Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Novel Sliding Mode Control for a Class of Affine Dynamic Systems   This paper proposes a novel sliding mode control (SMC) method for a class of
affine dynamic systems. In this type of systems, the high-frequency gain matrix
(HFGM), which is the matrix multiplying the control vector in the dynamic
equation of the sliding variables vector, is neither deterministic nor positive
definite. This case has rarely been covered by general SMC methods, which
perform well under the condition that the HFGM is certain or uncertain but
positive definite. In this study, the control law is determined by solving a
nonlinear vector equation instead of the conventional algebraic expression,
which is not applicable when the HFGM is uncertain and non-positive definite.
Theorems with some relaxed system parametric uncertainty assumptions are
proposed to guarantee the existence and uniqueness of the solution, and proofs
of them, based on the principle of the convex cone set, are given in the text.
The proposed control strategy can be easily applied in practice, and the
chattering caused by the discontinuous control can be suppressed, as it can in
general SMCs. The proposed controller was used in two affine dynamic systems,
and the simulation results demonstrate its effectiveness.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics