Formal adjoints of linear DAE operators and their role in optimal control.
Formal modelling of IEC 61499 function blocks with integer-valued data types
Forward invariant sets, homogeneity and small-time local controllability
The property of forward invariance of a subset of with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.
Fractional hold circuits versus positive realness of discrete transfer functions.
Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems [Book]
From optimal control to non-cooperative differential games: a homotopy approach
Functional viability theorems for differential inclusions with memory
Fundamental theorem of proportional state feedback for descriptor systems
Fundamental theorem of state feedback: The case of infinite poles
Further results concerning delay-dependent control for uncertain discrete-time systems with time-varying delay.
Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints
This paper examines the problem of designing a robust fuzzy controller with -stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust fuzzy controller that guarantees (i) the ₂-gain of the mapping from the exogenous input noise to the...
Further results on sliding manifold design and observation for a heat equation
This article presents new extensions regarding a nonlinear control design framework that is suitable for a class of distributed parameter systems with uncertainties (DPS). The control objective is first formulated as a function of the distributed system state. Then, a control is sought such that the set in the state space where this relation is true forms an integral manifold reachable in finite time. The manifold is called a Sliding Manifold. The Sliding Mode controller implements a theoretically...
Fuzzy adaptive control of a class of MISO nonlinear systems
Fuzzy feedback linearizing controller and its equivalence with the fuzzy nonlinear internal model control structure
This paper examines the inverse control problem of nonlinear systems with stable dynamics using a fuzzy modeling approach. Indeed, based on the ability of fuzzy systems to approximate any nonlinear mapping, the nonlinear system is represented by a Takagi-Sugeno (TS) fuzzy system, which is then inverted for designing a fuzzy controller. As an application of the proposed inverse control methodology, two popular control structures, namely, feedback linearization and Nonlinear Internal Model Control...
Fuzzy logic gain scheduling for non-linear servo tracking
This paper proposes the use of gain scheduling as a method of controlling a servo system with hard non-linear elements. The servo controls two elements of a tracker mounted on a ship at sea. There is stiction at the zero velocity point and non-linear friction against the motion of each tracker axis. A dual feedback loop control structure is employed. Fuzzy logic is used to provide smoothly varying non-linear scheduling functions to map the velocity of the servo relevant to the deck of the ship onto...