switching controllers which yield locally stable zero dynamics.
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    Controllability of structured polynomial systems
    Nesic, D ; Mareels, IMY (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1999-04)
    Two algorithms, based on the Grobner basis method, which facilitate the controllability analysis for a class of polynomial systems are presented. The authors combine these algorithms with some recent results on output dead-beat controllability in order to obtain sufficient, as well as necessary, conditions for complete and state dead-beat controllability for a surprisingly large class of polynomial systems. Our results are generically applicable to the class of polynomial systems in strict feedback form.
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    Stabilisability and stability for explicit and implicit polynomial systems: A symbolic computation approach
    Nesic, D ; Mareels, IMY (SPRINGER-VERLAG LONDON LTD, 1999)
    Stabilisability and stability for a large class of discrete-time polynomial systems can be decided using symbolic computation packages for quantifier elimination in the first order theory of real closed fields. A large class of constraints on states of the system and control inputs can be treated in the same way. Stability of a system can be checked by constructing a Lyapunov function, which is assumed to belong to a class of polynomial positive definite functions. Moreover, we show that stability/stabilisability can be decided directly from the ε-δ definition.