In this paper, we study the H/sub /spl infin// control problem for nonlinear descriptor systems governed by a set of differential-algebraic equations (DAEs) form Ex/spl dot/ = F(x, w, u), z Z(x, y Y(x, where E is, in general, singular matrix. Necessary and sufficient conditions are derived existence controller solving problem. We first give various solvability DAEs. Both state-feedback output-feedback cases considered. Then, necessary output feedback to be solvable obtained terms two...

In this paper, sufficient conditions for the existence of a solution to non-linear H filtering problem are presented. The expressed in terms Hamilton-Jacobi inequality involving only n + 1 (for time-varying case) or time-invariant independent variables. Both affine and general systems examined. case, one kind positive radial is presented, an explicit estimation achievable disturbance attenuation level given. Illustrative examples also included.

State-space formulas are derived for a family of controllers solving the nonlinear H/sup /spl infin//-output feedback control problem. The given expressed in terms solutions to two Hamilton-Jacobi inequalities n independent variables. These obtained by interconnecting "central controller" with an asymptotically stable, free system having L/sup 2/-gain les//spl gamma/. All proofs simple and clear provide deeper insight synthesis corresponding linear infin// controllers.

This note presents an explicit solution to the problem of disturbance attenuation with internal stability for discrete-time nonlinear descriptor systems. Both static-state feedback and dynamic output cases are considered. In particular, we characterize a family H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> controllers solving locally around neighborhood origin. To do this, first derive two criteria systems, then, version bounded...

The authors consider the standard H/sup /spl infin//-control problem for more general nonlinear systems modeled by equations in which penalty output and measured are, general, functions of state, exogenous input, control input. In particular, we characterize a family infin// controllers via feedback as well state feedback, solving problem. results obtained generalize some recent literature.

In this paper, sufficient conditions are presented for the existence of a solution to nonlinear H/sup /spl infin// filtering problem. The expressed in terms Hamilton-Jacobi inequality involving only n+1 (for time-varying case) or n time-invariant independent variables. Both affine and general systems examined. case, we also present one kind positive radial inequality, give an explicit estimation achievable disturbance attenuation level.

In this paper, we present a numerical method for solving nonlinear differential algebraic equations (DAE's) based on the backward formulas (BDF) and Pade series. Usefulness of is then illustrated by example, which concerned with derivation optimal guidance law spacecraft. This kind problems called trajectory-prescribed path control (TPPC) in literature. We reformulate problem as Hamiltonian DAE system (usually higher index). After establishing spacecraft dynamics, can derive proposed method.

Abstract This paper presents a new bounded real lemma for discrete‐time linear descriptor systems. We first present necessary and sufficient condition the admissibility of systems expressed in terms strict matrix inequalities (LMIs). then prove that system is ‐stable if only symmetric satisfying two LMIs can be found. Two illustrative examples are provided verification.

This paper proposes an optimal regional pole placement approach for sun tracking control of high-concentration photovoltaic systems. A static output feedback controller is designed to minimize LQG cost function with a sector region constraint. The problem cannot be solved by LMI since it non-convex optimization problem. Based on the barrier method, we instead solve auxiliary minimization obtain approximate solution. Simulation results show benefit our approach. Copyright © 2010 John Wiley &...

This paper considers the synthesis of stabilizing controllers for nonlinear control-affine systems under multiple state constraints. A new control Lyapunov-barrier function approach is introduced solving considered problem. Assuming a classical Lyapunov function, two possible methods constructing functions are discussed. Sufficient conditions existence derived. With modifying Sontag's formula, an explicit state-constrained feedback law presented. Finally, numerical examples provided to...

Considers the standard nonlinear H/sup /spl infin// output feedback control problem and proposes a family of controllers to solve problem. These are parametrized by strictly dissipative free system. The parametrization given extends some previous results on in case state feedback. In linear case, is shown be exactly reduced well-known (sub)optimal controllers.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

This correspondence presents a rule for deriving various forms of continued-fraction expansions transfer function from its power-series around several points. is especially useful computing multipoint Padé approximants to given rational or irrational.

This paper addresses the event-triggered stabilization problem for nonlinear control-affine systems under state constraints. First, a strong control Lyapunov barrier function (CLBF) method is applied constructing continuous state-constrained stabilizing controllers. Additionally, sufficient conditions existence of CLBFs are derived. With obtained feedback laws, new policy proposed reducing number communication events without input-to-state stability (ISS) assumption. It proved that Zeno...

In this correspondence, the H/sup /spl infin// control problem is studied for finite-dimensional linear time-varying (FDLTV) systems. State-space formulas are derived all FDLTV controllers solving problem. These parameterized by interconnection of "central controller" with an exponentially stable, free system having norm strictly less than gamma/. Our approach drawn from some changes variables, a version strict bounded real lemma, and Youla parameterization; thus, proofs given simple clear.

Abstract In this paper, some useful properties of generalized algebraic Riccati equations and positive real lemma for descriptor systems are given. Based on these results, the main purpose paper is to investigate (PR) control problem systems. Necessary sufficient conditions derived solution expressed in terms two which may be considered generalizations obtained by Sun et al. (1994). When hold, state space formulae all controllers solving also