The state-space approaches have stayed in an absolutely dominant position the field of systems and control for over a half century. Although representation is more suitable deriving state-response solution observation (estimation), it does not provide as much convenience desired problem. In this paper, concept high-order fully actuated (HOFA) firstly revisited, pointed out that HOFA serve really models rather than representing small portion physical systems. Based on model, basic procedure...

An advantage of a high-order fully-actuated (HOFA) system is that there exists controller such constant linear closed-loop with an arbitrarily assignable eigenstructure can be obtained. In this paper, generalised form the conventional first-order strict-feedback systems (SFSs) firstly proposed, and recursive solution proposed to convert equivalently SFS into HOFA model. Then second- SFSs are defined their equivalent models also derived. It further shown that, under certain common conditions,...

In this paper, three types of uncertain high-order nonlinear models are firstly proposed, namely, a single fully actuated (HOFA) model with uncertainties, an second-order strict-feedback system (SFS) and SFS, the relations among these also discussed. Secondly, direct approach for design robust stabilising controllers tracking HOFA proposed based on Lyapunov stability theory. Using obtained control result, second- backstepping methods designs introduced SFSs proposed. The approaches do not...

Three types of high-order system models with parametric uncertainties are introduced, namely, the fully actuated (HOFA) models, and second- strict-feedback (SFS) which possess a common full-actuation structure. Direct design approaches adaptive stabilising controllers tracking HOFA firstly proposed based on Lyapunov stability theory. Using obtained result, direct backstepping methods for designs SFSs also proposed. These do not need to convert systems into first-order ones, thus more...

This paper investigates a novel leader-following attitude control approach for spacecraft formation under the preassigned two-layer performance with consideration of unknown inertial parameters, external disturbance torque, and unmodeled uncertainty. First, prescribed is preselected both angular velocity tracking errors. Subsequently, distributed controller devised, which can guarantee that all involved closed-loop signals are uniformly ultimately bounded. In order to tackle defect...

A type of high-order fully actuated (HOFA) systems with both nonlinear uncertainties and time-varying unknown parameters is considered, a direct approach for the designs robust adaptive stabilising controllers tracking proposed based on Lyapunov stability theory. The established controller composed three parts, basic part cancels known nonlinearities in system simultaneously assigns linear dominant term closed-loop system, robustness overcomes effects adaptation adjusts online to suit effect...

In this paper, high-order fully actuated (HOFA) models with multiple orders for general dynamical control systems are firstly proposed, which controllers can be easily designed such that the closed-loop constant linear ones completely assignable eigenstructures. Based on special feature of type HOFA models, controllability is proposed. It revealed a system represented by controllable subsystem described model, and an extra uncontrollable one or supplementary one. While called stabilisable if...

In this paper, the optimal control problem for dynamical systems represented by general high-order fully actuated (HOFA) models is formulated. The aims to minimise an objective in quadratic form of states and their derivatives certain orders. designed controller a combination linearising nonlinear converted linear system. infinite-time output regulation case, solution essence state feedback dependent on well-known Riccati algebraic equation. sub-fully system feasibility investigated...

Low gain feedback has found several applications in constrained control systems, robust and nonlinear control. refers to a family of stabilizing state gains that are parameterized scalar go zero as the decreases zero. Such can be constructed either by an eigenstructure assignment algorithm or through solution parametric algebraic Riccati equation (ARE). The approach leads form matrix polynomial parameter, while ARE requires for each value parameter. This note proposes alternative low design...

Two new simple, complete, analytical, and restriction-free solutions with complete explicit freedom of the matrix equation AV+BW=VF are proposed. Here (AB) is known controllable, F in Jordan form arbitrary given eigenvalues. Based on proposed this equation, a parametric approach for eigenstructure assignment linear systems via state feedback proposed, two algorithms presented. The result generalizations some previous results simpler more effective. >

A novel integrated guidance and autopilot design method is proposed for homing missiles based on the adaptive block dynamic surface control approach. The fully model established by combining nonlinear missile dynamics with describing pursuit situation of a target in three-dimensional space. problem further converted to state regulation time-varying system matched unmatched uncertainties. new simple algorithm address such problem. stability closed-loop proven Lyapunov theory. six degrees...

and energy. A parametric Lyapunov differential equation approach is proposed in this paper to solve constrained regulation problem. After establishing the fact that Tschauner-Hempel equations are both null controllable with controls of bounded magnitude energy, proves linear periodic controllersemigloballystabilizesthesystem.Equivalently,forany fixedinitialconditions,themagnitudeandenergy control can be made as small desired by tuning some free parameters feedback laws. In comparison...

This technical note is concerned with output feedback consensus of both continuous-time and discrete-time multi-agent systems (MASs) characterized by high-order linear directed communication topologies. Distributed reduced-order observer based protocols are established only using the relative outputs inputs neighboring agents. It shown that consensusability proposed equivalent to state protocol. Under condition open-loop dynamics MASs not exponentially unstable, a truncated protocol...

Two stochastic model predictive control algorithms, which are referred to as distributionally robust proposed in this article for a class of discrete linear systems with unbounded noise. Participially, chance constraints imposed on both the state and control, makes problem more challenging. Inspired by ideas from optimization (DRO), two deterministic convex reformulations tackling constraints. Rigorous computational complexity analysis is carried out compare algorithms existing methods....

Two types of high-order fully actuated (HOFA) system models subject to external disturbances are firstly introduced. For the type HOFA systems with deterministic disturbances, problem disturbance attenuation via state feedback is treated. While for dynamical asymptotic decoupling output considered. Utilising full-actuation feature systems, and controllers corresponding conveniently designed such that constant linear closed-loop rejection properties resulted in. Parametric designs both...

A basic introduction to high-order fully actuated (HOFA) approaches for discrete-time systems is given. Firstly, it shown that, different from the continuous-time systems, general dynamical can be represented by two types of HOFA models, namely, step forward models and backward models. Secondly, controllers are designed, which result in constant linear closed-loop with arbitrarily assignable eigenstructures. The related problem feasibility also discussed. well-known feedback linearisable...

Tracking control of general dynamical systems in high-order fully actuated (HOFA) system representation is solved. For the case tracking a constant or slow time-varying signal presence disturbances, generalised PID scheme proposed, which realises asymptotical to prescribed and also guarantees that state derivatives certain orders converge origin. be tracked generated by reference model, model (MRT) controller presented, relies on solution type Sylvester matrix equations desired requirement....